SOLUTION: The larger of two positive integers is five more than twice the smaller integer. The product of the integers is 52. What are the two integers?

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Question 196820: The larger of two positive integers is five more than twice the smaller integer. The product of the integers is 52. What are the two integers?
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
let a be the larger of two intergers, and b be the smaller
:
a=2b+5......eq 1
a*b=52......eq 2
:
take a's value from eq 1 and plug it into eq 2
:
(2b+5)b=52
:
2b%5E2%2B5b-52=0
:
%282b%2B13%29%28b-4%29=0
:
2b+13=0 and b-4=0
:
b=-13/2 and b=4----->-13/2 is neither an integer or positive
:
b=4---->a=52/4=13