Question 157

A and B are two numbers. six times the 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?

Solution

A = 3x
B = 2x

6*(4$$x^2$$) = 9$$x^2$$ + 540
15$$x^2$$ = 540

$$x^2$$ =36

b = 12

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