Question

The sum of three consecutive numbers is $159$. Find the numbers

Answer 1

Let the first number be $x$

Second will be $x+1$

Third will be $x+2$

The sum of three consecutive numbers is $159$

$$\begin{gathered} x+x+1+x+2=159 \\ 3x+3=159 \\ 3x=159-3 \\ 3x=156 \\ x=\frac{{\displaystyle \stackrel{52}{\cancel{156}}}}{\cancel{3}} \\ \therefore x=52 \end{gathered}$$

First number $x=52$

Second number $=52+1=53$

Third number $=52+2=54$

Hence the consecutive numbers are $52,53and54.$