Question

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

Answer 1

let the number be x.
then the number is (x + 6)
the difference between their squares is 192
(x + 6)² - x² = 192

expanding we get;

x² + 12x + 36 - x² = 192
12x + 36 = 192
12x = 192 - 36
12x = 156
x = 13

the numbers are 13 and 19.

hope this helps, God bless!