Question 365419
The numerator of a fraction is 4 less than the denominator. If 17 is added to each, the value of the fraction is 5/6. Find the original fraction.

let denominatore be d
numerator = d-4
..
Fraction = (d-4)/d
..
{{{((d-4)+17) / (d+17) = 5/6)}}}
..
{{{(d-13)/(d+17)=5/6}}}
6(d-13)=5(d+17)
6d-78=5d+85
6d-5d=85+78
d=163
numerator = 163-4 = 159
fraction = 159/163
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