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Chapter 3: Q. 47 (page 316)

Find three consecutive integers whose sum is −36.

Short Answer

Expert verified

The integers are -13,-12,-11.

Step by step solution

01

Step 1. Given information 

We have been given that the sum of three consecutive integers is −36.

We have to find the integers.

02

Step 2. Form the equation 

Let the first integer is x.

So, the next two consecutive integers will be (x+1),(x+2).

As per the given statement,

role="math" localid="1647147624365" x+x+1+x+2=-36

03

Step 3. Solve the equation 

x+x+1+x+2=-363x+3=-363x=-36-33x=-39x=-393x=-13

Thusx+1=-12 and x+2=-11.

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