The sum of 5 consecutive odd numbers is 145 . What is the third number in this sequence.

Solution:

We need to find out the third odd number from consecutive odd number sequence.

Step-1:

We have to have knowledge about odd number . If you divide a odd number by 2 ,you will get a remainder.,i.e. an odd number is not exactly divisible by 2.

Now you have to understand about consecutive odd number.The difference between two consecutive odf number is always 2.

The sum of 5 consecutive odd numbers is 145 . What is the third number in this sequence.

Step-2:

Say,the first odd number is x.

So, the second odd number will be x+ 2. Thus, the third consecutive odd number will be x+4 .Besides,the fourth odd number will be x+6.Furthermore,the fifth odd number will be x+8.

Have a look here.

The five consecutive odd numbers are x, x+2,x+4 ,x+6 ,x+8 respectively.

Step-3:

According to the conditions,the sum of 5 consecutive odd numbers will be 145.

So, we are getting the following equation

x +( x+2)+(x+4) +(x+6)+(x+8) = 145

Or, 5x + 20 = 145

Or,5x + 20 – 20 = 145 - 20 [ Deduct 20 from both sides ]

Or, 5x + 0 = 125

Or, 5x = 125

Or, 5x/5 = 125/5

[Divide both sides by 5]