The ratio of the present ages of A and B is 8 : 15. Eight years ago, the ratio of their ages was 6 : 13. What will be the ratio of ages of A and B after 8 years from now?
Show answer & explanation
Correct answer: D
Explanation
Correct Answer is option 4 i.e. 10 : 17
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Understanding |
Application |
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Given: Ratio of the present ages of A and B is 8: 15 Suppose present ages of A and B are 8x and 15x Eight years ago, the ratio of their ages was 6 : 13 |
Eight years ago: (8x – 8)/(15x – 8) = 6/13 ⇒ 104x – 104 = 90x – 48 ⇒ 14x = 56 ⇒ x = 4 Then age of A = 32 and that of B = 60 Ratio of their age after 8 years = (32 + 8)/(60 + 8) = 40/68 = 10 : 17 |