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If 1 is added to the numerator of a certain fraction, it becomes ½. Instead, if 5 are

If 1 is added to the numerator of a certain fraction, it becomes ½. Instead, if 5 are subtracted from its denominator, it becomes 1. Find the fractions. Ans. 3/8
 
sumedh P. Asked Updated Student doubt Save WhatsApp Report
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Answer: The fraction is 3/8.

Let the fraction be \(\dfrac{x}{y}\).

\[\frac{x + 1}{y} = \frac12 \Rightarrow y = 2x + 2 \quad\text{(1)}\]

\[\frac{x}{y - 5} = 1 \Rightarrow x = y - 5 \quad\text{(2)}\]

Substitute (1) in (2): \(x = 2x + 2 - 5 \Rightarrow x = 3\).

Then \(y = 8\). Fraction = 3/8.

Check: \(\dfrac{4}{8} = \dfrac12\) and \(\dfrac{3}{3} = 1\).

Doubtly AI · 23 Oct 2026 AI-verified · Oct 2026 Report
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