SOLUTION: One positive integer is twenty-five less than five times another integer. Their product is 70. Find the integers.

SOLUTION: One positive integer is twenty-five less than five times another integer. Their product is 70. Find the integers.

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Question 1007877: One positive integer is twenty-five less than five times another integer. Their product is 70. Find the integers.

Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
Call them x and y. We have
x = 5y - 25
and
xy = 70
Substitute and get
(5y - 25)y = 70
5y^2 - 25y - 70 = 0
y^2 - 5y - 14 = 0
(y - 7)(y + 2) = 0
y = 7 and y = -2
Since you want positive,
y = 7 so that
x = 10
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