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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

01

Step 1. List the given data.

The sum of four consecutive integers is-142.

02

Step 2. Write the equation for the given problem.

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

Translating the given problem into equation form,

x+x+1+x+2+x+3=鈭�142

This is the required equation for the given problem.

03

Step 3. Solve the equation.

Solving,

x+x+1+x+2+x+3=鈭�142 (Obtained equation)

4x+6=鈭�142 (Simplify)

4x+6鈭�6=鈭�142鈭�6 (Subtract 6 from both sides)

4x=鈭�148 (Simplify)

4x4=鈭�1484 (Divide both sides by 4)

x=鈭�37 (Simplify)

So, x=鈭�37is the solution of the obtained equation.

04

Step 4. Interpret the obtained solution.

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

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

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Most popular questions from this chapter

Solve each equation. Check your solution.

9x+27=鈭�72

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