Question

the numerator of a rational is less than by three if the numerator becomes three times and the denominator is increased by 20 the new number becomes 1/8 find the original number

Answer 1

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the numerator of a rational number is less than its denominator by 3.if the numerator became 3 times and the denominator is increased by 20,the faction became 1\8,find the original faction 
.
Let d = denominator
then
d-3 = numerator
.
3(d-3)/(d+20) = 1/8
(3d-9)/(d+20) = 1/8
cross multiplying:
8(3d-9) = (d+20)

24d-72 = d+20
23d-72 = 20
23d = 92
d = 4 (denominator)
.
numerator:
d-3 = 4-3 = 1
.
answer: 1/4