# SOLUTION: find two consecutive even integers whose sum is 217. I have no idea what to do on that problem. Thanks if someone can help.

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 Question 52621: find two consecutive even integers whose sum is 217. I have no idea what to do on that problem. Thanks if someone can help. Found 2 solutions by stanbon, checkley71:Answer by stanbon(60771)   (Show Source): You can put this solution on YOUR website!Find two consecutive even integers whose sum is 217. ------------ Even numbers are always a multiple of 2. Let the 1st number be "2x" The next consecutive even number is "2x+2" EQUATION: 2x+2x+2=217 4x+2=217 4x=215 x is not an integer. WHY? The sum of two even integers must be even; it cannot be 217. Cheers, Stan H. Answer by checkley71(8403)   (Show Source): You can put this solution on YOUR website!x+(x+2)=217 or 2x+2=217 or 2x=217-2 or 2x=215 or x=107.5 then x+2=107.5+2=109.5 proof 107.5+109.5=217 opr 217=217 107.5 & 109.5 are not even integers??????? two even integers added will result in an even interger. 217 is not one of them.