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Chapter 3: Q. 56 (page 316)

Find three consecutive odd integers whose sum is-267.

Short Answer

Expert verified

The three consecutive odd integers whose sum is-267are,-91,-89,-87.

Step by step solution

01

Step1.Given that,

The sum of three consecutive odd integers is, -267.

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=-267

02

Step 2.Now simplify it.

x+x+2+x+4=-2673x+6=-2673x=-267-63x=-273x=-2733x=-91

03

Step 3.Substitute x=-91 in x,x+2,x+4.

x=-91x+2=-91+2=-89x+4=-91+4=-87

04

Step 4.Let us check the answer.

x+x+2+x+4=-267-91-89-87=-267-267=-267

which is true.

Therefore, the three consecutive odd integers are,-91,-89,-87.

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