The sum of three consecutive even integers is 54. How do you find the integers?

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Answer 1 · 2016-07-29T20:16:50

#=17; 18 and 19#

Sum of three consecutive integers can be written as
#(a-1)+a+(a+1)=54#
or
#3a-1+1=54#
or
#3a+0=54#
or
#3a=54#
or
#a=54/3#
#a=18#

So we get the three integers as

#a-1#

#=18-1#
#=17#========Ans #1#

#a=18#=======Ans #2#

and #a+1#

#=18+1#
#=19#========Ans #3#