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Salsk061 [2.6K]
3 years ago
6

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. Th

e second number is:
(a) 15, (b) 20, (c) 30, (d) 32, (e) 33
Mathematics
1 answer:
bonufazy [111]3 years ago
5 0

Answer:

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 = 98

49y/15 = 98.

49y = 98 × 15.

49y = 1470.

y = 1470/49.

y = 30 .

Therefore, the second number is 30.

Answer: (c)

Step-by-step explanation:

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1. Because the line the angles x + 96 and 100 + x are on is straight, it's a straight angle that results in 180°.

2. Given the above information, that means x + 96 + 100 + x = 180.

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