SOLUTION: Find 4 consecutive even integers such that sum of the 1st and 4th is the same as the sum of 2nd and 3rd

SOLUTION: Find 4 consecutive even integers such that sum of the 1st and 4th is the same as the sum of 2nd and 3rd

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Question 173764: Find 4 consecutive even integers such that sum of the 1st and 4th is the same as the sum of 2nd and 3rd
Answer by Mathtut(3670) (Show Source): You can put this solution on YOUR website!
let consecutive even integers be a,a+2,a+4,a+6
:
a+(a+6)=(a+2)+(a+4)
:
2a+6=2a+6
:
infinite solutions (all even consecutive integers qualify).
2,4,6,8 just being 1 solution
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