The total of the ages of A, G and M is 93 years. Ten years ago, the ratio of their ages was 2 : 3 : 4. What is the present age of M?

Question: The total of the ages of A, G and M is 93 years. Ten years ago, the ratio of their ages was 2 : 3 : 4. What is the present age of M?

Solution:
Ten years ago, ages were in the ratio 2 : 3 : 4.
Let the ages ten years ago are,
2x, 3x and 4x

∴ Present ages:
(2x + 10), (3x + 10), (4x + 10)

According to the question,
(2x + 10) + (3x + 10) + (4x + 10) = 93
⇒ 9x + 30 = 93
⇒ 9x = 63
∴ x = 7

∴ Present age of M = 4x + 10
= 28 + 10
= 38