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  9. Q3

SSC MTS & Havaldar 2024 · Question 3 of 76

The ratio of the present ages of A and B is 3 : 1. Five years ago, the ratio of their ages was 5 : 1. The age of A (in years) after eight years will be:

  1. A30
  2. B22
  3. C38Correct
  4. D40

Answer: C. 38

Explanation

Let the present age of A and B be 3x and x years according to the question, 3 5 5 x x − − = 5 1 ⇒ 3x – 5 = 5x – 25 ⇒ 2x = 20 ⇒ x = 10 So, age of A after 8 years = 3x +8 = 38 years

Source: SSC MTS 2024 (30-Sep-2024 Shift 1) solved paper with key+explanations, via oswaal360.com · reliable-secondary

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