The denominator of a fraction is 4 more than the numerator. On adding a 12 to numerator of a fraction, the fraction becomes 5 times of itself. Find the ratio of numerator and denominator of original fraction.
Solution
Correct Answer: Option A
The denominator of a fraction is 4 more than the numerator. Let the fraction be N/(N+4).
On adding a 12 to numerator of a fraction, the fraction becomes 5 times of itself.
⇒ (N + 12)/(N+4) = 5 × (N/(N+4))
⇒ (N + 12) = 5N
⇒ N = 12/4 = 3
Numerator in original fraction = N = 3
Denominator in original fraction = N + 4 = 7
∴ Ratio of numerator and denominator of original fraction = 3:7
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