Question:
The sum of three numbers is 98. If the ratio of the first to second is 2 :3 and that of the second to the third is 5 : 8, then the second number is:
[A].20
30
48
58
The sum of three numbers is 98. If the ratio of the first to second is 2 :3 and that of the second to the third is 5 : 8, then the second number is:
[A].
[B].
[C].
[D].
Answer: Option B
Explanation:
Let the three parts be A, B, C. Then,
| A : B = 2 : 3 and B : C = 5 : 8 = | 5 x | 3 | : | 8 x | 3 | = 3 : | 24 | ||||
| 5 | 5 | 5 |
| A : B : C = 2 : 3 : | 24 | = 10 : 15 : 24 |
| 5 |
| B = | 98 x | 15 | = 30. | ||
| 49 |