A and B are two numbers. 6 times of square of B is 540 more than the square of A. If the respective ratio between A and B is 3:2, what is the value of B?
$$ 6 B ^ 2 - 540 = A ^ 2 $$
A : B = 3:2
A = 3B/2
$$ 6 B ^ 2 - 540 = \frac{9B^2}{4} $$
Solving for B, we get B = 12
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