Multiple choice

The ratio of ages of A and B is 2 : 5 and the ratio of ages of B and C is 3 : 4. What is the ratio of ages of A, B and C?

  1. 6 : 15 : 20

  2. 8 : 5 : 3

  3. 6 : 5 : 4

  4. 2 : 15 : 4
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A Correct answer
Explanation

A:B = 2:5, B:C = 3:4. To combine, make B the same in both ratios. Multiply A:B by 3 and B:C by 5: A:B = 6:15, B:C = 15:20. Thus A:B:C = 6:15:20.

AI explanation

To find the combined ratio, equalize the common term B by multiplying the first ratio (2 : 5) by 3 and the second ratio (3 : 4) by 5. This makes the ratio of A to B equal to 6 : 15 and the ratio of B to C equal to 15 : 20. Since B is now 15 in both ratios, the combined ratio of the ages of A, B, and C is 6 : 15 : 20.

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