SOLUTION: find all sets of four consecutive integers that are positive and whose sum is at most 25. 1 = x 2 = x+2 3 = x+4 4 = x+6

SOLUTION: find all sets of four consecutive integers that are positive and whose sum is at most 25. 1 = x 2 = x+2 3 = x+4 4 = x+6

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Question 506392: find all sets of four consecutive integers that are positive and whose sum is at most 25.
1 = x
2 = x+2
3 = x+4
4 = x+6
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
You would let the integers be x, x+1, x+2, x+3 instead of x, x+2, x+4, x+6.

Their sum is 4x+6, and we set this less than or equal to 25:

(5 is too large)

The only pairs are (1,2,3,4),(2,3,4,5),(3,4,5,6), and (4,5,6,7).
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