A fraction becomes 1/3 when 1 is subtracted from both the

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A fraction becomes 1/3 when 1 is subtracted from both the numerator and the denominator. The same fraction becomes 1/2 when 1 is added to both the numerator and the denominator. The sum of numerator and denominator of the fraction is

1. 10
2. 18
3. 7
4. 16

Correct Option: D

Let the unknown number be x.
∴ 71 x + 47 = 98 × 7
⇒ 71x = 686 – 47 = 639

⇒ x =	639	= 9 = 3 × 3
	71