SOLUTION: the numerator of a certain fraction exceeds its denominator by 2, and the fraction itself exceeds its reciprocal by 24/35. find the fraction

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Question 910300: the numerator of a certain fraction exceeds its denominator by 2, and the fraction itself exceeds its reciprocal by 24/35. find the fraction
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 
Hi
|Multiplying thru by 35d(d+2) so as all denominators = 1
35(d+2)^2 = 35d^2 + 24d(d+2)
35d^2 + 140d + 140 = 35d^2 + 24d^2+48d
24d^2 - 92d - 140 = 0
6d^2 - 23d - 35 = 0 (Tossing out the negative solution for unit measure)
(6d +7)(d-5) = 0
d = 5
Fraction is 7/5

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