Question

The sum of three numbers is 98. If the ratio of the first to the second is 2:3 and that of
the second to the third is 5:8, then the second number is

Answer 1

Answer:

a:b= 2:3

b:c=5:8

a+b+c=98

3a=2b

8b=5c

12a=8b=5c

a+3a/2+12a/5=98

10a+15a+24a=980

49a=980

a=20

b=60/2=30

c=48

Answer 2

Answer:

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)