In a set of three numbers, the average of first

Solution(By Apex Team)

$\begin{array}{l}\text{Let the numbers be x , y and z.}\\ \text{We are given that }\\ \Large\frac{x+y}{2}=2\\ \Large\frac{y+z}{2}=3\\ \Large\frac{x+z}{2}=4\\ \text{Adding three equations}\\ \Large\frac{x+y}{2}+\Large\frac{y+z}{2}+\Large\frac{x+z}{2}=2+3+4\\ x+y+z=9\\ \text{The average of the three numbers is,}\\ \Large\frac{x+y+z}{3}=\Large\frac{9}{3}=3\end{array}$