Question

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. What is the second number?

Answer 1

Answer:

Step-by-step explanation:

x + y + z = 98

x / y = 2 / 3 ---> x = 2y / 3

y / z = 5 / 8 ---> z = 8y / 5

2y / 3 + y + 8y /5 = 98

10y / 15 + 15y / 15 + 24y / 15 = 98

49y /15 = 98

y / 15 = 2

y = 30.

the second number is 30.

Answer 2

Answer:

Step-by-step explanation:

Solution:

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)