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# If |a/c b/d| = ad-bc for all numbers, a, b, c, and d, then 3/-2 5/4

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Math Expert
Joined: 02 Sep 2009
Posts: 55277
If |a/c b/d| = ad-bc for all numbers, a, b, c, and d, then 3/-2 5/4  [#permalink]

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15 Sep 2018, 03:41
00:00

Difficulty:

5% (low)

Question Stats:

96% (00:45) correct 4% (00:30) wrong based on 51 sessions

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If $$|\frac{a}{c} \frac{b}{d}|=ad-bc$$ for all numbers, a, b, c, and d, then $$|\frac{3}{-2} \frac{5}{4}|=ad-bc$$

A. -22

B. -2

C. 2

D. 7

E. 22

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Math Expert
Joined: 02 Aug 2009
Posts: 7688
Re: If |a/c b/d| = ad-bc for all numbers, a, b, c, and d, then 3/-2 5/4  [#permalink]

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15 Sep 2018, 04:53
1
Bunuel wrote:
If $$|\frac{a}{c} \frac{b}{d}|=ad-bc$$ for all numbers, a, b, c, and d, then $$|\frac{3}{-2} \frac{5}{4}|=ad-bc$$

A. -22

B. -2

C. 2

D. 7

E. 22

$$|\frac{a}{c} \frac{b}{d}|=ad-bc$$ =$$|\frac{3}{-2} \frac{5}{4}|=3*4-5*(-2)=12+10=22$$

E
_________________
Re: If |a/c b/d| = ad-bc for all numbers, a, b, c, and d, then 3/-2 5/4   [#permalink] 15 Sep 2018, 04:53
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