7 replies to this topic

[rookie1ja]

1996 - Back to the Number Puzzles
Using the numerals 1, 9, 9 and 6, mathematical symbols +, -, x, :, root and brackets create the following numbers:
29, 32, 35, 38, 70, 73, 76, 77, 100 and 1000.
All the numerals must be used in the given order (each just once) and without turning upside down.

This old topic is locked since it was answered many times. You can check solution in the Spoiler below.
Pls visit New Puzzles section to see always fresh brain teasers.

Spoiler for Solution

1996 - solution

I used [brackets] as the symbol for root.

[onyx_sisco]

I get all of them except the answer 29... please explain. It would end up being -1+3 + (3^6) which is 2 + 729 = 731 The only way it would work if is 2 is added to 27. To get 27 the multiples are 3x3x3 and I can't figure that out with 9 and 6.

[mdsl]

I get all of them except the answer 29... please explain. It would end up being -1+3 + (3^6) which is 2 + 729 = 731 The only way it would work if is 2 is added to 27. To get 27 the multiples are 3x3x3 and I can't figure that out with 9 and 6.

You forgot a root:

-1 + root(9) + root[root(9)^6]
=-1 + 3 + root[3^6]
=-1 + 3 + 3^3
=-1 + 3 + 27
=29

[Bob Coolio]

I get it. That is so awsome

[ash013]

[quote name='rookie1ja' date='Mar 30 2007, 08:09 PM' post='106']
1996 - Back to the Number Puzzles
Using the numerals 1, 9, 9 and 6, mathematical symbols +, -, x, :, root and brackets create the following numbers:
29, 32, 35, 38, 70, 73, 76, 77, 100 and 1000.
All the numerals must be used in the given order (each just once) and without turning upside down.

For 32 there is another way to do it:
-1+[9]x9+6=32
For 38:
19/[9]/6=19x6/[9]=38,
actualy is the same,just 1 step before the shown equation.

[brian.w.hoffman]

1996 - Back to the Number Puzzles
Using the numerals 1, 9, 9 and 6, mathematical symbols +, -, x, :, root and brackets create the following numbers:
29, 32, 35, 38, 70, 73, 76, 77, 100 and 1000.
All the numerals must be used in the given order (each just once) and without turning upside down.

Spoiler for Solution

1996 - solution

I used [brackets] as the symbol for root.

another solution for 76:
91 - (9+6) = 76
91 - 15

and for 35:

[[9]6] + 9 - 1 = 35
[3^6] + 9 - 1
3^3 + 9 - 1
27 + 9 - 1 = 35

[tickytock]

another solution for 76:
91 - (9+6) = 76
91 - 15

and for 35:

[[9]6] + 9 - 1 = 35
[3^6] + 9 - 1
3^3 + 9 - 1
27 + 9 - 1 = 35

numbers need to be in 1996 order....

[vij]

numbers need to be in 1996 order....