Question

The denominator of a fraction is greater than its numerator by 12. If numerator is decreased by 2 and denominator is increased by 7, the new fraction is equivalent with 1/2 .Find the fraction​

Answer 1

Answer:

let the numerator be x

therefore denominator will be (x+12)

therefore fraction is x/(x+12)

by the given condition

x-2/(x+12)+7 =1/2

x-2/x+19 = 1/2

2(x-2) = x+19

2x-4 = x+19

2x-x = 19+4

x = 23

therefore x+12. = 23+12 = 35

therefore numerator = 23

denominator = 35

therefore fraction = 23/35