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# If a and b are nonzero integers, what is the value of ab?

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Math Expert
Joined: 02 Sep 2009
Posts: 49496
If a and b are nonzero integers, what is the value of ab?  [#permalink]

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03 Oct 2017, 00:03
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19% (01:10) correct 81% (01:17) wrong based on 31 sessions

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If a and b are nonzero integers, what is the value of ab?

(1) a = ab – 1
(2) a + b = 3

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Re: If a and b are nonzero integers, what is the value of ab?  [#permalink]

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03 Oct 2017, 00:30
Bunuel wrote:
If a and b are nonzero integers, what is the value of ab?

(1) a = ab – 1
(2) a + b = 3

Question : ab = ?

STatement 1: a = ab – 1

i.e. ab - a = 1
i.e. a(b-1) = 1
product of two integers will be 1 only if either both are 1 or both are -1
Case 1: a= -1 and b-1 = -1
i.e. a = -1 and b = 0 NOT POSSIBLE as both a and b are non-zero

Case 2: a= 1 and b-1 = 1
i.e. a = 1 and b = 2
i.e. ab = 2
SUFFICIENT

Statement 2: a + b = 3
There are multiple solutions such as
a = 1 and b = 2 or
a = -1 and b = 4
NOT SUFFICIENT

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Re: If a and b are nonzero integers, what is the value of ab? &nbs [#permalink] 03 Oct 2017, 00:30
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# If a and b are nonzero integers, what is the value of ab?

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