SOLUTION: The sum of three consecutive even integers is 270. Find the integers

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Question 514093: The sum of three consecutive even integers is 270. Find the integers
Found 2 solutions by oberobic, MathTherapy:
Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
The consecutive integers can be defined as:
x
x+1
x+2
.
x +x+1 +x+2 = 270
3x = 267
x = 89
x+1 = 90
x+2 = 91

Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of three consecutive even integers is 270. Find the integers

Let the first even integer be F

Then the 2nd and 3rd are F + 2, and F + 4, respectively

Since their sum is 270, then we'll have:

F + F + 2 + F + 4 = 270

3F + 6 = 270

3F = 270 - 6

3F = 264

F, or 1st even integer = 264%2F3, or highlight_green%2888%29

Second and third even integers are highlight_green%2890%29 (88 + 2), and highlight_green%2892%29 (88 + 4), respectively.

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Check
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88 + 90 + 92 = 270

170 = 170 (TRUE)

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