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Chapter 3: Q. 50 (page 316)

Find three consecutive even integers whose sum is 222.

Short Answer

Expert verified

The integers are 72,74,76.

Step by step solution

01

Step 1. Given information 

We have been given that the sum of three consecutive even integers is 222.

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=222

03

Step 3. Solve the equation 

x+x+2+x+4=2223x+6=2223x=222-63x=216x=2163x=72

Thusx+2=74 and x+4=76.

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