Question

the sum of three consecutive odd number is 69 . what are the numbers

Answer 1

In order to find the numbers we need to write the corresponding equation,

since the numbers are 2 consecutive odd numbers, it happens every 2 numbers, then,

$\begin{gathered} number\text{ }1:\text{ }x \\ number\text{ }2:\text{ }x+2 \\ number\text{ }3:\text{ }x+4 \end{gathered}$

then, write the equation

$x+(x+2)+(x+4)=69$

simplify the equation,

$3x+6=69$

solve for x,

$\begin{gathered} 3x=69-6 \\ 3x=63 \\ x=\frac{63}{3} \\ x=21 \end{gathered}$

Answer:

The numbers are 21, 23, and 25.