The ratio of present ages of Albert and Salim is 5 : 9. Five years hence ratio of their ages will be 3 : 5. Find their present ages.

Given: Ratio of present age of Albert and Salim=5:9

So, let present age of Albert = 5x years

∴ Present age of Salim = 9x years

Five years later, age of Albert = (5x + 5) years

Five years later, age of Salim = (9x + 5) years

Given that this ratio of their ages is 3:5.

∴ According to the given problem:

⇒ 25x + 25 = 27x + 15

⇒ 27x – 25x = 25 – 15

⇒ 2x = 10

⇒ x = 5

∴ Present age of Albert = 5x = 5 × 5 = 25 years

Present age of Salim = 9x = 9 × 5 = 45 years