Question

Find three consecutive odd numbers whose sum is 117

Answer 1

37, 39 and 41

Step-by-step explanation:

Let the first odd number = x

The next two consecutive odd numbers are x+2 and x+4.

Taking the sum

`\begin{gathered} x+x+2+x+4=117 \\ 3x+6=117 \\ 3x=117-6 \\ 3x=111 \\ x=(111)/(3) \\ x=37 \end{gathered}`

The three consecutive odd numbers are 37, 39 and 41.