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M06-30

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Math Expert
Joined: 02 Sep 2009
Posts: 52390

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15 Sep 2014, 23:28
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Difficulty:

15% (low)

Question Stats:

79% (00:28) correct 21% (00:29) wrong based on 112 sessions

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What is the value of $$6x^2 + 9y^2$$?

(1) $$x = 2$$

(2) $$6y^2 + 4x^2 = 22$$

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Math Expert
Joined: 02 Sep 2009
Posts: 52390

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15 Sep 2014, 23:28
Official Solution:

Statement (1) by itself is insufficient. S1 provides us with value of $$x$$ but no value for $$y$$.

Statement (2) by itself is sufficient. Multiply the second statement times 1.5: $$33 = 9y^2 + 6x^2$$.

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Joined: 02 Jun 2015
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01 Apr 2018, 09:07
Another way to solve 6x^2+9y^2 = ? manipulate factoring out 3 (2x^2 + 3y^2) = ?

1) x=2

Insufficient. We don't know anything about y.

2) 6y^2 + 4x^2 = 22

Divide everything by 2, then you'll have 3y^2 + 2x^2 = 11

Substitute 11 in the equation above, the answer is 33.

Thanks! Ale
Re: M06-30 &nbs [#permalink] 01 Apr 2018, 09:07
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