Question
The ratio of the ages of Alpha and Beta is 2 : 5. If the sum of their ages is 294, find the difference between their ages.
This question was previously asked in
RPF Constable 2018 Question Paper PDF (16-Feb-2019) (Shift 2)
The correct answer is
126
126 is correct.
When two quantities are in the ratio 2 : 5, they can be written as 2 and 5 parts of a common unit.
Let the ages be \(2k\) and \(5k\). Their sum gives \(7k=294\), so \(k=42\).
Difference of ages \(=5k-2k=3k=3\times 42=126\).
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