SOLUTION: find all sets of four consecutive integers whose sum is between 16 and 24

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Question 253323: find all sets of four consecutive integers whose sum is between 16 and 24
Found 2 solutions by richwmiller, Edwin McCravy:
Answer by richwmiller(17219)   (Show Source): You can put this solution on YOUR website!
16 x=3 and x=4
3456
4567
Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!

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







Subtract 6 from all three sides



Divide through by 4





The only two integers x between 2.5 and 4.5 are 3 and 4

So there are two sets:

x = 1st integer = 3
x+1 = 2nd integer = 4
x+2 = 3rd integer = 5
x+3 = 4th integer = 6
sum = 3+4+5+6=18

and

x = 1st integer = 4
x+1 = 2nd integer = 5
x+2 = 3rd integer = 6
x+3 = 4th integer = 7
sum = 4+5+6+7=22

Edwin
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