Chapter 2: Q. 2.33 (page 118)

Find three consecutive integers whose sum is $- 96$ .

Short Answer

Expert verified

Three consecutive integers will be $- 33, - 32, - 31$ .

Step by step solution

Step. 1 Assume the integers.

Let the consecutive integers are,

$1 s t i n t e g e r = n 2 n d i n t e g e r = n + 1 3 r d i n t e g e r = n + 2$

Step 2. Form the equation for the statement given.

"Sum of these consecutive integers is $- 96$ "

Equation for the statement will be,

$n + (n + 1) + (n + 2) = - 96$

Step 3. Add like terms.

$3 n + 3 = - 96$

Step 4. Isolate the variable on one side.

To isolate the variable $n$ subtract $3$ from both the sides of the equation,

$(3 n + 3) - 3 = - 96 - 3 3 n = - 99$

Step 5. Solve the equation.

Divide the equation by 3,

\frac{3 n}{3} = - \frac{99}{3} n = - 33

Step 6. Substitute the value of variable n.

Three consecutive integers will be,

n = - 33 n + 1 = - 33 + 1 = - 32 n + 2 = - 33 + 2 = - 31

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Find three consecutive integers whose sum is $- 96$ .

Short Answer

Step by step solution

Step. 1 Assume the integers.

Step 2. Form the equation for the statement given.

Step 3. Add like terms.

Step 4. Isolate the variable on one side.

Step 5. Solve the equation.

Step 6. Substitute the value of variable n.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Logic and Functions

Mechanics Maths

Statistics

Applied Mathematics

Calculus

Study anywhere. Anytime. Across all devices.

Find three consecutive integers whose sum is -96.

Short Answer

Step by step solution

Step. 1 Assume the integers.

Step 2. Form the equation for the statement given.

Step 3. Add like terms.

Step 4. Isolate the variable on one side.

Step 5. Solve the equation.

Step 6. Substitute the value of variable n.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Logic and Functions

Mechanics Maths

Statistics

Applied Mathematics

Calculus

Study anywhere. Anytime. Across all devices.

Find three consecutive integers whose sum is $- 96$ .