Question

The sum of 5 consecutive odd numbers is 135. Find the numbers.

Answer 1

We can represent the first odd number by 2k+1 where k is an integer.
The consecutive odd numbers are 2k+3,2k+5,2k+7 and 2k+9
Sum of 5 consecutive odd numbers =( 2k+1)+ ( 2k+3)+(2k+5)+(2k+7)+(2k+9)
= 10k+25 = 135 (given)
=> 10k = 110
=>k = 11
So the first of the consecutive odd numbers = 2(11)+1 = 23
The consecutive odd numbers are 23,25,27,29 and 31 Answer