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The age of three friends Amar, Akbar and Anthony is (x-8) years, (x+4) years and (x+6) years resp. Find the age of Akbar.
Statement I: The average age of Amar and Akbar taken together is (x-17) years less than the average age of Akbar and Anthony taken together.
Statement II: The average age of Amar and Akbar taken together is 7 years less than the average age Akbar and Anthony taken together.
Only Statement I
From I: [(x-8) + (x+4)]/2 = [(x+4) + (x+6)]/2 – (x-17) => x = 24 Average age of Akbar = 24 + 4 = 28 years This statement alone is sufficient. From II: [(x-8) + (x+4)]/2 = [(x+4) + (x+6)]/2 – 7 This cannot solve the question.
Hence, option 5 is the correct answer.
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