SOLUTION: The numerator of a fraction is 3 less than the denominator. If 5 is added to both the numerator and denominator, the value resulting fraction is 3/4. Find the original fraction

Question 677041: The numerator of a fraction is 3 less than the denominator. If 5 is added to both the numerator and denominator, the value resulting fraction is 3/4. Find the original fraction
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let the fraction =
given:
(1)
(2)
-----------------------------
Substitute (1) into (2)
(2)
(2)
Multiply both sides by
(2)
(2)
(2)
and, since
(1)
(1)
(1)
The fraction is
check answer:
(2)
(2)
(2)
(2)
OK

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