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12 votes
12 votes
Write the following as an algebraic expression. Then simplify

The sum of three consecutive even integers is
330. Find the integers.

User Miushock
by
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1 Answer

18 votes
18 votes

Answer:

108, 110, 112

Explanation:

You want three consecutive even integers whose sum is 330.

Expression

Let x represent the middle integer. Then the other two are (x-2) and (x+2). The expression for their sum is ...

(x -2) +x +(x +2) = 330 . . . . . an algebraic expression

3x = 330

x = 110

x -2 = 108

x +2 = 112

The three integers are 108, 110, 112.

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Additional comment

"Consecutive integer" problems are often worked easily by considering the average value of the integers. For three consecutive integers, their average is the middle one.

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User Llewellyn
by
3.1k points