Question

This problem is a word problem: the sum of two consecutive odd numbers is 72 find the numbers

Answer 1

Two consecutive odd numbers are:

n and n+2

The sum of two consecutive odd numbers

`n+(n+2)`

the sum of two consecutive odd numbers is 72:

`n+(n+2)=72`

Use this equation to find the value of n:

`\begin{gathered} n+n+2=72 \\ 2n+2=72 \\ 2n=72-2 \\ 2n=70 \\ n=(70)/(2) \\ \\ n=35 \end{gathered}`As n is 35. The consecutive odd numbers are: 35 and 37

n=35

n+2=35+2=37