The denominator of a fraction is 3 more than its numerator If the numerator is increased by 7 and th...........

Quant (SSC) Number System

The denominator of a fraction is 3 more than its numerator. If the numerator is increased by 7 and the denominator is decreased by 2, we obtain 2. The sum of numerator and denominator of the fraction is

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Explanation:

Let the numerator be x and the denominator be x + 3
∴ Fraction =x/(x + 3)
According to the question,
(x+7)/(x+3-2)=2
⇒ x + 7 = 2x + 2
⇒ x = 7 – 2 = 5
∴ Numerator = 5
And denominator = 5 + 3 = 8
∴ Sum of numerator and denominator = 8 + 5 = 13