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Question

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If 53-5×5311=538x, then x = ?

(a) -12
(b) -34
(c) 34
(d) 43

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Solution

(c) 34

53-5×5311=538x
53-5+11=538x [ since am×an=am+n]
536=538x
On equating the coefficients:
6 = 8x
∴ x = 68=34

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