Multiple choice

There are three brothers. The sum of ages of two of them at a time are 4 years, 6 years and 8 years. Find the difference between the age of the eldest and the youngest brother ? तीन भाई हैं। उनमें से किन्ही दो की आयु का योग एक ही समय पर 4 वर्ष, 6 वर्ष है तथा 8 वर्ष है। सबसे बड़े तथा सबसे छोटे भाई की आयु में अंतर ज्ञात कीजिए।

  1. 2

  2. 3

  3. 4

  4. 5
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C Correct answer
Explanation

Let the three ages be a, b, c with a ≤ b ≤ c. The three pair sums are a+b=4, a+c=6, b+c=8. From the first two equations: c-b=2. From the last two: b-a=2. Using a+b=4, we get b=3, a=1, and c=5. The difference between eldest and youngest is 5-1=4 years.

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