Question

13.) 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,find the three numbers ​

Answer 1

Answer:

the numbers are:- 20,30,48

Step-by-step explanation:

(2:3) × 5 = 10:15

(5:8) × 3 = 15:24

10x + 15x + 24 x = 98

49x = 98

x = 98 ÷ 49 = 2

therefore the numbers are :-

10×2=20

15×2=30

24×2=48

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Answer 2

Answer:

Step-by-step explanation:

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.