How do you find two consecutive odd numbers whose sum is 276?

2 Answers
May 27, 2018

Answer:

The two consecutive odd numbers are #137# and #139#.

Explanation:

Consecutive means following continuously, or in an unbroken sequence.

An example of two consecutive odd numbers would be #1# and #3# or like #77# and #79#.

First, divide #276# by #2#:
#276/2 = 138#

That means #138 + 138 = 276#.

To make them two consecutive odd numbers, we can subtract #1# from one of the #138#s and add #1# to one of the #138#s:
#138 - 1 = 137#

#138 + 1 = 139#

When we add them up together, we still get #276#.

Therefore, the two consecutive odd numbers are #137# and #139#.

Hope this helps!

May 27, 2018

Answer:

#137 and 139#

Explanation:

Let the two consecutive odd numbers be: #(2n-1) and (2n+1) : n in ZZ#

We are told that their sum is #276#

Hence, #(2n-1) + (2n+1) = 276#

#4n = 276 -> n = 69#

So, our first number is: #2xx69-1 = 137#

and the second number is: #139#