The sum of 5 consecutive odd numbers is 135 . What is the second 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 odd number  is always 2.

 

                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 135.

 

So, we are getting the following equation

 

x +( x+2)+(x+4) +(x+6)+(x+8)  = 135

Or, 5x + 20 = 135

Or,5x + 20 – 20 = 135 - 20 [ Deduct 20 from both sides ]

Or, 5x + 0 = 115

Or, 5x = 115

Or, 5x/5 =  115/5

[Divide both sides by 5]

Or, x = 23

Now put the value of x here:

x, x+2,x+4 ,x+6,x+8

= 23, 23+2 , 23+4 ,23+6,23+8

=23,   25,    27,    29,      31

So, the second number of this sequence is 25.

Answer:25

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