What are three consecutive even integers such that the sum of the first and twice the second is 20 more than the third?

1 Answer
seph
Apr 23, 2016

10, 12, 14

Explanation:

Let #x# be the smallest of the 3 integers
#=># the second integer is #x + 2#
#=># the largest integer is #x + 4#

#x + 2(x + 2) = x + 4 + 20#
#=> x + 2x + 4 = x + 24#
#=> 3x + 4 = x + 24#
#=> 2x = 20 #=> x = 10#

#=> x + 2 = 12#
#=> x + 4 = 14#

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