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The ages of two friends, Ram and Ravi, differ by 7 years. Ram’s mother Mayadevi is three times as old as Ram, and Ravi is four times as old as his brother Soham. The ages of Mayadevi and Soham differ by 65 years. Find the age of Mayadevi (in years).

1. 69
2. 36
3. 85
4. 45

Correct answer: 69

Solution

Let Ram’s age be x, so Ravi’s age is x+7. Mayadevi’s age is 3x, and Ravi = 4Soham, so Soham = (x+7)/4. Given Mayadevi and Soham differ by 65, we get 3x - (x+7)/4 = 65, which gives x = 23. Therefore Mayadevi’s age is 3x = 69.

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