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 find the second number.​

Answer 1

Answer:

30

Step-by-step explanation:

Let the first two numbers be 2x and 3x

Let us take the last two numbers as 5y and 8y

So as 2nd number is common in both places,

3x=5y

X=5/3y

So,

10/3 y + 5y + 8y = 98

10/3 y + 39/3 y = 98

49/3 y = 98

49y = 294

y = 6

2nd number = 5y = 30

Third number = 8y = 48

First number = 10/3 y = 20