The sum of two consecutive even numbers is 114 find the numbers?

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Answer 1 · 2018-05-11T22:03:15

#color(blue)(56 and 58)#

Let n be any positive integer:

Then:

#2n# is an even number and #2n+2# is the next even number.

The sum of these is #114#:

#2n+2n+2=114#

#4n=112#

#n=112/4=28#

So the numbers are:

#2n=2(28)=color(blue)(56)#

#2n+2=2(28)+2=color(blue)(58)#