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Chapter 3: Q. 49 (page 316)

Find three consecutive even integers whose sum is 258.

Short Answer

Expert verified

The integers are 84,86,88.

Step by step solution

01

Step 1. Given information 

We have been given that the sum of three consecutive even integers is 258.

We have to find the integers.

02

Step 2. Form the equation 

Let the first even integer be x.

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

As per the given statement,

x+x+2+x+4=258

03

Step 3. Solve the equation 

x+x+2+x+4=2583x+6=2583x=258-63x=252x=2523x=84

Thusx+2=86 and x+4=88.

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