Math riddle, I need help!!
posted by john on .
Person A has one amount of money in his pocket, Person B has one amount of money in his pocket. If person A gives X amount to person B, person B will end up with 3 times more money than person A. However if person B gives the same amount X to person A, Person A will end up with double the amount of person B.
How much does each of the persons have in his pocket and what amount are they giving to each other?

(Ax)3 =B+x
3A  3 x = B + x
4 x = 3AB
(B  x)2 = A + x
2 B  2x = A + x
3x = 2 B  A
12 x = 9 A  3 B
12 x = 8 B  4 A

0 = 13 A  11 B
11 B = 13 A
a solution is
A = 11 and B = 13
then remember
3x = 2 B  A
3 x = 26  11 = 15
x = 5
multiples of those will also work though
like
A =22, B =26, x = 10