Jump to content
BrainDen.com - Brain Teasers
  • 0
Sign in to follow this  
Guest

Question

Guest

Below given is a blank equation:

____ + ____ = ____

you are given digits 1,2,3,4,5,and 6

Use each only once once without any mathematical operator other than the ones provided in the equation to make this equation true.

Each digit must be used in every solution.

I know of three solutions. Can you provide more?

Share this post


Link to post
Share on other sites

16 answers to this question

  • 0
Guest

EDIT: Nevermind, wrong answer...

Edited by Anza Power

Share this post


Link to post
Share on other sites
  • 0
Guest

The only way i figured it could go is

##+##=##

because it can't be #+##=### or any other type of combination, but I've tried all possibilities and none was true:

12+34=56 FALSE

12+34=65 FALSE

12+35=46 FALSE

12+35=64 FALSE

12+36=45 FALSE

12+36=54 FALSE

12+43=56 FALSE

12+43=65 FALSE

12+45=36 FALSE

12+45=63 FALSE

12+46=35 FALSE

12+46=53 FALSE

12+53=46 FALSE

12+53=64 FALSE

12+54=36 FALSE

12+54=63 FALSE

12+56=34 FALSE

12+56=43 FALSE

12+63=45 FALSE

12+63=54 FALSE

12+64=35 FALSE

12+64=53 FALSE

12+65=34 FALSE

12+65=43 FALSE

13+24=56 FALSE

13+24=65 FALSE

13+25=46 FALSE

13+25=64 FALSE

13+26=45 FALSE

13+26=54 FALSE

13+42=56 FALSE

13+42=65 FALSE

13+45=26 FALSE

13+45=62 FALSE

13+46=25 FALSE

13+46=52 FALSE

13+52=46 FALSE

13+52=64 FALSE

13+54=26 FALSE

13+54=62 FALSE

13+56=24 FALSE

13+56=42 FALSE

13+62=45 FALSE

13+62=54 FALSE

13+64=25 FALSE

13+64=52 FALSE

13+65=24 FALSE

13+65=42 FALSE

14+23=56 FALSE

14+23=65 FALSE

14+25=36 FALSE

14+25=63 FALSE

14+26=35 FALSE

14+26=53 FALSE

14+32=56 FALSE

14+32=65 FALSE

14+35=26 FALSE

14+35=62 FALSE

14+36=25 FALSE

14+36=52 FALSE

14+52=36 FALSE

14+52=63 FALSE

14+53=26 FALSE

14+53=62 FALSE

14+56=23 FALSE

14+56=32 FALSE

14+62=35 FALSE

14+62=53 FALSE

14+63=25 FALSE

14+63=52 FALSE

14+65=23 FALSE

14+65=32 FALSE

15+23=46 FALSE

15+23=64 FALSE

15+24=36 FALSE

15+24=63 FALSE

15+26=34 FALSE

15+26=43 FALSE

15+32=46 FALSE

15+32=64 FALSE

15+34=26 FALSE

15+34=62 FALSE

15+36=24 FALSE

15+36=42 FALSE

15+42=36 FALSE

15+42=63 FALSE

15+43=26 FALSE

15+43=62 FALSE

15+46=23 FALSE

15+46=32 FALSE

15+62=34 FALSE

15+62=43 FALSE

15+63=24 FALSE

15+63=42 FALSE

15+64=23 FALSE

15+64=32 FALSE

16+23=45 FALSE

16+23=54 FALSE

16+24=35 FALSE

16+24=53 FALSE

16+25=34 FALSE

16+25=43 FALSE

16+32=45 FALSE

16+32=54 FALSE

16+34=25 FALSE

