Question

The sum of three consecutive integers isless than 186. What is the maximumvalue for the first integer?

Answer 1

The sum of three consecutive integers is less than 186

Let "n" represent the first integer.

Then the second integer can be represented as "n+1"

And the second integer as "n+2"

Their sum can be expressed as:

`n+(n+1)+(n+2)<186`

From this inequality you can determine the value of n

`\begin{gathered} n+n+1+n+2<186 \\ 3n+3<186 \\ 3n<186-3 \\ 3n<183 \\ (3n)/(3)<(183)/(3) \\ n<61 \end{gathered}`

Tha maximum value of the first integer is 61