Question : The average age of Ram and Rahim is 10 years. The average age of Rahim and Ramesh is 15 years. The average age of Ram and Ramesh is 20 years. What is the age of the eldest of the three?
Option 1: 25 years
Option 2: 10 years
Option 3: 30 years
Option 4: 15 years
Correct Answer: 25 years
Solution :
The average age of Ram and Rahim is 10 years. The average age of Rahim and Ramesh is 15 years. The average age of Ram and Ramesh is 20 years.
Total age of Ram and Rahim = (10 × 2) = 20 years
Total age of Rahim and Ramesh = (15 × 2) = 30 years
Total age of Ram and Ramesh = (20 × 2) = 40 years
Total age of Ram, Rahim and Ramesh = $\frac{20+30+40}{2}$ = 45 years
So, the age of Ram = (45 – 30) = 15 years,
The age of Rahim = (45 – 40) = 5 years,
and the age of Ramesh = (45 – 20) = 25 years
Therefore, the age of the eldest of the three = 25 years
Hence, the correct answer is 25 years.
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