Multiple choice

The present age of A, B and C are in the ratio (8 : 14 : 22) respectively. The present age of B, C and D are in the ratio (21 : 33 : 44) respectively. Find the ratio of the present age of A, B, C, D ?

  1. $12 : 21 : 33 : 44$
  2. $24 : 21 : 33 : 44$
  3. $44 : 42 : 33 : 44$
  4. $12 : 21 : 66 : 44$
  5. $24 : 21 : 33 : 88$
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A Correct answer
Explanation

A:B:C = 8:14:22 and B:C:D = 21:33:44. Make B equal: multiply first ratio by 3 (24:42:66) and second by 2 (42:66:88). B=42, C=66 common. Thus A:B:C:D = 24:42:66:88 = 12:21:33:44.

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