Multiple choice

4 years ago ratio of age of Sudhir and his son Ramesh was 8 : 1. 4 year hence ratio of age of Sudhir and him wife Sujata will be 10:9. If Sujata is 24 years elder to her son Ramesh. Find the present age of Sudhir.

  1. 32 years

  2. 34 years

  3. 36 years

  4. 40 years

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let present ages: Sudhir = S, Ramesh = R, Sujata = J. 4 years ago: (S-4):(R-4) = 8:1, so S-4 = 8(R-4), S = 8R - 28. 4 years hence: (S+4):(J+4) = 10:9, so 9(S+4) = 10(J+4). Sujata is 24 years elder than Ramesh: J = R + 24. Substitute J: 9S + 36 = 10R + 280. Substitute S from first equation: 9(8R-28) + 36 = 10R + 280, so 72R - 252 + 36 = 10R + 280, 62R = 496, R = 8. Then S = 8(8) - 28 = 36.

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