The ratio of present ages of A and B is 5 : 3. 9 years ago, their ages were in the ratio 23 : 12. What will be the ratio of their ages 15 years from now?

35 : 24

According to the question,

⇒ \(\frac{5a - 9}{3a - 9}\) = \(\frac{23}{12}\)

⇒ 12 (5a - 9) = 23 (3a - 9)

⇒ 60a - 108 = 69a - 207

⇒ 69a - 60a = 207 - 108

⇒ 9a = 99

⇒ a = 11,

⇒ 15 yrs after, age of A = 5 x 11 + 15 = 55 + 15 = 70 yrs

⇒ 15 yrs after, age of B = 3 x 11 + 15 = 33 + 15 = 48 yrs,

Therefore, the required ratio is 70 : 48 = 35 : 24