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The sum of three numbers is 68. If the ratio of the first to the second be 2 : 3 and that of the second to the third be 5 : 3, then the second number is
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- 30
- 58
- 20
- 48
Correct Option: A
Let the numbers be a, b and
c. Then
a : b = 2 : 3
b : c = 5 : 3
∴ a : b : c = 2×5 : 3×5 : 3×3
= 10 : 15 : 9
Let the numbers now be 10x, 15x and 9x
∴ 10 x + 15x + 9x = 68
| ⇒ 34x = 68 ⇒ x = | = 2 | |
| 34 |
∴ Second number = 15 x
= 15 × 2 = 30
