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r, s, and t are three consecutive odd integers such that

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r, s, and t are three consecutive odd integers such that [#permalink] New post 01 Dec 2015, 06:54
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r, s, and t are three consecutive odd integers such that r < s < t.

Quantity A
Quantity B
r + s + 1
s + t − 1


A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.


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Question: 5
Page: 145
Difficulty: easy
[Reveal] Spoiler: OA

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Re: r, s, and t are three consecutive odd integers such that [#permalink] New post 01 Dec 2015, 06:58
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Solution

Just pick 3 consecutive odd numbers such that the according stem condition

\(3 < 5 < 7\)

\(3+5+1=9\)

\(7+5-1=11\)

Answer is \(B\)
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Re: r, s, and t are three consecutive odd integers such that [#permalink] New post 02 Dec 2015, 00:01
Would the answer to the above change if the integers were negative? If r s and t are -3 -5 and -7, the relationship would be indeterminable.
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Re: r, s, and t are three consecutive odd integers such that [#permalink] New post 02 Dec 2015, 09:53
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wumzy wrote:
Would the answer to the above change if the integers were negative? If r s and t are -3 -5 and -7, the relationship would be indeterminable.


Hi,

what you are saying is incorrect

The odd numbers \(must\) be consecutive \(AND\) adhere to the condition you have \(r < s < t\)

Which means that if \(r = -5\) on the numebr line \(s\) must be equal to \(-3\) and \(t\) must be equal to \(-1\)

As such, \(-5 - 3 +1 = -7\) and \(-3 -1 -1 = -5\). Therefore \(-7 < -5\)

Quantity \(A < B\)

\(B\) is the answer

Hope this helps
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Re: r, s, and t are three consecutive odd integers such that [#permalink] New post 14 Jul 2016, 13:15
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Carcass wrote:
r, s, and t are three consecutive odd integers such that r < s < t.

Quantity A
Quantity B
r + s + 1
s + t − 1




Another approach:

If r, s, and t are three consecutive ODD integers such that r < s < t, then we can say that...
s = r + 2
t = r + 4

So, let's take the quantities and replace s and t with r + 2 and r + 4.
We get:

Quantity A: r + (r + 2) + 1
Quantity B: (r + 2) + (r + 4) - 1

Simplify to get:
Quantity A: 2r + 3
Quantity B: 2r + 5

Subtract 2r from both to get:
Quantity A: 3
Quantity B: 5

Answer:
[Reveal] Spoiler:
B

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Re: r, s, and t are three consecutive odd integers such that   [#permalink] 14 Jul 2016, 13:15
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