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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


A) 5

B) 13

C) 17

D) 19

Correct Answer:
B) 13

Description for Correct answer:
Let the numberator be n and the denominator be n + 3

According to question

\( \Large \frac{n+7}{(n+3)-2}=\frac{2}{1} \)

\( \Large \frac{n+7}{n+1}=\frac{2}{1} \)

\( \Large 2n+2=n+7 \)

\( \Large n=5 \)

Fraction \( \Large =\frac{5}{5+3}=\frac{5}{8} \)

Sum\( \Large =5+8=13 \)

Part of solved Number series questions and answers : >> Aptitude >> Number series




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