SOLUTION: If the sum of six consecutive even integers is 450, what is the smallest of the six integers?

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Question 444655: If the sum of six consecutive even integers is 450, what is the smallest of the six integers?
Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
Six consecutive even integers could be a, b, c, d, e, and f. But that would be a nightmare.
Instead, let's go with:
x
x+2
x+4
x+6
x+8
x+10
.
We're told they total 450.
.
6x + 30 = 450
6x = 420
x = 70
.
That means the six consecutive even integers are:
70
72
74
76
78
80
.
Adding them, you'll find they = 450.
.
Done.