Chapter 2: Q. 2.34 (page 118)

Find three consecutive integers whose sum is $- 36$ .

Short Answer

Expert verified

Three consecutive integers will be $- 13, - 12, - 11$ .

Step by step solution

Step 1. Assume three consecutive integers.

Let three 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.

Question states that, "sum of three consecutive integers is $- 36$ ".

So the equation will be,

$n + (n + 1) + (n + 2) = - 36$

Step 3. Solve the equation,

Add like terms,

$(n + n + n) + (1 + 2) = - 36 3 n + 3 = - 36$

Step 4. isolate the variable on one side of the equation.

Subtract $3$ from both the sides of the equation,

(3 n + 3) - 3 = - 36 - 3

$3 n = - 39$

Step 5. Divide the equation by3,

$\frac{3 n}{3} = - \frac{39}{3}$

$n = - 13$

Step 6. Substitute the value of n.

$1 s t i n t e g e r = n = - 13 2 n d i n t e g e r = n + 1 = - 12 3 r d i n t e g e r = n + 2 = - 11$

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Find three consecutive integers whose sum is $- 36$ .

Short Answer

Step by step solution

Step 1. Assume three consecutive integers.

Step 2. Form the equation.

Step 3. Solve the equation,

Step 4. isolate the variable on one side of the equation.

Step 5. Divide the equation by3,

Step 6. Substitute the value of n.

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Find three consecutive integers whose sum is-36.

Short Answer

Step by step solution

Step 1. Assume three consecutive integers.

Step 2. Form the equation.

Step 3. Solve the equation,

Step 4. isolate the variable on one side of the equation.

Step 5. Divide the equation by3,

Step 6. Substitute the value of n.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Statistics

Mechanics Maths

Probability and Statistics

Logic and Functions

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Find three consecutive integers whose sum is $- 36$ .