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:

Answer 1

The answer is 30.

Step-by-step solution:-

Let the 3 numbers be a,b and c
According to question:-
a+b+c=98...............1

It is also given that:-
a/b=2/3 and b/c=5/8
=>a=2b/3 and c=8b/5

Now, substituting these values of a and c in equation 1,we get:-
2b/3+8b/5+b=98
=> 34b+15b=98*15
=> 49b=98*15
=> 49b= 1470
=> b = 1470/49 = 30

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)