Question

The sum of three number 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

Let the three numbers be x, y, z.

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

y/z = 5/8 => 8y= 5z .

8(3/2x)= 5z .

12x = 5z .

z = 12/5x .

x + y + z = 98

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

10x+15x+24x / 10 = 98

49 x /10 = 98

49 x = 980

x = 20 .

Now, y = 3/2(20)=30

z = 12/5* (20) = 48 .

Therefore, 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)