Chapter 2: Q29. (page 94)

Write an equation and solve each problem.
Find four consecutive integers with the sum of $- 142$ .

Short Answer

Expert verified

The required consecutive integers are $- 37, - 36, - 35$ and $- 34$ .

Step by step solution

Step 1. List the given data.

The sum of four consecutive integers is $- 142$ .

Step 2. Write the equation for the given problem.

Let $x$ be the first integer. Then, the four consecutive integers are $x$ , $x + 1$ , $x + 2$ and $x + 3$ .

Translating the given problem into equation form,

$x + x + 1 + x + 2 + x + 3 = - 142$

This is the required equation for the given problem.

Step 3. Solve the equation.

Solving,

$x + x + 1 + x + 2 + x + 3 = - 142$ (Obtained equation)

$4 x + 6 = - 142$ (Simplify)

$4 x + 6 - 6 = - 142 - 6$ (Subtract 6 from both sides)

$4 x = - 148$ (Simplify)

$\frac{4 x}{4} = \frac{- 148}{4}$ (Divide both sides by 4)

$x = - 37$ (Simplify)

So, $x = - 37$ is the solution of the obtained equation.

Step 4. Interpret the obtained solution.

According to the assumption, $x$ is the first of the four required consecutive integers which satisfy the given problem.

Thus, the required consecutive integers are $- 37, - 36, - 35$ and localid="1642483245931" $- 34$ .

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Write an equation and solve each problem.
Find four consecutive integers with the sum of $- 142$ .

Short Answer

Step by step solution

Step 1. List the given data.

Step 2. Write the equation for the given problem.

Step 3. Solve the equation.

Step 4. Interpret the obtained solution.

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Write an equation and solve each problem.Find four consecutive integers with the sum of -142.

Short Answer

Step by step solution

Step 1. List the given data.

Step 2. Write the equation for the given problem.

Step 3. Solve the equation.

Step 4. Interpret the obtained solution.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Discrete Mathematics

Probability and Statistics

Decision Maths

Logic and Functions

Geometry

Study anywhere. Anytime. Across all devices.

Write an equation and solve each problem.
Find four consecutive integers with the sum of $- 142$ .