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Chapter 3: Q. 44 (page 316)

The sum of two consecutive integers is −37. Find the integers.

Short Answer

Expert verified

The integers are -18,-19.

Step by step solution

01

Step 1. Given information 

We have been given that the sum of two consecutive integers is −37.

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 -37 .

We get :

x+(x+1)=-37

03

Step 3. Solve for the equations

Solve the equation for x,

x+x+1=-372x+1=-372x=-37-12x=-38x=-19

The second integer will be,

x+1=-19+1=-18

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