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RRB Junior Engineer / DMS / CMA 2019 · Question 106 of 3719

The ratio of ages of A, B and C is 2 : 4 : 5 and sum of their ages is 77. Find the ratio of A's age to B's age ten years hence.

Mathematics - Ages

  1. Aa. 10 : 17
  2. Bb. 13 : 18
  3. Cc. 12 : 19Correct
  4. Dd. 11 : 14

Answer: C. c. 12 : 19

Explanation

Let the ratio of ages of A, B, and C is 2x, 4x, and 5x respectively. ATQ, 2x + 4x + 5x = 77 11x = 77 x = 77/11 x=7 10 years hence age of A = 2 x 7 + 10 = 14 + 10 = 24 10 years hence age of B = 4 × 7 + 10 = 28 + 10 = 38 The ratio of ages of A to B 10 years = 24:38 = 12:19

Source: RRB JE 2019 CBT-1 (24-May-2019 Shift-1) — ixambee compilation with answer key and solutions · reliable-secondary

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