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

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Answer 1 · 2016-05-08T17:24:48

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

Let the three consecutive even integers be denoted as :

#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 integers are: