1.

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

Answer»

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.


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