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Chapter 3: Q. 43 (page 316)

The sum of two consecutive integers is −23. Find the integers.

Short Answer

Expert verified

The integers are -12,-11.

Step by step solution

01

Step 1. Given information

We have been given that the sum of two consecutive integers is −23.

We have to find the integers.

02

Step 2. Form the equations

Let the one integer be x

From the statement: The sum of two consecutive integers is -23.

We get :

x+(x+1)=-23

03

Step 3. Solve for the equations

Solve the equation for x,

x+x+1=-232x+1=-232x=-23-12x=-24x=-12

The second integer will be,

x+1=-12+1=-11

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