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`        The sum of three numbers is 98. The ratio of the first to the second is 2/3, and the ratio of the second to the third is 5/8. The second number is:(a) 15, (b) 20, (c) 30, (d) 32, (e) 33 `
2 years ago

```							Let the three numbers be x, y and z.Sum of the numbers is 98.x + y + z = 98………………(i)The ratio of the first to the second is 2/3.x/y = 2/3.x = 2/3 × y.x = 2y/3.The ratio of the second to the third is 5/8.y/z = 5/8.z/y = 8/5.z = 8/5 × y.z = 8y/5.Put the value of x = 2y/3 and z = 8y/5 in (i).2y/3 + y + 8y/5 = 9849y/15 = 98.49y = 98 × 15.49y = 1470.y = 1470/49.y = 30 .Therefore, the second number is 30.Answer: (c)
```
2 years ago
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