The sum of three consecutive even numbers is 456. Find the numbers
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To solve for X, you first add the integers together and the X variables together. Then you subtract three from each side, followed by dividing by 3 on each side. Here is the work to show our math:
X + X + 1 + X + 2 = 456
3X + 3 = 456
3X + 3 - 3 = 456 - 3
3X = 453
3X/3 = 453/3
X = 151
Which means that the first number is 151, the second number is 151 + 1 and the third number is 151 + 2. Therefore, three consecutive integers that add up to 456 are 151, 152, and 153.
151 + 152 + 153 = 456
We know our answer is correct because 151 + 152 + 153 equals 456 as displayed above.
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