Find expert answers and community support for all your questions on IDNLearn.com. Join our interactive Q&A platform to receive prompt and accurate responses from experienced professionals in various fields.

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

Sagot :

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:

[tex]n+(n+1)+(n+2)<186[/tex]

From this inequality you can determine the value of n

[tex]\begin{gathered} n+n+1+n+2<186 \\ 3n+3<186 \\ 3n<186-3 \\ 3n<183 \\ \frac{3n}{3}<\frac{183}{3} \\ n<61 \end{gathered}[/tex]

Tha maximum value of the first integer is 61