The numerator of a fraction is 10 less than the denominator. If 2 is subtracted from the numerator and from the denominator, the value of the resulting fraction is 1/3. Find the original fraction.

Answer 1

n=d-10

(n-2)/(d-2) =1/3

3n-6 =d-2

3(d-10) = d+4

3d-30 = d +4

2d = 34

d = 17

n=7

7/17 is the original fraction

new fraction is 5/15 = 1/3