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If 3(x-y) = 27 and 3(x+y) = 243, then x is equal to = ?
Answer & Solution
Correct Answer:
Option
C
$$\eqalign{
& {{\text{3}}^{x - y}} = 27 = {3^3} \cr
& \Leftrightarrow x - y = 3........(i) \cr
& {3^{x + y}} = 243 = {3^5} \cr
& \Leftrightarrow x + y = 5........(ii) \cr
& {\text{On solving (i) and (ii) ,}} \cr
& {\text{we get }}x = 4 \cr} $$
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