Hello, Amy!

The sum of three numbers is 98.

The first number is 2/3 of the second, and the second is 5/8 of the third.

What is the second number?

Let the three numbers be:

"Their sum is 98": . .[1]

"The first is 2/3 of the second": . .[2]

"The second is 5/8 of the third": . .[3]

Substitute [2] and [3] into [1]: .

Multiply by 15: .

. . Therefore: .