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 integers?

Algebra ->  Problems-with-consecutive-odd-even-integers -> 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 integers?      Log On


   

Question 239981: the larger of two positive integers is five more than twice the smaller integer. The product of the integers is 52. What are the integers?
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
y=2x+5
xy=52
x(2x+5)=52
2x^2+5x-52=0
(2x+13)(x-4)=0
x-4=0
x=4 ans.
y=2*4+5
y=8+5
y=13 ans.
Proof:
4*13=52
52=52