16+34=52 FALSE

16+35=24 FALSE

16+35=42 FALSE

16+42=35 FALSE

16+42=53 FALSE

16+43=25 FALSE

16+43=52 FALSE

16+45=23 FALSE

16+45=32 FALSE

16+52=34 FALSE

16+52=43 FALSE

16+53=24 FALSE

16+53=42 FALSE

16+54=23 FALSE

16+54=32 FALSE

21+34=56 FALSE

21+34=65 FALSE

21+35=46 FALSE

21+35=64 FALSE

21+36=45 FALSE

21+36=54 FALSE

21+43=56 FALSE

21+43=65 FALSE

21+45=36 FALSE

21+45=63 FALSE

21+46=35 FALSE

21+46=53 FALSE

21+53=46 FALSE

21+53=64 FALSE

21+54=36 FALSE

21+54=63 FALSE

21+56=34 FALSE

21+56=43 FALSE

21+63=45 FALSE

21+63=54 FALSE

21+64=35 FALSE

21+64=53 FALSE

21+65=34 FALSE

21+65=43 FALSE

23+14=56 FALSE

23+14=65 FALSE

23+15=46 FALSE

23+15=64 FALSE

23+16=45 FALSE

23+16=54 FALSE

23+41=56 FALSE

23+41=65 FALSE

23+45=16 FALSE

23+45=61 FALSE

23+46=15 FALSE

23+46=51 FALSE

23+51=46 FALSE

23+51=64 FALSE

23+54=16 FALSE

23+54=61 FALSE

23+56=14 FALSE

23+56=41 FALSE

23+61=45 FALSE

23+61=54 FALSE

23+64=15 FALSE

23+64=51 FALSE

23+65=14 FALSE

23+65=41 FALSE

24+13=56 FALSE

24+13=65 FALSE

24+15=36 FALSE

24+15=63 FALSE

24+16=35 FALSE

24+16=53 FALSE

24+31=56 FALSE

24+31=65 FALSE

24+35=16 FALSE

24+35=61 FALSE

24+36=15 FALSE

24+36=51 FALSE

24+51=36 FALSE

24+51=63 FALSE

24+53=16 FALSE

24+53=61 FALSE

24+56=13 FALSE

24+56=31 FALSE

24+61=35 FALSE

24+61=53 FALSE

24+63=15 FALSE

24+63=51 FALSE

24+65=13 FALSE

24+65=31 FALSE

25+13=46 FALSE

25+13=64 FALSE

25+14=36 FALSE

25+14=63 FALSE

25+16=34 FALSE

25+16=43 FALSE

25+31=46 FALSE

25+31=64 FALSE

25+34=16 FALSE

25+34=61 FALSE

25+36=14 FALSE

25+36=41 FALSE

25+41=36 FALSE

25+41=63 FALSE

25+43=16 FALSE

25+43=61 FALSE

25+46=13 FALSE

25+46=31 FALSE

25+61=34 FALSE

25+61=43 FALSE

25+63=14 FALSE

25+63=41 FALSE

25+64=13 FALSE

25+64=31 FALSE

26+13=45 FALSE

26+13=54 FALSE

26+14=35 FALSE

26+14=53 FALSE

26+15=34 FALSE

26+15=43 FALSE

26+31=45 FALSE

26+31=54 FALSE

26+34=15 FALSE

26+34=51 FALSE

26+35=14 FALSE

26+35=41 FALSE

26+41=35 FALSE

26+41=53 FALSE

26+43=15 FALSE

26+43=51 FALSE

26+45=13 FALSE

26+45=31 FALSE

26+51=34 FALSE

26+51=43 FALSE

26+53=14 FALSE

26+53=41 FALSE

26+54=13 FALSE

26+54=31 FALSE

31+24=56 FALSE

31+24=65 FALSE

31+25=46 FALSE

31+25=64 FALSE

31+26=45 FALSE

31+26=54 FALSE

31+42=56 FALSE

31+42=65 FALSE

31+45=26 FALSE

31+45=62 FALSE

31+46=25 FALSE

31+46=52 FALSE

31+52=46 FALSE

31+52=64 FALSE

31+54=26 FALSE

31+54=62 FALSE

31+56=24 FALSE

31+56=42 FALSE

31+62=45 FALSE

