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How do you find three consecutive even integers whose sum is 138?

Answer 1

Eva Adamson

The integers are:
# color(blue)(44 , 46# and #color(blue)(48#

The three consecutive even numbers can be represented as follows:

#color(blue)( x , x+2 , x+4#

# x + x + 2 + x + 4 = 138#

# 3x + 6 = 138#

# 3x = 138 - 6 #

# 3x = 132 #

# x = 132/ 3 #

# x = 44#

The whole numbers are:

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Answer 2

Avery Alexander

Let's represent the three consecutive even integers as x, x + 2, and x + 4.

The sum of these three consecutive even integers is given by:

x + (x + 2) + (x + 4) = 138

Combine like terms:

3x + 6 = 138

Subtract 6 from both sides:

3x = 132

Divide both sides by 3:

x = 44

So, the three consecutive even integers are 44, 46, and 48.

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Answer 3

Hazel Anglin

Let ( n ) represent the first even integer. Then, the next two consecutive even integers would be ( n + 2 ) and ( n + 4 ). To find three consecutive even integers whose sum is 138, we set up the equation ( n + (n + 2) + (n + 4) = 138 ) and solve for ( n ).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.