# SOLUTION: Three consecutive even integers are such that the square of the third is 100 more than the square of the second. Find the three integers.

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 Question 178286: Three consecutive even integers are such that the square of the third is 100 more than the square of the second. Find the three integers.Found 2 solutions by jim_thompson5910, josmiceli:Answer by jim_thompson5910(29613)   (Show Source): You can put this solution on YOUR website! Consecutive even integers are of the form , , , etc... So the word problem translates to Start with the given equation. FOIL Get all terms to the left side. Combine like terms. Add to both sides. Divide both sides by to isolate . Reduce. ---------------------------------------------------------------------- Answer: So the answer is which means that the numbers are So the numbers are 22, 24, and 26 Answer by josmiceli(10616)   (Show Source): You can put this solution on YOUR website!Call the consecutive even integers , , and given: -------- The numbers are 22,24, and 26 check: OK