Chapter 3: Q. 54 (page 316)

Find three consecutive even integers whose sum is $- 84$ .

Short Answer

Expert verified

The three consecutive even integers whose sum is $- 84$ are, $- 30, - 28, - 26$ .

Step by step solution

Step 1.Given that,

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

Let $x, x + 2, x + 4$ be the three even consecutive integers.

From the given information. we can write as,

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

Step 2. Now simplify it.

$3 x + 6 = - 84 3 x = - 84 - 6 3 x = - 90 x = \frac{- 90}{3} x = - 30$

Step 3. Substitute the known values in x,x+2,x+4.

$x = - 30 x = x + 2 x = - 30 + 2 x = - 28 x = x + 4 x = - 30 + 4 x = - 26$

Step 4. Let us check the answer.

$x + x + 2 + x + 4 = - 84 - 30 - 28 - 26 = - 84 - 84 = - 84$

Therefore, the three even consecutive numbers are, $- 30, - 28, - 26$ .

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Find three consecutive even integers whose sum is $- 84$ .

Short Answer

Step by step solution

Step 1.Given that,

Step 2. Now simplify it.

Step 3. Substitute the known values in x,x+2,x+4.

Step 4. Let us check the answer.

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Find three consecutive even integers whose sum is-84.

Short Answer

Step by step solution

Step 1.Given that,

Step 2. Now simplify it.

Step 3. Substitute the known values in x,x+2,x+4.

Step 4. Let us check the answer.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Calculus

Applied Mathematics

Probability and Statistics

Logic and Functions

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Find three consecutive even integers whose sum is $- 84$ .