JEE Advanced Mathematics question

MathematicsSequence and SeriesJEE Advanced

The AM of two given positive numbers is 2. If the larger number is increased by 1, the GM of the numbers becomes equal to the AM of the given numbers. Then the HM of the given numbers is

Answer: (A)

Solution

Let the numbers be . Then and , i.e. . Substituting : $(5-b)b=4⇒

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Question ID VK-107814