The sum of two consecutive even integers is 26. What are the numbers?

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Answer 1 · 2016-08-05T12:01:30

12 and 14

Any even integer can be expressed in the form #2k# for # k in ZZ#.

Two consecutive even numbers will thus be #2(k) and 2(k+1)#

#2(k) + 2(k+1) = 26#

#4k + 2 = 26#

#4k = 24#

#k = 6#

#implies# numbers are #12 and 14#