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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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Math Expert
Joined: 02 Sep 2009
Posts: 59587
If x = a + 2 and b = x + 1, then which one of the following must be tr  [#permalink]

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07 Apr 2019, 21:11
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5% (low)

Question Stats:

92% (00:53) correct 8% (03:11) wrong based on 24 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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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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07 Apr 2019, 21:33
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

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Re: If x = a + 2 and b = x + 1, then which one of the following must be tr  [#permalink]

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08 Apr 2019, 00:44
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
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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