Chapter 3: Q. 348 (page 405)

The sum of two consecutive integers is $- 135$ . Find the numbers.

Short Answer

Expert verified

The sum of two consecutive integers $- 68 & - 67$ is −135.

Step by step solution

Step 1. Given information

The sum of two consecutive integers is $- 135$

Step 2. Solution

Consider the First integers is n

Then next consecutive integer is $n + 1$

The sum of two consecutive integers is $- 135$

localid="1647202791943" $n + (n + 1) = - 135 2 n + 1 = - 135 2 n = - 136 n = - 68$

The first number is $- 67$

The next consecutive integer is

localid="1647202803016" $n + 1 = - 68 + 1 = - 67$

So two consecutive integers are localid="1647202813815" $- 68 & - 67 .$

Step 3. Verification

Sum of $- 68 & - 67$ is $- 135$

localid="1647203043260" $(- 68) + (- 67) \overset{?}{=} - 135 - 68 - 67 = - 135$

The left-hand side is equal to the right-hand side, so our answer is correct

two consecutive integers are $- 68 & - 67$

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The sum of two consecutive integers is $- 135$ . Find the numbers.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Solution

Step 3. Verification

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The sum of two consecutive integers is-135. Find the numbers.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Solution

Step 3. Verification

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Logic and Functions

Decision Maths

Statistics

Mechanics Maths

Calculus

Study anywhere. Anytime. Across all devices.

The sum of two consecutive integers is $- 135$ . Find the numbers.