Question

The sum of three consecutive odd natural numbers is $249$.Find the numbers.

Answer 1

Let three consecutive odd natural numbers be $x,x+2,x+4$

Then,Sum$=x+x+2+x+4=249$

$\Rightarrow 3x+6=249$

$\Rightarrow 3x=249-6=243$

$\Rightarrow x=\frac{243}{3}=81$

$\Rightarrow x+2=81+2=83,x+4=81+4=85$

Thus, the three consecutive odd natural numbers are $81,83$ and $85$