Question

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

Answer 1

Let the three consecutive natural numbers be $x,(x+1)$ and $(x+2)$

It is given that, sum of three consecutive natural numbers is $51$.

$\Rightarrow x+(x+1)+(x+2)=51$

$\Rightarrow 3x+3=51$

$\Rightarrow 3x+3-3=51-3$ [Subtracting 3 from both the sides]

$\Rightarrow 3x=48$

$\Rightarrow \frac{3x}{3}=\frac{48}{3}$ [Dividing both the sides by 3]

$\Rightarrow x=16$

$\Rightarrow x+1=16+1=17$

$\Rightarrow x+2=16+2=18$
Thus, the three natural numbers are $16,17$ and $18$.