A and B are positive acute angles such that 2B=3 ^2A and 3 2A=2 2B. What is the value of (A+2B)?

NDA 2020 Mathematics question

A and B are positive acute angles such that and . What is the value of ?

Answer: (D)

$(A+2B) = A2B- A2B = A(3A)- A·322A = 3A

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Question ID VK-029195