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The ages of Samir and Saurabh are in the ratio of 8 : 15 respectively . After 9 years the ratio of their ages will be 11 : 18. What is the difference between their ages in years?
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- 20 years
- 21 years
- 22 years
- 24 years
Correct Option: B
Let the present ages of Samir and Saurabh are 8a and 15a years respectively ; .
After 9 years the ages of Samir and Saurabh will be 8a + 9 and 15a + 9.
According to question,
After 9 years the ratio of their ages will be 11 : 18, then
(8a + 9)/ = 11/18
⇒ (8x + 9) x 18 = 11 x (15a + 9)
⇒ 144a + 162 = 165a + 99
⇒ 21a = 63
∴ a = 3
Hence, difference of their ages = 15a - 8a = 7a = 7 x 3 = 21 years
