The sum of two consecutive integers is 183. What is the smaller integer?

1 Answer
Ken C.
Jul 19, 2016

The smaller integer is #92#.

Explanation:

Let's first define variable names for the stuff we don't know.

Let #n# be the smaller integer, and if the two integers are consecutive, then the next integer will be #n+1#. For example, if the smaller integer is #80#, then the next integer will be #80+1#, or #81#.

We are told that the sum of these two integers is #183#, so:
#n+(n+1)=183#

Simplifying and solving, we get:
#2n+1=183#
#2n=182#
#n=182/2=91#

Since we said #n# was the smaller integer, and #n=92#, the smaller integer is #92#.

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