Correct Answer - D
Given,
`(sqrt(3))^(x+y)=9` and `(sqrt(2))^(x-y)=32`
`implies 3^((x+y)/2)=3^(2)` and `2^((x-y)/2)=2^(5)`
`implies (x+y)/2=2` and `(x-y)/2=5`
`implies x+y=4` (1)
and `x-y=10` (2)
Solving (1) and (2), we get
`x=7` and `y=-3`
Now, `2x+y=2(7)-3=11`.
