Multiple choice

Age of C at time of birth of B is equal to the present age of B. Ratio between age of A and C is (2 : 3). If the ratio of A and B after 6 years is (5 : 4), then find the present age of C

  1. 18

  2. 24

  3. 30

  4. 36

  5. Cannot be determined
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let B's present age be b. When B was born, C's age was b (given), so C's present age is 2b. Since A:C = 2:3, A = (2/3)*2b = 4b/3. Given A+6:B+6 = 5:4, we have (4b/3 + 6)/(b + 6) = 5/4. Solving: 4(4b/3 + 6) = 5(b + 6) gives 16b/3 + 24 = 5b + 30. Rearranging: (16b - 15b)/3 = 6, so b = 18. Therefore C = 2b = 36 years.

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