Chapter 2: Q26. (page 94)

Write an equation and solve each problem.
Find three consecutive even integers with the sum of $- 84$ .

Short Answer

Expert verified

The required consecutive even integers are $- 30, - 28$ and $- 26$ .

Step by step solution

Step 1. List the given data.

The sum of three consecutive even integers is $- 84$ .

Step 2. Write the equation for the given problem.

Let $x$ be the first even integer. Then, the three consecutive even integers are $x$ , $x + 2$ and $x + 4$ .

Translating the given problem into equation form,

$x + x + 2 + x + 4 = - 84$

This is the required equation for the given problem.

Step 3. Solve the equation.

Solving,

$x + x + 2 + x + 4 = - 84$ (Obtained equation)

$3 x + 6 = - 84$ (Simplify)

$3 x + 6 - 6 = - 84 - 6$ (Subtract 6 from both sides)

$3 x = - 90$ (Simplify)

$\frac{3 x}{3} = \frac{- 90}{3}$ (Divide both sides by 3)

$x = - 30$ (Simplify)

So, $x = - 30$ is the solution of the obtained equation.

Step 4. Interpret the obtained solution.

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

Thus, the required consecutive even integers are $- 30, - 28$ and $- 26$ .

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Write an equation and solve each problem.
Find three consecutive even integers with the sum of $- 84$ .

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 three consecutive even integers with the sum of -84.

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

Calculus

Theoretical and Mathematical Physics

Decision Maths

Mechanics Maths

Statistics

Logic and Functions

Study anywhere. Anytime. Across all devices.

Write an equation and solve each problem.
Find three consecutive even integers with the sum of $- 84$ .