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Chapter 3: Q. 54 (page 316)

Find three consecutive even integers whose sum is-84.

Short Answer

Expert verified

The three consecutive even integers whose sum is -84are,-30,-28,-26.

Step by step solution

01

Step 1.Given that,

The sum of three even consecutive integers is, -84.

Let x,x+2,x+4be the three even consecutive integers.

From the given information. we can write as,

x+x+2+x+4=-84

02

Step 2. Now simplify it.

3x+6=-843x=-84-63x=-90x=-903x=-30

03

Step 3. Substitute the known values in x,x+2,x+4.

x=-30x=x+2x=-30+2x=-28x=x+4x=-30+4x=-26

04

Step 4. Let us check the answer.

x+x+2+x+4=-84-30-28-26=-84-84=-84

Therefore, the three even consecutive numbers are,-30,-28,-26.

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