The sum of the consecutive numbers is 111. What is the smallest of the three numbers?

Mathematics · Middle School · Mon Jan 18 2021

Answered on

Given the statement:

The sum of the consecutive numbers is 111.

Determine the smallest of the three integers.

Solution:

In order to determine the answer, we must first find the three integers. To do so, we can simply do logical analysis, and pick 3 consecutive values that is near 111. In our case we can start with,

35 + 36 + 37
= 108

Now notice that we are very near the value, hence we can add 1 to each value and determine the sum.

36 + 37 + 38
= 111

Now since we've determined the three consecutive integers, we also know that 36 is the smallest of the three.

Final answer:

= 36