SOLUTION: Find three consecutive odd number such that 5 times the middle number is greater than the sum of the first and last number by 495.

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Question 1065957: Find three consecutive odd number such that 5 times the middle number is greater than the sum of the first and last number by 495.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
The numbers:
163, 165, 167

CHECK: 5*165-163-167=495

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Find three consecutive odd number such that 5 times the middle number is greater than the sum of the first and last number by 495. 
Let 1st number be F

Then middle and largest =  F + 2, and F + 4, respectively

We then get: 5(F + 2) = F + F + 4 + 495

5F + 10 = 2F + 499

5F - 2F = 499 - 10

3F = 489

F, or 1st = highlight_green%28matrix%281%2C3%2C+489%2F3%2C+or%2C+163%29%29

You should be able to find the middle and largest!