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).
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Correct answer: A
Explanation
The correct answer is option 1 i.e. 69.
Let's assume the age of Ram = x
Age of Ravi = y
According to the question,
⇒ x - y = 7
x = y + 7
Age of Mayadevi = 3x
Age of Soham = y/4
⇒ 3x - y/4 = 65....................1
Put the value of x in Equation 1
3(y + 7) - y/4 = 65
⇒ 3y + 21 - y/4 = 65
⇒ 12y + 84 - y = 260
⇒ y = 16
and x = y + 7 = 16 + 7 = 23
So, age of Maya devi = 3x = 3 × 23 = 69 years