Let the numbers be x and y. Given,
\(\frac{X+Y}{2}\)= 6 \(\Rightarrow\) x + y = 12
4 (x – y) = 16 \(\Rightarrow\) 4x – 4y = 16
Multiplying equation (1) by 4 and adding to equation (2), we get
\(\Rightarrow\) x = \(\frac{64}{8}\)= 8
Putting x = 8 in (1), we get
8 + y = 12
\(\Rightarrow\) y = 12 – 8 = 4
\(\therefore\) The numbers are 8 and 4.
