SOLUTION: The value of fraction is 4/7 and its denominator is 15 greater its numerator. Find the fraction.

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Question 463895: The value of fraction is 4/7 and its denominator is 15 greater its numerator. Find the fraction.
Answer by nerdybill(7384) About Me  (Show Source):
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The value of fraction is 4/7 and its denominator is 15 greater its numerator. Find the fraction.
.
Let n = numerator
then
n+15 = denominator
.
n/(n+15) = 4/7
cross multiplying:
7n = 4(n+15)
7n = 4n+60
3n = 60
n = 20
.
fraction is then:
n/(n+15) = 20/(20+15) = 20/35