Question

the denominator of a fraction is gteater than its numerator by 2 . If 4 is added to the numerator and 9 to the denominator ,the new fraction is eqivalent with 1/2find the fraction

Answer 1

so the fraction is x/x+2 as given

when adding 4 to numerator and 9 to denominator

x+4/x+2+9=1/2

x+4/x+11=1/2

on cross multiplying

2x+8=x+11

x=3

the fraction is 3/5