31+62=54 FALSE

31+64=25 FALSE

31+64=52 FALSE

31+65=24 FALSE

31+65=42 FALSE

32+14=56 FALSE

32+14=65 FALSE

32+15=46 FALSE

32+15=64 FALSE

32+16=45 FALSE

32+16=54 FALSE

32+41=56 FALSE

32+41=65 FALSE

32+45=16 FALSE

32+45=61 FALSE

32+46=15 FALSE

32+46=51 FALSE

32+51=46 FALSE

32+51=64 FALSE

32+54=16 FALSE

32+54=61 FALSE

32+56=14 FALSE

32+56=41 FALSE

32+61=45 FALSE

32+61=54 FALSE

32+64=15 FALSE

32+64=51 FALSE

32+65=14 FALSE

32+65=41 FALSE

34+12=56 FALSE

34+12=65 FALSE

34+15=26 FALSE

34+15=62 FALSE

34+16=25 FALSE

34+16=52 FALSE

34+21=56 FALSE

34+21=65 FALSE

34+25=16 FALSE

34+25=61 FALSE

34+26=15 FALSE

34+26=51 FALSE

34+51=26 FALSE

34+51=62 FALSE

34+52=16 FALSE

34+52=61 FALSE

34+56=12 FALSE

34+56=21 FALSE

34+61=25 FALSE

34+61=52 FALSE

34+62=15 FALSE

34+62=51 FALSE

34+65=12 FALSE

34+65=21 FALSE

35+12=46 FALSE

35+12=64 FALSE

35+14=26 FALSE

35+14=62 FALSE

35+16=24 FALSE

35+16=42 FALSE

35+21=46 FALSE

35+21=64 FALSE

35+24=16 FALSE

35+24=61 FALSE

35+26=14 FALSE

35+26=41 FALSE

35+41=26 FALSE

35+41=62 FALSE

35+42=16 FALSE

35+42=61 FALSE

35+46=12 FALSE

35+46=21 FALSE

35+61=24 FALSE

35+61=42 FALSE

35+62=14 FALSE

35+62=41 FALSE

35+64=12 FALSE

35+64=21 FALSE

36+12=45 FALSE

36+12=54 FALSE

36+14=25 FALSE

36+14=52 FALSE

36+15=24 FALSE

36+15=42 FALSE

36+21=45 FALSE

36+21=54 FALSE

36+24=15 FALSE

36+24=51 FALSE

36+25=14 FALSE

36+25=41 FALSE

36+41=25 FALSE

36+41=52 FALSE

36+42=15 FALSE

36+42=51 FALSE

36+45=12 FALSE

36+45=21 FALSE

36+51=24 FALSE

36+51=42 FALSE

36+52=14 FALSE

36+52=41 FALSE

36+54=12 FALSE

36+54=21 FALSE

41+23=56 FALSE

41+23=65 FALSE

41+25=36 FALSE

41+25=63 FALSE

41+26=35 FALSE

41+26=53 FALSE

41+32=56 FALSE

41+32=65 FALSE

41+35=26 FALSE

41+35=62 FALSE

41+36=25 FALSE

41+36=52 FALSE

41+52=36 FALSE

41+52=63 FALSE

41+53=26 FALSE

41+53=62 FALSE

41+56=23 FALSE

41+56=32 FALSE

41+62=35 FALSE

41+62=53 FALSE

41+63=25 FALSE

41+63=52 FALSE

41+65=23 FALSE

41+65=32 FALSE

42+13=56 FALSE

42+13=65 FALSE

42+15=36 FALSE

42+15=63 FALSE

42+16=35 FALSE

42+16=53 FALSE

42+31=56 FALSE

42+31=65 FALSE

42+35=16 FALSE

42+35=61 FALSE

42+36=15 FALSE

42+36=51 FALSE

42+51=36 FALSE

42+51=63 FALSE

42+53=16 FALSE

42+53=61 FALSE

42+56=13 FALSE

42+56=31 FALSE

42+61=35 FALSE

42+61=53 FALSE

42+63=15 FALSE

42+63=51 FALSE

42+65=13 FALSE

42+65=31 FALSE

43+12=56 FALSE

43+12=65 FALSE

43+15=26 FALSE

43+15=62 FALSE

43+16=25 FALSE

43+16=52 FALSE

