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Call the smallest number x, which makes the next two consecutive even numbers x+2 and x+4. The sum of these three numbers is 36, so: x + (x + 2) + (x + 4) = 36 3x + 6 = 36 3x = 36 - 6 = 30 x = 10 So the three numbers are 10, 12, and 14, which indeed total 36. So the largest number is 14. Note that the question was about consecutive even numbers. Had the question just been about consecutive numbers, the numbers would be x, x+1, and x+2, so you'd get x + (x+1) + (x+2) = 36, 3x + 3 = 36, 3x = 33, x=11. The three numbers would be 11, 12, and 13, so the answer would be 13.
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