Question

The difference between two positive integers is 3. If the smaller is added to the square of the larger, the sum is 87.

Answer 1

Let x be larger integer so x-3 is the smaller
so x^2+ x-3 = 87
x^2 +x -90=0 and factor
(x-9)(x+10)=0
x=9 or x=-10 but x must be positive
so x=9 and smaller number is 6