I need help with this question please.

Question

An integer is 7 more than 2 times another. If the product of the two integers is 60, find the integers. 

Answer 1

n = one of the integers

m = the other integer

 

n = 2m + 7

nm = 60

 

Solve for n and m.

 

m = 60/n

n = 2(60/n) + 7

n² = 120 + 7n

n² - 7n - 120 = 0

 

n = 15 or - 8

 

If n = 15, then m = 60/15 = 4

If n = -8, then m = 60/(-8) = -7.5, which is not an integer, so discard n = -8.

 

Final answer:  n = 15, m = 4