[andromeda]

A, B and X are digits (0... 9) forming numbers, so you have to guess the first digit of the number XAB!

X=?

Have fun!

Edited September 19, 2008 by andromeda

[Guest]

x= 2, just divide by AB to get 1=x-1

nevermind, i see how the puzzle works

Edited September 19, 2008 by shoeshine

[Guest]

X = A^2, if B=0

Edited September 19, 2008 by shoeshine

[Guest]

X = 4

20 x 20 = 420 - 20

Kudos to MaestroOD.

[Guest]

A, B and X are digits (0... 9) forming numbers, so you have to guess the first digit of the number XAB!

X=?

Have fun!

A=2

B=0

X=4

20 X 20 = 420 - 20

I'm not sure if I did this right..

Edit: Beckie beat me to it.

Edited September 19, 2008 by Jane

[Guest]

Another answer may be:

30x30=930-30 or X=9

[Guest]

x can be 1,4 or 9

10*10 = 110 - 10

20*20 = 420 - 20

30*30 = 930 - 30

[Guest]

for A=1...3 and B=0, X=A^2. Should X be able to carry two digits then for A=1...9 and B=0, X=A^2

Are there any other solutions?

[Guest]

Maybe I am wrong, but I assumed that A, B, and X were unique (no two were equal), which means that X=1 would not be a valid answer. However, since that condition wasn't stated, I can't say it is wrong.

[Guest]

for A=1...3 and B=0, X=A^2. Should X be able to carry two digits then for A=1...9 and B=0, X=A^2

Are there any other solutions?

No other solutions other than X= 1,4 and 9

since AB * AB = XAB - AB

we can write AB as 10A + B

and XAB as 100X + 10A + B

so (10A+B)² = 100X+10+B - (10A+B)

or 100A² + B² + 20AB = 100X

or X = A² + B²/100 + AB/5

since X is a number less than 10,

(B2 + 20AB) = 100n for integer values of n

the above equation is statisified only for n=0 and that means B=0

so X= A²

and since X<10 X can take values of 1, 4 and 9

[andromeda]

x can be 1,4 or 9

10*10 = 110 - 10

20*20 = 420 - 20

30*30 = 930 - 30

Actually

I think that x could be number 1, but since we have XAB and not XXB, you know what I mean. So only two solutions!

20*20 = 420 - 20

30*30 = 930 - 30

Nice job!

Edited September 19, 2008 by andromeda

[andromeda]

X = 4

20 x 20 = 420 - 20

Kudos to MaestroOD.

You bad girl! Hm... the next one will be much harder! We'll see how MaestroOD copes with that one

There are

two solutions for this one BTW!

Edited September 20, 2008 by andromeda

[Guest]

For A, B and X are digits (0... 9)

AB X AB = XAB - AB

1) A = 0, B = 1, X=0,1,2,3,4,...,9 infact X can be anything

2) A = 1, B = 2, X = 3

3) A = 2, B = 3, X = 7

4) A = 1, B = 3, X = 4

5) A = 1, B = 4, X = 5

6) A = 1, B = 5, X = 6

7) A = 1, B = 6, X = 7

8) A = 1, B = 7, X = 8

9) A = 1, B = 8, X = 9