How do you find three consecutive even numbers whose sum is 54?

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Answer 1 · 2016-11-15T08:09:06

The three numbers are #16#, #18#, and #20#.

We shall represent the three consecutive even numbers by #x#, #(x+2)# and #(x+4)#. An equation can be written:

#x+ (x+2)+(x+4)=54#

Open the brackets and simplify.

#x+ x+2+x+4=54#

#3x+6=54#

Subtract #6# from each side.

#3x=48#

Divide both sides by #3#.

#x=16#

#:. (x+2)=18# and #(x+4)=20#