Question

One number is 6 more than another. the difference between their squares is 192. what are the numbers?

Answer 1

x-y=6
x²-y²=192
(x+y)(x-y)=192
(x+y)6=192
x+y=32.
x=6+y.
6+y+y=32
2y=26.
y=13.
x-13=6
x=19.
Therefore the anwer is: x=19, y= 13.