43+21=56 FALSE

43+21=65 FALSE

43+25=16 FALSE

43+25=61 FALSE

43+26=15 FALSE

43+26=51 FALSE

43+51=26 FALSE

43+51=62 FALSE

43+52=16 FALSE

43+52=61 FALSE

43+56=12 FALSE

43+56=21 FALSE

43+61=25 FALSE

43+61=52 FALSE

43+62=15 FALSE

43+62=51 FALSE

43+65=12 FALSE

43+65=21 FALSE

45+12=36 FALSE

45+12=63 FALSE

45+13=26 FALSE

45+13=62 FALSE

45+16=23 FALSE

45+16=32 FALSE

45+21=36 FALSE

45+21=63 FALSE

45+23=16 FALSE

45+23=61 FALSE

45+26=13 FALSE

45+26=31 FALSE

45+31=26 FALSE

45+31=62 FALSE

45+32=16 FALSE

45+32=61 FALSE

45+36=12 FALSE

45+36=21 FALSE

45+61=23 FALSE

45+61=32 FALSE

45+62=13 FALSE

45+62=31 FALSE

45+63=12 FALSE

45+63=21 FALSE

46+12=35 FALSE

46+12=53 FALSE

46+13=25 FALSE

46+13=52 FALSE

46+15=23 FALSE

46+15=32 FALSE

46+21=35 FALSE

46+21=53 FALSE

46+23=15 FALSE

46+23=51 FALSE

46+25=13 FALSE

46+25=31 FALSE

46+31=25 FALSE

46+31=52 FALSE

46+32=15 FALSE

46+32=51 FALSE

46+35=12 FALSE

46+35=21 FALSE

46+51=23 FALSE

46+51=32 FALSE

46+52=13 FALSE

46+52=31 FALSE

46+53=12 FALSE

46+53=21 FALSE

51+23=46 FALSE

51+23=64 FALSE

51+24=36 FALSE

51+24=63 FALSE

51+26=34 FALSE

51+26=43 FALSE

51+32=46 FALSE

51+32=64 FALSE

51+34=26 FALSE

51+34=62 FALSE

51+36=24 FALSE

51+36=42 FALSE

51+42=36 FALSE

51+42=63 FALSE

51+43=26 FALSE

51+43=62 FALSE

51+46=23 FALSE

51+46=32 FALSE

51+62=34 FALSE

51+62=43 FALSE

51+63=24 FALSE

51+63=42 FALSE

51+64=23 FALSE

51+64=32 FALSE

52+13=46 FALSE

52+13=64 FALSE

52+14=36 FALSE

52+14=63 FALSE

52+16=34 FALSE

52+16=43 FALSE

52+31=46 FALSE

52+31=64 FALSE

52+34=16 FALSE

52+34=61 FALSE

52+36=14 FALSE

52+36=41 FALSE

52+41=36 FALSE

52+41=63 FALSE

52+43=16 FALSE

52+43=61 FALSE

52+46=13 FALSE

52+46=31 FALSE

52+61=34 FALSE

52+61=43 FALSE

52+63=14 FALSE

52+63=41 FALSE

52+64=13 FALSE

52+64=31 FALSE

53+12=46 FALSE

53+12=64 FALSE

53+14=26 FALSE

53+14=62 FALSE

53+16=24 FALSE

53+16=42 FALSE

53+21=46 FALSE

53+21=64 FALSE

53+24=16 FALSE

53+24=61 FALSE

53+26=14 FALSE

53+26=41 FALSE

53+41=26 FALSE

53+41=62 FALSE

53+42=16 FALSE

53+42=61 FALSE

53+46=12 FALSE

53+46=21 FALSE

53+61=24 FALSE

53+61=42 FALSE

53+62=14 FALSE

53+62=41 FALSE

53+64=12 FALSE

53+64=21 FALSE

54+12=36 FALSE

54+12=63 FALSE

54+13=26 FALSE

54+13=62 FALSE

54+16=23 FALSE

54+16=32 FALSE

54+21=36 FALSE

54+21=63 FALSE

54+23=16 FALSE

54+23=61 FALSE

54+26=13 FALSE

54+26=31 FALSE

54+31=26 FALSE

54+31=62 FALSE

54+32=16 FALSE

54+32=61 FALSE

54+36=12 FALSE

