The sum of three consecutive integers equal 417. What are the integers?

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Answer 1 · 2016-08-19T12:08:38

The integers are #138;139 and 140#

Let the three consecutive integers be #(a-1); a; and (a+1)#

So we can write sum of these as

#(a-1)+a+(a+1)=417#

or

#3a=417#

or

#a=417/3#

or

#a=139#

therefore the integers are #138;139 and 140#

Answer 2 · 2016-08-19T12:09:12

#138,139,140#

Call the middle number #x# so the three consecutive integers will be #(x-1),x,(x+1)#

Summing:

#(x-1) + x + (x+1) = 417#

#3x = 417#

#x = 139#

Middle number is 139 so numbers are 138, 139, 140