SOLUTION: Three consecutive odd counting numbers have the property that the sum of the largest and twice the smallest is 112. What is the middle number?

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Question 359018: Three consecutive odd counting numbers have the property that the sum of the largest and twice the smallest is 112. What is the middle number?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi,
Note: consecutive odd number differ by 2.
Let x, (x+2) and (x+4) represent the numbers
(x+4) + 2x = 112
3x = 108
x = 36
Middle number is 38
checking our answer
40 + 72 = 112