Question

find three consecutive odd natural numbers whose sum is 87​

Answer 1

Answer:

27, 29, 31

Step-by-step explanation:

let a one of the odd natural number be x

then, let the other 2 numbers be (x + 2) and (x + 4)  [as they are odd consecutive]

sum = 87

therefore,

x + (x + 2) + (x + 4) = 87

=> 3x + 6 = 87

=> 3x = 81

=> x = 27

the 3 numbers are x = 27, x + 2 = 29, x + 4 = 31

Answer 2

Answer:

3 Consecutive Odd Natural Numbers :

27 , 29 and 31

Justification :

Given that ;

Sum of 3 Consecutive odd naturals = 87

Let ,

The first odd natural number = x

Second odd natural number = x + 2

Third consecutive odd number = x + 4

Now ,

Sum of the 3 odd Consecutive numbers;

x + ( x + 2 ) + ( x + 4 ) = 87

x + x + 2 + x + 4 = 87

3x + 6 = 87

3x = 87 - 6

3x = 81

x = 81 / 3

x = 27

Hence ;

The Consecutive Odd Natural Numbers :

The first odd natural number = x = 27

Second odd natural number = x + 2

                                         = 27 + 2 = 29

Third consecutive odd number = x + 4

                                         = 27 + 4 = 31