Question

7. Find three consecutive odd integers whose sum is 87.
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Answer 1

Given :

⬤ Sum of three Consecutive Odd Integers is 87 .

To Find :

⬤ Three Consecutive Odd Integers .

Solution :

Let :

• First Consecutive Odd Integers be = x
• Second Consecutive Odd Integers be = x+2
• Third Consecutive Odd Integers be = x+4

Now :

$\sf{x+x+2+x+4=87}$

3x + 6 = 87

3x = 87 - 6

3x = 81

x = 81/3

x = 27

Therefore , The Value of x is 27 .

Hence ,

First Consecutive Odd Integer = x

= 27

Second Consecutive Odd Integer = x + 2

= 27 + 2

= 29

Third Consecutive Odd Integer = x + 4

= 27 + 4

= 31

Therefore , The Three Consecutive Odd Integers are 27 , 29 and 31 .

Answer 2

Answer:

let the no. be x , x+2, x+2+2 i.e. x + 4( as they are consecutive odd integers and not consecutive 'simple' integers ) read it twice to understand better

so

A.T.Q.

x + x+2 + x+4 = 87

3x + 6 = 87

3x = 81

x = 27

so the remaining two odd consecutive integers are 29 and 31

so the pair is 27+29+31 = 87

( to make you understand it better I would like to tell you that the word 'odd' in the question is just to confuse you if it was to be mentioned or not the answer would be Same)

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