Chapter 3: Q. 55 (page 316)

Find three consecutive odd integers whose sum is $- 213$ .

Short Answer

Expert verified

The three consecutive odd integers whose sum is $- 213$ are, $- 73, - 71, - 69$ .

Step by step solution

Step 1.Given that,

The sum of three consecutive odd integers $- 213$ .

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

From the given information, we can write it as,

$x + x + 2 + x + 4 = - 213$ .

Step 2.Now simplify it.

$x + x + 2 + x + 4 = - 213 3 x + 6 = - 213 3 x = - 213 - 6 3 x = - 219 x = \frac{- 219}{3} x = - 73$

Step 3.Substitute x=-73 in x,x+2,x+4.

$x = - 73 x + 2 = - 73 + 2 = - 71 x + 4 = - 73 + 4 = - 69$

Step 4.Let us check the answer.

$x + x + 2 + x + 4 = - 213 - 73 - 71 - 69 = - 213 - 213 = - 213$

which is true.

Therefore, the three consecutive odd integers are, $- 73, - 71, - 69$ .

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Find three consecutive odd integers whose sum is $- 213$ .

Short Answer

Step by step solution

Step 1.Given that,

Step 2.Now simplify it.

Step 3.Substitute x=-73 in x,x+2,x+4.

Step 4.Let us check the answer.

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Find three consecutive odd integers whose sum is-213.

Short Answer

Step by step solution

Step 1.Given that,

Step 2.Now simplify it.

Step 3.Substitute x=-73 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

Logic and Functions

Mechanics Maths

Probability and Statistics

Statistics

Applied Mathematics

Calculus

Study anywhere. Anytime. Across all devices.

Find three consecutive odd integers whose sum is $- 213$ .