The difference of two positive integers was multiplied by their sum. If possible, find two numbers such that the result is equal to 212.

Answer 1

Result from addition or multiplication?

Answer 2

let x be the larger and y be the smaller
(x-y)(x+y) = 212
212 = 2*106
= 4*53
there are no other factors, since 53 is prime

212 = 2* 106 , so the two numbers are 2 apart and have a sum of 106
dividing 106/2 = 53
so how about 54 and 52
x = 54 , y = 52 and
(x-y)(x+y)
= 2(106) = 212

yup that works.