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).

Question

Accepted Answer

Let Ram's age be R and Ravi's age be V. Their ages differ by 7 years, so:

(1) R - V = 7 or V - R = 7

Let us assume R > V, so R - V = 7.

Mayadevi's age = 3R
Ravi's age = V
Soham's age = S
Ravi is four times as old as Soham:

(2) V = 4S

Mayadevi and Soham differ by 65 years:

(3) 3R - S = 65

Now, let's solve:
From (1): R - V = 7 → V = R - 7
From (2): V = 4S → R - 7 = 4S → R = 4S + 7
From (3): 3R - S = 65

Substitute R from above:
3R - S = 65
3(4S + 7) - S = 65
12S + 21 - S = 65
11S + 21 = 65
11S = 44
S = 4

Now, R = 4S + 7 = 4*4 + 7 = 16 + 7 = 23
Mayadevi's age = 3R = 3*23 = 69

Therefore, the correct answer is 69.

Answer

Answer

Answer