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?
Answer & explanation
Correct answer: option 1
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