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Charles’s and Sarah’s current ages are C years and S years, respective

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Bunuel
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Charles’s and Sarah’s current ages are C years and S years, respective [#permalink] New post   29 Oct 2019, 01:06
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Charles’s and Sarah’s current ages are C years and S years, respectively. If 6 years from now, Charles will be at least as old as Sarah was 2 years ago, which of the following must be true?

A. C + 6 < S − 2
B. C + 6 ≤ S + 2
C. C + 6 = S − 2
D. C + 6 > S − 2
E. C + 6 ≥ S − 2
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E
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BrentGMATPrepNow
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Re: Charles’s and Sarah’s current ages are C years and S years, respective [#permalink] New post   29 Oct 2019, 10:54
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Bunuel wrote:
Charles’s and Sarah’s current ages are C years and S years, respectively. If 6 years from now, Charles will be at least as old as Sarah was 2 years ago, which of the following must be true?

A. C + 6 < S − 2
B. C + 6 ≤ S + 2
C. C + 6 = S − 2
D. C + 6 > S − 2
E. C + 6 ≥ S − 2


C + 6 = Charles' age 6 years from now
S - 2 = Sarah's age 2 years ago

We're told that Charles' age (in 6 years) is AT LEAST AS BIG as Sarah's age (2 years ago)
In other words, Charles' age (in 6 years) is GREATER THAN OR EQUAL TO Sarah's age (2 years ago)
We can write: C + 6 ≥ S − 2

Answer: E

Cheers,
Brent
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Re: Charles’s and Sarah’s current ages are C years and S years, respective [#permalink] New post   29 Oct 2019, 11:13
Bunuel wrote:
Charles’s and Sarah’s current ages are C years and S years, respectively. If 6 years from now, Charles will be at least as old as Sarah was 2 years ago, which of the following must be true?

A. C + 6 < S − 2
B. C + 6 ≤ S + 2
C. C + 6 = S − 2
D. C + 6 > S − 2
E. C + 6 ≥ S − 2


Now : C & S

After 6 Years : C + 6 = S - 2

AMong the given options and as per the highlighted part of the question stem only (E) follows, hence Answer must be (E)
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Re: Charles’s and Sarah’s current ages are C years and S years, respective [#permalink] New post   09 Mar 2020, 04:39
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Bunuel wrote:
Charles’s and Sarah’s current ages are C years and S years, respectively. If 6 years from now, Charles will be at least as old as Sarah was 2 years ago, which of the following must be true?

A. C + 6 < S − 2
B. C + 6 ≤ S + 2
C. C + 6 = S − 2
D. C + 6 > S − 2
E. C + 6 ≥ S − 2


Six years from now, Charles will be C + 6 years old. Two years ago, Sarah was S - 2 years old. Finally, “at least as old as” means that Charles’ age in 6 years will be equal to or greater than what Sarah’s age was 2 years ago. Thus, C + 6 ≥ S - 2.

Answer: E
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Re: Charles’s and Sarah’s current ages are C years and S years, respective [#permalink]
09 Mar 2020, 04:39
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