Question
The present ages of two persons, X and Y, are in the ratio 4 : 5. Five years from now, the difference between X's age and Y's age will be 3 years. Find the sum of their present ages (in years).
This question was previously asked in
RRB NTPC 2025 Under Graduate CBT 1 Question Paper PDF (20-Jun-2026) (Shift 3)
The correct answer is
27
Let the present ages be 4k and 5k. Five years later, the ages are (4k+5) and (5k+5), and their difference stays the same as now.
\(5k-4k=k\), and this difference is given as 3, so \(k=3\).
Sum of present ages: \(4k+5k=9k=9\times3=27\).
Hence, the sum of their present ages is 27 years.
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