A fraction is such that if the numerator is multiplied by 2 and the denominator is reduced by 4 we get $ \dfrac{10}{3} $, but if the numerator is increased by 6 and the denominator is doubled we get $ \dfrac{11}{4} $, what is the fraction?
$ \dfrac{7}{5} $
$ \dfrac{5}{7} $
$ \dfrac{21}{17} $
$ \dfrac{17}{21} $
Explanation:
let fraction =a/b
2a/(b-4)=10/3------> (1)
(a+6)/2b=11/4----->(2)
let check from given option where, a=5, b=7;
check in Equ (1)
2*5/3=10/3
10/3=10/3
check in Equ(2)
5+6/2*7=11/14
11/14=11/14
LHS=RHS