What consecutibe numbers make up 180

Question

Consecutibe numbers

Answer 1

Hi Zhiya,

 

Let us represent the two consecutive numbers as

n

n + 1

 

They must add to 180.

 

n + (n + 1) = 180

or

2n + 1 = 180

 

2n = 179

 

So, n = 179/2 = 89.5

89.5, 90.5

 

This does not make sense if we are dealing with consecutive integers.

 

So, you cannot add two consecutive integers and obtain 180.

 

How about 3 consecutive integers: n, n + 1, n + 2

 

n + n + 1 + n + 2 = 180

 

3n + 3 = 180

 

3n = 177

 

n = 59

 

So, 59, 60, and 61 are three consecutive integers that sum to 180.