Question

The product of two positive integers plus their sum is 95. The integers are relatively prime, and each is less than 20. What is the sum of the two integers?

Answer 1

xy + x+y = 95
y(x+1) = 95-x
y = (95-x)/(x+1)

form ordered pairs with positive integer values of x and y

1 47 , y is too big
2 31 too big
3 23
4 * --- * = not an integer
5 15 yeahhhh
6 *
7 11 yeahhh
8 *
9 *

So far I found 2 such pairs
Take their sum in each case.

check for 7,11
product is 77 , sum = 18
What is 77 + 18?

Can you find some more ?