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

2 Answers
Aug 19, 2016

The integers are #138;139 and 140#

Explanation:

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#

Aug 19, 2016

#138,139,140#

Explanation:

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