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?

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- Sep 9th 2008, 10:43 AMamywright00The sum of three numbers
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?

- Sep 9th 2008, 11:02 AMSoroban
Hello, Amy!

Quote:

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: .

- Sep 9th 2008, 01:34 PMamywright00
I do not understand how they all became b