Question

Let a and b be two real numbers

Answer 1

Just real numbers

Answer 2

my answer was for positive real numbers
i will try for all real numbers

Answer 3

@ toogoo131
\[the \ answer \ is \ \frac{a+b+\left| a-b \right|}{2} \\ \]

Answer 4

\[if \ a >b \ \ \ \ \ \frac{a+b+\left| a-b \right|}{2}=\frac{a+b+a-b}{2}=\frac{2a}{2}=a \\ if \ b >a \ \ \ \ \ \frac{a+b+\left| a-b \right|}{2}=\frac{a+b+b-a}{2}=\frac{2b}{2}=b\]