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Chapter 3: Q. 53 (page 316)

Find three consecutive even integers whose sum is −36.

Short Answer

Expert verified

The integers are -14,-12,-10.

Step by step solution

01

Step 1. Given information 

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

We have to find the integers.

02

Step 2. Form the equation

Let the first even integer is x.

So, the next two consecutive even integers will be (x+2),(x+4).

As per the given statement,

x+(x+2)+(x+4)=-36

03

Step 3. Solve the equation

x+(x+2)+(x+4)=-36x+x+2+x+4=-363x+6=-363x=-36-63x=-42x=-423x=-14

Thusx+2=-12 and x+4=-10.

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