The product of two positive numbers is 120. One number is 7 more than the other. Determine the two numbers

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09-12-2016
Mathematics

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The product of two positive numbers is 120. One number is 7 more than the other. Determine the two numbers

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Peytiii2829 Peytiii2829 · Answer 1 · 2016-12-09T15:12:29+01:00

Peytiii2829 Peytiii2829

09-12-2016

xy= 120
x= 7+y

(7+y)(y) = 120
y^2 + 7y - 120 = 0
(y + 15) (y - 8) = 0

Since we are finding two positive numbers,
If y= 8 then x= 15

The two numbers are 8 and 15

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