Official solution
Given ten numbers are 10, 22, 26, 29, 34, x,
42, 67, 70, y.
As the numbers are in increasing order so
Mediun = \[{{34 + x} \over 2}\] = 35
\[ \Rightarrow \] x = 36
Also given mean = 42
\[ \Rightarrow \] \[{{10 + 22 + 26 + 29 + 34 + x + 42 + 67 + 70 + y} \over {10}}\] = 42
\[ \Rightarrow \] \[{{300 + x + y} \over {10}}\] = 42
\[ \Rightarrow \] 300 + x + y = 420
\[ \Rightarrow \] 336 + y = 420
\[ \Rightarrow \] y = 84
\[ \therefore \] \[{y \over x} = {{84} \over {36}}\] = \[{7 \over 3}\]