1. 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?
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By: anil on 05 May 2019 01.15 am
$$ 6 B ^ 2 - 540 = A ^ 2 $$ 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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Solving for B, we get B = 12