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Chapter 2: Q. 110 (page 129)

Find three consecutive even integers whose sum is 222.

Short Answer

Expert verified

Three consecutive even integers whose sum is 222 are 72, 74, 76.

Step by step solution

01

Step 1. Given information  

Sum of three consecutive even integers is 222.

02

Step 2. Concept  

Consecutive even integers are the even number whose difference between consecutive terms is 2. For example 2,4,6,8 are consecutive because their difference is 2.

03

Step 3. Solution  

Let three consecutive even integers arex,x+2andx+4.

Then according to given information

x+x+2+x+4=222

Thus solving for x

3x+6=222subtracting6frombothsides3x=222-63x=216dividingby33x3=2163x=72

So , one of the three integer is 72.

So Other two integers are 74 and 76.

Hence, three even integers whose sum is 222 are 72,74,76.

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