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Chapter 3: Q. 55 (page 316)

Find three consecutive odd integers whose sum is-213.

Short Answer

Expert verified

The three consecutive odd integers whose sum is-213are,-73,-71,-69.

Step by step solution

01

Step 1.Given that,

The sum of three consecutive odd integers-213.

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

From the given information, we can write it as,

x+x+2+x+4=-213.

02

Step 2.Now simplify it.

x+x+2+x+4=-2133x+6=-2133x=-213-63x=-219x=-2193x=-73

03

Step 3.Substitute x=-73 in x,x+2,x+4.

x=-73x+2=-73+2=-71x+4=-73+4=-69

04

Step 4.Let us check the answer.

x+x+2+x+4=-213-73-71-69=-213-213=-213

which is true.

Therefore, the three consecutive odd integers are,-73,-71,-69.

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