The A.M. of two given positive numbers is 2. If the larger number isin – InterviewSolution

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1.	The A.M. of two given positive numbers is 2. If the larger number isincreased by 1, the G.M. of the numbers becomes equal to the A.M. of thegiven numbers. Then find the H.M.
Answer» Correct Answer - `3/2` Let a,b`(agtb)` be the two numbers. Given, `(a+b)/2=2` or a+b=4 (1) and `sqrt((a+1)b)=2` or (a+1)b=4 or `b^(2)-5b+4=0` [Using (1)] or b=1,4 But `bne4`, therefore, b=1, and hence a=3. Hence, harmonic mean, `H=(2xx3xx1)/(3+1)=3/2`

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