Answered

Westonci.ca connects you with experts who provide insightful answers to your questions. Join us today and start learning! Discover precise answers to your questions from a wide range of experts on our user-friendly Q&A platform. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

The sum of three consecutive numbers is eighty - one.What is the smallest of the three numbers ?

Sagot :

We are given that the sum of three consecutive numbers is 81. To determine the smallest number we will set "n" as the smallest number, therefore, since the numbers are consecutive this means that the three numbers are:

[tex]\begin{gathered} n=\text{ first number} \\ n+1=\text{ second number} \\ n+2=\text{ third number} \end{gathered}[/tex]

Now, since the sum of the numbers is 81 we have:

[tex]n+(n+1)+(n+2)=81[/tex]

Now we can add like terms:

[tex]3n+3=81[/tex]

Now we will solve for "n", first by subtracting 3 from both sides:

[tex]3n+3-3=81-3[/tex]

Solving the operations:

[tex]3n=78[/tex]

Now we divide both sides by 3:

[tex]\frac{3n}{3}=\frac{78}{3}[/tex]

Solving the operations we get:

[tex]n=26[/tex]

Therefore, the smallest number is 26.

Thank you for visiting our platform. We hope you found the answers you were looking for. Come back anytime you need more information. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.