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).

Options
a) 69
b) 45
c) 85
d) 36

Solution

As per question
Ram’s age = A
Ravi’s age = B
A = B = 7 _________ (1)
Ram’s mother Mayadevi age = 3A
Ravi’s brother Soham age = B/4
3A – B/4 = 65
12A – B = 260 _________ (2)
Equation (2) – (1)
(12A – B) – (A – B) = 260 – 7
12A – B – A + B = 253
11A = 253
A = 23
Ram’s mother Mayadevi age = 3A = 3 x 23 = 69

Answer : 69