SOLUTION: find all sets of four consecutive odd integers whose sum is between 46 and 54

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Question 253348: find all sets of four consecutive odd integers whose sum is between 46 and 54
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
find all sets of four consecutive odd integers whose sum is between 46 and 54 

x = 1st odd integer
x+2 = 2nd odd integer
x+4 = 3rd odd integer
x+6 = 4th odd integer

46%3C+x+%2B+%28x%2B2%29%2B%28x%2B4%29%2B%28x%2B6%29%3C54

46%3C+x+%2B+x%2B2%2Bx%2B4%2Bx%2B6%3C54

46%3C4x+%2B+12%3C54

Subtract 12 from all three sides

34%3C4x%3C42

Divide through by 4

34%2F4%3Cx%3C42%2F4

8.5%3Cx%3C10.5

The only odd integer x between 8.5 and 10.5 is 9.

So there is just one set:

x = 1st odd integer = 9
x+2 = 2nd odd integer = 11
x+4 = 3rd odd integer = 13
x+6 = 4th odd integer = 15
sum = 9+11+13+15=48

Edwin