Question

The denominator of a fraction is 3 more than the numerator is 3 and 7 are added to the numerator and denominator respectively, the fraction becomes 1/2.Find the fraction.(ANSWER WITH DETAILED STEPS).

Answer 1

Let the numerator be x.

Then the denominator will be 3 more than the numerator = x + 3.

Therefore the original fraction = x/x + 3.  ----- (1)

Given that 7 are added to the numerator and the denominator, the fraction becomes 1/2.

x + 3/(x + 3) + 7 = 1/2

x + 3/x + 10 = 1/2

2(x + 3) = x + 10

2x + 6 = x + 10

2x = x + 4

x = 4.


Therefore the original fraction = 4/7.


Hope this helps!