Question

The sum of three consecutive natural numbers is $114$. Find the numbers.

Answer 1

Let the three consecutive natural numbers be $x,(x+1),(x+2)$.
According to the question:
$x+(x+1)+(x+2)=114$
or, $x+x+1+x+2=114$
or, $3x+3=114$
or, $3x=114-3$
or, $3x=111$
or, $x=\frac{111}{3}$
or, $x=37$
Required numbers are:
$x=37$
or, $x+1=37+1=38$
or ,$x+2=37+2=39$
Thus, the required numbers are $37,38$ and $39$.