Multiple choice

The respective ratio of the present age of Shivam and Rishu is 17 : 13 and after 4 years the ratio of the age of Rishu and Nishu will be 3 : 2, 9 years before Amit was 6 years older than Nishu. Find the present age of Shivam, if the present age of Amit is 22 years?

  1. 36

  2. 51

  3. 34

  4. 38

  5. none of these
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C Correct answer
Explanation

Work backwards from Amit's known age. Present age of Amit = 22. Nine years before: Amit was 13. At that time, Amit was 6 years older than Nishu, so Nishu was 7. Present age of Nishu = 7 + 9 = 16. After 4 years, Rishu:Nishu = 3:2. When Nishu is 20 (16 + 4), Rishu will be 30 (since 20:30 = 2:3). Present Rishu = 26. Given Shivam:Rishu = 17:13 and Rishu = 26 (which is 13 × 2), Shivam = 17 × 2 = 34.

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