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# N=abc, N with hundreds digit a, tens digit b and units digit c.

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Senior Manager
Joined: 25 Dec 2018
Posts: 487
Location: India
Concentration: General Management, Finance
GMAT Date: 02-18-2019
GPA: 3.4
WE: Engineering (Consulting)
N=abc, N with hundreds digit a, tens digit b and units digit c.  [#permalink]

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22 Jan 2019, 03:13
2
1
2
00:00

Difficulty:

55% (hard)

Question Stats:

54% (01:56) correct 46% (02:43) wrong based on 54 sessions

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N=abc, N with hundreds digit a, tens digit b and units digit c. If a+b+c=20, what is the value of b?

(1) The product of digits a and c is 18.
(2) b/c=1 and b>a
Director
Status: Manager
Joined: 27 Oct 2018
Posts: 682
Location: Egypt
GPA: 3.67
WE: Pharmaceuticals (Health Care)
Re: N=abc, N with hundreds digit a, tens digit b and units digit c.  [#permalink]

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22 Jan 2019, 04:51
2
mangamma wrote:
N=abc, N with hundreds digit a, tens digit b and units digit c. If a+b+c=20, what is the value of b?

(1) The product of digits a and c is 18.

(2) b/c=1 and b>a

Kudos for each explanation

(1) The product of digits a and c is 18.
the one-digit factor pairs for 18 are (2,9) or (3,6),
if (3,6) then b = 20 - 9 = 11 which is not valid because it should be one digit
if (3,6) then b = 20 - 11 = 9 #sufficient

(2) b/c=1 and b>a
it means a < b = c
the combinations can be (2,9,9), (4,8,8), (6,7,7)
no definite value #insufficient

so A
_________________
Thanks for Kudos
Intern
Joined: 10 Feb 2018
Posts: 31
GMAT 1: 550 Q46 V20
N=abc, N with hundreds digit a, tens digit b and units digit c.  [#permalink]

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22 Jan 2019, 07:09
1
(1) The product of digits a and c is 18.
the only possible pairs for 18 as product are 2,9 OR 3,6

If we have 3*6=18, then b would be 20 - (3+6) = 11 (impossible, B can only be a single digit)
Therefore 3,6 is not a valid pair of solution.
So from (i) we have only 1 possible set of values of b ie 20-(9*2)=2

(2) Now if b/c=1 and b>a
possible combinations can be 6,7,7; 4,8,8; and 2,9,9.
We do not get a definite value here. SO insufficient

so A
N=abc, N with hundreds digit a, tens digit b and units digit c.   [#permalink] 22 Jan 2019, 07:09
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