SOLUTION: If 1 is subtracted from the numerator and denominator of a fraction, the value obtained is 3/4. If 1 is added to its numerator and denominator, the resulting value is 4/5. Find the

Algebra ->  Linear-equations -> SOLUTION: If 1 is subtracted from the numerator and denominator of a fraction, the value obtained is 3/4. If 1 is added to its numerator and denominator, the resulting value is 4/5. Find the      Log On


   

Question 1130488: If 1 is subtracted from the numerator and denominator of a fraction, the value obtained is 3/4. If 1 is added to its numerator and denominator, the resulting value is 4/5. Find the fraction

Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
n%2Fd, the fraction

system%28%28n-1%29%2F%28d-1%29=3%2F4%2C%28n%2B1%29%2F%28d%2B1%29=4%2F5%29
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system%283d-4n=-1%2C4d-5n=1%29
Use Elimination Method for convenience.

n%2Fd=highlight%287%2F9%29