Question 24

The denominator of a rational number exceeds its numerator by 10. If the numerator is increased by 4 and the denominator is reduced by 3, the number obtained is $$\frac{5}{6}$$. The original rational number is 

Solution

let the numerator be x then denominator will be x+10,original fraction is (x)/(x+10)
(x+4)/(x+7)=5/6
6x+24=5x+35
x=11
Required fraction is 11/21


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