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

Question 253348: find all sets of four consecutive odd integers whose sum is between 46 and 54
Answer by Edwin McCravy(20054) (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







Subtract 12 from all three sides



Divide through by 4





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

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