Question

The sum of three consecutive odd numbers is $51$. Find the numbers .

Answer 1

Let the three consecutive odd integers be $x,x+2,x+4$.

Then according to the problem,

$x+x+2+x+3=51$

or, $3x+6=51$

or, $3x=45$

or, $x=15$.

So the numbers are $15,17,19$.