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?

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 261309: 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 Greenfinch(383) (Show Source): You can put this solution on YOUR website!
If the small integer is X, the larger is 2X + 5
So X(2X + 5) = 52
Or 2x^2 + 5X - 52 = 0
(2X + 13)(X - 4)=0
So X = -6.5 or 4
6.5 is negative and not an integer, so can be disregarded
So X = 4, larger number is 13

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