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Chapter 3: Q. 52 (page 316)

Find three consecutive odd integers whose sum is 291.

Short Answer

Expert verified

The integers are 95,97,99.

Step by step solution

01

Step 1. Given information 

We have been given that the sum of three consecutive odd integers is 291.

We have to find the integers.

02

Step 2. Form the equation 

Let the first odd integer is x.

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

As per the given statement,

x+x+2+x+4=291

03

Step 3. Solve the equation 

x+x+2+x+4=2913x+6=2913x=291-63x=285x=2853x=95

Thus x+2=97and x+4=99.

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