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Three consecutive even integers have a sum of 48. What are the integers?

1 Answer

Oct 20, 2016

The three consecutive even numbers are #14, 16,and 18#

Explanation:

Let #color(red)(n_# be the smallest even integer.
Therefore the other two consecutive even integers will be: #color(blue)(n+2)# and #color(green)(n+4)#

We are told
#color(white)("XXX")color(red)n+color(blue)(n+2)+color(green)(n+4)=48#

#rarr 3n+6=48#

#rarr 3n=42#

#rarr n=14#

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