The sum of two consecutive odd numbers is 72. Find the numbers.

Answer 1

Knowing the basic odd number sequence 1, 3, 5, 7, 9... you can see that in general terms two consecutive numbers can be represented by:

n, n + 2, ...

So the sum of two consecutive odd numbers will look like n + (n + 2)

For this problem,

n + (n + 2) = 72

2n + 2 = 72

2n = 72 - 2

2n = 70

n = 70/2 = 35

So the next consecutive odd number will be n + 2 = 35 + 2 = 37

Final Answer: 35 & 37

Hope this helps