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A) Quantity A is greater. B) Quantity B is greater. C) The two quantities are equal. D) The relationship cannot be determined from the information given.
A) Quantity A is greater. B) Quantity B is greater. C) The two quantities are equal. D) The relationship cannot be determined from the information given.
Key concept: Just because a/b = 3/7, does not mean a = 3 and b = 7 For example, if a = 12 and b = 28, then a/b = 12/28 = 3/7 Likewise, if a = -30 and b = -70, then a/b = -30/-70 = 3/7
Given the wide variety of possible values, it feels like the correct answer is D
So, let's test some possible values
case i: If \(\frac{a}{b}= \frac{3}{7} = \frac{c}{d}\), then it could be the case that a = 3, b = 7, c = 12 and d = 28: We get: Quantity A: \(a+d=3+28=31\) Quantity B: \(b+c=7+12=19\) In this case, Quantity A is greater
case ii: If \(\frac{a}{b}= \frac{3}{7} = \frac{c}{d}\), then it could be the case that a = 3, b = 7, c = -30 and d = -70: We get: Quantity A: \(a+d=3+(-70)=-67\) Quantity B: \(b+c=7+(-30)=-23\) In this case, Quantity B is greater
Re: Which is greater a+d or b+c
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16 Aug 2022, 05:05
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