SOLUTION: The sum of three numbers is 84 The second number is 2 times the first. The third number is 16 less than the second. What is the second number?

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Question 1104263: The sum of three numbers is 84
The second number is 2 times the first.
The third number is 16 less than the second.
What is the second number?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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The sum of three numbers is 84
a + b+ c = 84
The second number is 2 times the first.
b = 2a
or
a = 1%2F2b
The third number is 16 less than the second.
c = b - 16
What is the second number?
Replace a and c in the 1st equation
1%2F2b + b + (b-16) = 84
21%2F2b = 84 + 16
b = 100/2.5
b = 40 then
a = 20
c = 40-16
c = 24
:
Check: 20 + 40 + 24 = 84