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Need expert advice Bunuel chetan2u

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Asked: What are the values of integers a,b and c ?

(1) ab= 8
c is unknown
NOT SUFFICIENT

(2) bc= 9
a is unknown
NOT SUFFICIENT

(1) + (2)
(1) ab= 8
(2) bc= 9
If b=1; a=8; c=9
But if b=-1; a=-8; c=-9
NOT SUFFICIENT

IMO E
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kawal27
Need expert advice Bunuel chetan2u

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Hi

clearly each statement individually is insufficient since each deals with just two variables and that as a product of the two variables.
Thus answer has to be C or E.

Let us take both statements combined
ab=8 and bc=9
We can easily see that all can be negative or all can be positive so E.

bc=9 tells us that both b and c are odd integers
But ab=8=1*8=2*4, so only odd value for b is 1. However bc=1*8=-1*-8, so b can be -1 also.
b=1, then a=8 and c=9, while if b=-1, a=-8 and c=-9.

Different values possible.
Insufficient

E
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