463,669 views
14 votes
14 votes
The sum of three consecutive odd number is 69 . what are the numbers

User Victor Ortiz
by
2.5k points

1 Answer

18 votes
18 votes

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=(63)/(3) \\ x=21 \end{gathered}

Answer:

The numbers are 21, 23, and 25.

User NotJustClarkKent
by
2.6k points