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If, in the addition problem above, a, b, c, d, e, f, x, y, a [#permalink]
 18 Aug 2008, 10:21
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a b c
d e f
-----
x y z
If, in the addition problem above, a, b, c, d, e, f, x, y, and z each represent different positive single digits, what is the value of z ?
(1) 3a = f = 6y
(2) f – c = 3
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Re: DS - addition problem [#permalink]
18 Aug 2008, 10:26
sarzan wrote: a b c
d e f
-----
x y z
If, in the addition problem above, a, b, c, d, e, f, x, y, and z each represent different positive single digits, what is the value of z ?
(1) 3a = f = 6y
(2) f – c = 3 C Need to know c and f. (1) Insufficient y = 1 (anything greater than that, and f is a double digit number) f = 6 a = 2 (2) Insufficient f could 3-9, c could be 0-6. (1) and (2) Sufficient f = 6 6 - c = 3 c = 3
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Re: DS - addition problem [#permalink]
18 Aug 2008, 10:42
sarzan wrote: zoinnk wrote: sarzan wrote: a b c
d e f
-----
x y z
If, in the addition problem above, a, b, c, d, e, f, x, y, and z each represent different positive single digits, what is the value of z ?
(1) 3a = f = 6y
(2) f – c = 3 C Need to know c and f. (1) Insufficient y = 1 (anything greater than that, and f is a double digit number) f = 6 a = 2 (2) Insufficient f could 3-9, c could be 0-6. (1) and (2) Sufficient f = 6 6 - c = 3 c = 3 No, thats not it. Sorry, I didn't read the question carefully. I didn't see that the numbers are distinct. A In that case: 2 b c d e 6 ----- x 1 z The only possibilities that work are: 2 7 3 5 4 6 ----- 8 1 9 or 2 4 3 5 7 6 ----- 8 1 9
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Re: DS - addition problem [#permalink]
18 Aug 2008, 10:53
[/quote]
Sorry, I didn't read the question carefully. I didn't see that the numbers are distinct.
A
In that case:
2 b c
d e 6
-----
x 1 z
The only possibilities that work are:
2 7 3
5 4 6
-----
8 1 9
or
2 4 3
5 7 6
-----
8 1 9[/quote]
But why did you pick y=1?
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Re: DS - addition problem [#permalink]
18 Aug 2008, 11:23
sarzan wrote:
Sorry, I didn't read the question carefully. I didn't see that the numbers are distinct.
A
In that case:
2 b c
d e 6
-----
x 1 z
The only possibilities that work are:
2 7 3
5 4 6
-----
8 1 9
or
2 4 3
5 7 6
-----
8 1 9
But why did you pick y=1?
I explained that in my first post: y = 1 (anything greater than that, and f is a double digit number) f = 6 a = 2
Last edited by zoinnk on 18 Aug 2008, 12:42, edited 2 times in total.
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Re: DS - addition problem
[#permalink]
18 Aug 2008, 11:23
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