The sum of three consecutive odd integers is 195, what are the integers ?

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Answer 1 · 2016-02-26T04:27:17

#63,65,67#

Say that there is some odd integer #x#. We don't know the value of it yet, we just know that #x# is some odd integer.

The next consecutive odd integer would be #2# away, or #x+2#. The next would be #2# after that, or #x+4#.

Thus our three consecutive odd integers are #x,x+2# and #x+4#.

Since we know their sum is #195#, we can say that

#x+(x+2)+(x+4)=195#

Combine like terms and solve for #x#.

#3x+6=195#

#3x=189#

#x=63#

Hence the other two odd numbers are #x+2=65# and #x+4=67#.