Question

the sum of two consecutive odd numbers is 32. find the greatest odd number​

Answer 1

The sum of two consecutive odd numbers is 32.

Let the two consecutive odd numbers be x and (x+2).

Therefore, by the problem

$x + (x + 2) = 32 \\ or \: 2x + 2 = 32 \\ or \: 2x = 32 - 2 \\ or \: 2x = 30 \\ or \: x = \frac{30}{2} \\ or \: x = 15$

Therefore, the two consecutive odd numbers are 15 and (15+2), i.e., 17.

Therefore, the greatest odd number is 17.

Answer:

The greatest odd number is 17.

Answer 2

Step-by-step explanation:

Given:-

The sum of two consecutive odd numbers is 32.

To find:-

Find the greatest odd number?

Solution:-

We know that

The general form of an odd number = 2n+1

Let the two consecutive odd numbers be 2X+1 and 2X+3

Their sum = (2X+1)+(2X+3)

=>2X+1+2X+3

=>4X+4

According to the given problem

The sum of two consecutive odd numbers is 32..

=>4X+4 = 32

=>4X = 32-4

=>4X = 28

=>X = 28/4

=>X = 7

now 2X+1 = 2(7)+1 = 14+1 = 15

and 2X+3 = 2(7)+3=14+3 = 17

The numbers are 15 and 17

Answer:-

The required the consecutive odd

numbers = 15 and 17

The greatest odd number = 17

Check:-

Their sum = 15+17 = 32

Verified the given relation.