Question

10. 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​

Answer 1

given:

sum of three number= 98

to find:

the second number.

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= option c.