54+36=21 FALSE

54+61=23 FALSE

54+61=32 FALSE

54+62=13 FALSE

54+62=31 FALSE

54+63=12 FALSE

54+63=21 FALSE

56+12=34 FALSE

56+12=43 FALSE

56+13=24 FALSE

56+13=42 FALSE

56+14=23 FALSE

56+14=32 FALSE

56+21=34 FALSE

56+21=43 FALSE

56+23=14 FALSE

56+23=41 FALSE

56+24=13 FALSE

56+24=31 FALSE

56+31=24 FALSE

56+31=42 FALSE

56+32=14 FALSE

56+32=41 FALSE

56+34=12 FALSE

56+34=21 FALSE

56+41=23 FALSE

56+41=32 FALSE

56+42=13 FALSE

56+42=31 FALSE

56+43=12 FALSE

56+43=21 FALSE

61+23=45 FALSE

61+23=54 FALSE

61+24=35 FALSE

61+24=53 FALSE

61+25=34 FALSE

61+25=43 FALSE

61+32=45 FALSE

61+32=54 FALSE

61+34=25 FALSE

61+34=52 FALSE

61+35=24 FALSE

61+35=42 FALSE

61+42=35 FALSE

61+42=53 FALSE

61+43=25 FALSE

61+43=52 FALSE

61+45=23 FALSE

61+45=32 FALSE

61+52=34 FALSE

61+52=43 FALSE

61+53=24 FALSE

61+53=42 FALSE

61+54=23 FALSE

61+54=32 FALSE

62+13=45 FALSE

62+13=54 FALSE

62+14=35 FALSE

62+14=53 FALSE

62+15=34 FALSE

62+15=43 FALSE

62+31=45 FALSE

62+31=54 FALSE

62+34=15 FALSE

62+34=51 FALSE

62+35=14 FALSE

62+35=41 FALSE

62+41=35 FALSE

62+41=53 FALSE

62+43=15 FALSE

62+43=51 FALSE

62+45=13 FALSE

62+45=31 FALSE

62+51=34 FALSE

62+51=43 FALSE

62+53=14 FALSE

62+53=41 FALSE

62+54=13 FALSE

62+54=31 FALSE

63+12=45 FALSE

63+12=54 FALSE

63+14=25 FALSE

63+14=52 FALSE

63+15=24 FALSE

63+15=42 FALSE

63+21=45 FALSE

63+21=54 FALSE

63+24=15 FALSE

63+24=51 FALSE

63+25=14 FALSE

63+25=41 FALSE

63+41=25 FALSE

63+41=52 FALSE

63+42=15 FALSE

63+42=51 FALSE

63+45=12 FALSE

63+45=21 FALSE

63+51=24 FALSE

63+51=42 FALSE

63+52=14 FALSE

63+52=41 FALSE

63+54=12 FALSE

63+54=21 FALSE

64+12=35 FALSE

64+12=53 FALSE

64+13=25 FALSE

64+13=52 FALSE

64+15=23 FALSE

64+15=32 FALSE

64+21=35 FALSE

64+21=53 FALSE

64+23=15 FALSE

64+23=51 FALSE

64+25=13 FALSE

64+25=31 FALSE

64+31=25 FALSE

64+31=52 FALSE

64+32=15 FALSE

64+32=51 FALSE

64+35=12 FALSE

64+35=21 FALSE

64+51=23 FALSE

64+51=32 FALSE

64+52=13 FALSE

64+52=31 FALSE

64+53=12 FALSE

64+53=21 FALSE

65+12=34 FALSE

65+12=43 FALSE

65+13=24 FALSE

65+13=42 FALSE

65+14=23 FALSE

65+14=32 FALSE

65+21=34 FALSE

65+21=43 FALSE

65+23=14 FALSE

65+23=41 FALSE

65+24=13 FALSE

65+24=31 FALSE

65+31=24 FALSE

65+31=42 FALSE

65+32=14 FALSE

65+32=41 FALSE

65+34=12 FALSE

65+34=21 FALSE

65+41=23 FALSE

65+41=32 FALSE

65+42=13 FALSE

65+42=31 FALSE

65+43=12 FALSE

65+43=21 FALSE

Could we use fractions or dots here? (i.e 16/4, 3.2)

