Two positive numbers x and y such that (x+y)=60 and xy^3 is maximum, then the numbers are respectively

MHT CET 2022 Mathematics question

Two positive numbers x and y such that and is maximum, then the numbers are respectively

Answer: (A)

Let with : . , so at ; is negative at (), so this is a maximum. Then and : the numbers are 15 and 45 (maximum value ). The

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Question ID VK-093592