Question

if the denominator of a fraction added to numerator and numerator subtracted from denominator the fraction becomes 11/3 if the denominator exceeds the numerator by three . find the fraction

Answer 1

Answer:

let the numerator be x and denominator is x+3

as per the given condition

therefore the fraction if x/x+3

again denominator is added to numerator and numerator subtracted from denominator

fraction becomes (x + x + 3)/(x +3 - x) = 11/3

=> (2x + 3)/3 = 11/3

=> 33 = 3 (2x + 3)

=> 33 = 6x + 9

=> 33-9 = 6x

=> 24 = 6x

therefore x = 24/6 = 4

fraction is going to be x/x+3

substituting x = 4

we get 4/4+3 = 4/7

answer is 4/7