The ratio of present age A and B is 13 : 10 after 2.5 years their ratio will be 32 : 25 then find the present age of A.

Question: The ratio of present age A and B is 13 : 10 after 2.5 years their ratio will be 32 : 25 then find the present age of A.

Solution:
Let, present age of A = 13x and present age of B = 10x

According to question:
(13x + 2.5)/(10x + 2.5) = 32/25
⇒ (13x + 2.5) × 25 = (10x + 2.5) × 32
⇒ 325x + 62.5 = 320x + 80
⇒ 5x = 17.5
⇒ x = 3.5

∴ Present oge of A = 13 × 3.5 = 45.5