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#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here. ### Request Expert Reply # If x = a + 2 and b = x + 1, then which one of the following must be tr

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Math Expert V
Joined: 02 Sep 2009
Posts: 55228
If x = a + 2 and b = x + 1, then which one of the following must be tr  [#permalink]

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Difficulty:   15% (low)

Question Stats: 89% (00:51) correct 11% (03:11) wrong based on 18 sessions

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If x = a + 2 and b = x + 1, then which one of the following must be true?

(A) $$a > b$$

(B) $$a < b$$

(C) $$a = b$$

(D) $$a = b^2$$

(E) $$a = b^3$$

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Intern  B
Joined: 23 Sep 2018
Posts: 2
Re: If x = a + 2 and b = x + 1, then which one of the following must be tr  [#permalink]

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a= x-2
b=x+1

Since no constraint on the value of x picking test values (+ve, 0, -ve, fraction)

For +ve : x = 3 -> a = 1 & b =4 -> a<b
For 0 : a<b
For -ve : x = -5 -> a = (-7) & b = (-4) -> a<b
For fraction : x = 1/2 -> a = -1.5 & b = 3.5 -> a<b

IMO Answer: B
CEO  P
Joined: 18 Aug 2017
Posts: 3505
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: If x = a + 2 and b = x + 1, then which one of the following must be tr  [#permalink]

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Bunuel wrote:
If x = a + 2 and b = x + 1, then which one of the following must be true?

(A) $$a > b$$

(B) $$a < b$$

(C) $$a = b$$

(D) $$a = b^2$$

(E) $$a = b^3$$

we can say
b=a+3
b-a=3
so B>A
IMO B
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If you liked my solution then please give Kudos. Kudos encourage active discussions. Re: If x = a + 2 and b = x + 1, then which one of the following must be tr   [#permalink] 08 Apr 2019, 00:44
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# If x = a + 2 and b = x + 1, then which one of the following must be tr

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