Asked by Zac

The denominator of a fraction is four more than twice the numerator. If both numerator and denominator are increased by six, the simplified result is 7/13. Find the original fraction

Answers

Answered by Steve
original fraction: n/(2n+4)

modified fraction:
(n+6)/(2n+4+6) = 7/13
13(n+6) = 7(2n+10)
13n+78 = 14n+70
-n = -8
n=8

So, the original fraction was 8/20
and the new value is 14/26 = 7/13
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