Share this post


Link to post
Share on other sites
  • 0
Guest

Fractions are not allowed. But you can use the digits in some other manner ;)

Share this post


Link to post
Share on other sites
  • 0
Guest

4^3 + 1^2 = 65

If you write it in classic mathematical manner, you don't need to use '^' which is used for programming.

Share this post


Link to post
Share on other sites
  • 0
Guest

4^3 + 1^2 = 65

If you write it in classic mathematical manner, you don't need to use '^' which is used for programming.

One correct ..two more to go :)

Share this post


Link to post
Share on other sites
  • 0
Guest

Most of them involve 1 raised to any power is still 1

1^234+5=6

1^236+4=5

1^243+5=6

1^2+4^3=65

1^256+3=4

1^263+4=5

1^265+3=4

1^324+5=6

1^326+4=5

1^342+5=6

1^362+4=5

1^423+5=6

1^432+5=6

1^4+35=6^2

1^456+2=3

1^465+2=3

1^526+3=4

1^546+2=3

1^562+3=4

1^564+2=3

1^623+4=5

1^625+3=4

1^632+4=5

1^645+2=3

1^652+3=4

1^654+2=3

2^5+4^1=36

2^5+4=36^1

35+1^4=6^2

4^1+2^5=36

4^3+1^2=65

Share this post


Link to post
Share on other sites
  • 0
Guest

Well i'm stumped.

Every possible combination and didn't get anything.

I'm thinking that we need to switch to a different base to make the equation true. Base 6? I'll have to get back to this one.

Share this post


Link to post
Share on other sites
  • 0
Guest

Below given is a blank equation:

____ + ____ = ____

you are given digits 1,2,3,4,5,and 6

Use each only once once without any mathematical operator other than the ones provided in the equation to make this equation true.

Each digit must be used in every solution.

I know of three solutions. Can you provide more?

Isn't raising a number to a power (i.e., exponents) a mathematical operation, too? Yet, you say not other mathematical operations, and even say that fractions aren't allowed. Maybe I'm just too new, but this is confusing.

Share this post


Link to post
Share on other sites
  • 0
Guest

Isn't raising a number to a power (i.e., exponents) a mathematical operation, too? Yet, you say not other mathematical operations, and even say that fractions aren't allowed. Maybe I'm just too new, but this is confusing.

I think it's because you don't need to write an operator, just the exponent. It's a little confusing, but I guess that was his intention. He wrote "operator" and we assumed "operation".

Share this post


Link to post
Share on other sites
  • 0
Guest

You need to change the base.

14+36=52 Base 8

15+26=43 Base 8

16+25=43 Base 8

16+34=52 Base 8

24+35=61 Base 8

25+16=43 Base 8

25+34=61 Base 8

26+15=43 Base 8

34+16=52 Base 8

34+25=61 Base 8

35+24=61 Base 8

36+14=52 Base 8

I tried a bunch of other bases, and base 8 is the only one that works.

Share this post


Link to post
Share on other sites
  • 0
Guest

One correct ..two more to go :)

You told not to use any mathematical operator than + and == so ^ is also a mathematical operastor. Isnt it?

Edited by parik

Share this post


Link to post
Share on other sites
  • 0
Guest

You told not to use any mathematical operator than + and == so ^ is also a mathematical operastor. Isnt it?

you are considering this operator thing too seriously..this is just rearranging the digits in another manner

Share this post


Link to post
Share on other sites

Create an account or sign in to comment

You need to be a member in order to leave a comment

Create an account

Sign up for a new account in our community. It's easy!

Register a new account

Sign in

Already have an account? Sign in here.

Sign In Now

Sign in to follow this  

  • Recently Browsing   0 members

    No registered users viewing this page.

×