Five consecutive odd numbers .

Question

Five consecutive odd numbers have a sum of 505. Find median of numbers.

Answer 1

Let x be the median.  Then the 5 numbers are (in steps of 2):

 

x-4

x-2

x

x+2

x+4

 

Add them up and get

 

5x - 4 - 2 + 2 + 4 = 505

 

5x = 505

 

x = 101

 

The median is 101.