1) If $3^{(x-y)}=27 $ and $3^{(x+y)}=243 $, then x is equal to? A) 0 B) 2 C) 4 D) 6 Answer: Option CExplanation:$3^{x-y}=27=3^{3}$ $\Leftrightarrow x-y=3$ $3^{x+y}=243=3^{5}$ $\Leftrightarrow x+y=5$ On solving these equations, we get x = 4.
