If 3 (x - y) = 27 and 3 (x + y) = 243, then x is equal to: Options: A . &nbsp0 B . &nbsp2 C . &nbsp4 D . &nbsp6

Answer: Option C 3 x - y = 27 = 3 3 \(\Leftrightarrow \) x - y = 3 ....(i) 3 x + y = 243 = 3 5 \(\Leftrightarrow \) x + y = 5 ....(ii) On solving (i) and (ii), we get x = 4.

If 3(x - y) = 27 and 3(x + y) = 243, then x&n

Question

If 3^(x^- y) = 27 and 3^(x^+ y) = 243, then x is equal to:

Options:

A . 0

B . 2

C . 4

D . 6

Answer: Option C

3^x ^- ^y = 27 = 3³ \(\Leftrightarrow \) x - y = 3 ....(i)

3^x ⁺ ^y = 243 = 3⁵ \(\Leftrightarrow \) x + y = 5 ....(ii)

On solving (i) and (ii), we get x = 4.

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