math puzzle: 4 digit number times 3
$begingroup$
A four-digit number $overline{abcd}$, and a five-digit number $overline{efghi}$, where $a,b, c, ..., i$ are from 1-9 and are distinct. We have
$overline{abcd}*3=overline{efghi}$.
What are $a, b, ..., i$?
What I have tried: I can deduce that $overline{efghi}$ must be divisible by 9, but then the enumeration does not give the answer? Can this hold at all?
puzzle
asked Dec 23 '18 at 21:27
maomaomaomao
27218
$endgroup$
add a comment |
$begingroup$
A four-digit number $overline{abcd}$, and a five-digit number $overline{efghi}$, where $a,b, c, ..., i$ are from 1-9 and are distinct. We have
$overline{abcd}*3=overline{efghi}$.
What are $a, b, ..., i$?
What I have tried: I can deduce that $overline{efghi}$ must be divisible by 9, but then the enumeration does not give the answer? Can this hold at all?
puzzle
asked Dec 23 '18 at 21:27
maomaomaomao
27218
$endgroup$
add a comment |
$begingroup$
A four-digit number $overline{abcd}$, and a five-digit number $overline{efghi}$, where $a,b, c, ..., i$ are from 1-9 and are distinct. We have
$overline{abcd}*3=overline{efghi}$.
What are $a, b, ..., i$?
What I have tried: I can deduce that $overline{efghi}$ must be divisible by 9, but then the enumeration does not give the answer? Can this hold at all?
puzzle
asked Dec 23 '18 at 21:27
maomaomaomao
27218
$endgroup$
A four-digit number $overline{abcd}$, and a five-digit number $overline{efghi}$, where $a,b, c, ..., i$ are from 1-9 and are distinct. We have
$overline{abcd}*3=overline{efghi}$.
What are $a, b, ..., i$?
What I have tried: I can deduce that $overline{efghi}$ must be divisible by 9, but then the enumeration does not give the answer? Can this hold at all?
puzzle
puzzle
asked Dec 23 '18 at 21:27
maomaomaomao
27218
asked Dec 23 '18 at 21:27
maomaomaomao
27218
asked Dec 23 '18 at 21:27
maomaomaomao
27218
asked Dec 23 '18 at 21:27
maomaomaomao
27218
asked Dec 23 '18 at 21:27
maomaomaomao
27218
27218
add a comment |
add a comment |
1 Answer
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$begingroup$
By exhaustive search there are two solutions:
$$5823cdot 3 = 17469$$
$$5832cdot 3 = 17496$$
answered Dec 23 '18 at 21:35
orlporlp
7,5791433
$endgroup$
add a comment |
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1 Answer
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1 Answer
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$begingroup$
By exhaustive search there are two solutions:
$$5823cdot 3 = 17469$$
$$5832cdot 3 = 17496$$
answered Dec 23 '18 at 21:35
orlporlp
7,5791433
$endgroup$
add a comment |
$begingroup$
By exhaustive search there are two solutions:
$$5823cdot 3 = 17469$$
$$5832cdot 3 = 17496$$
answered Dec 23 '18 at 21:35
orlporlp
7,5791433
$endgroup$
add a comment |
$begingroup$
By exhaustive search there are two solutions:
$$5823cdot 3 = 17469$$
$$5832cdot 3 = 17496$$
answered Dec 23 '18 at 21:35
orlporlp
7,5791433
$endgroup$
By exhaustive search there are two solutions:
$$5823cdot 3 = 17469$$
$$5832cdot 3 = 17496$$
answered Dec 23 '18 at 21:35
orlporlp
7,5791433
answered Dec 23 '18 at 21:35
orlporlp
7,5791433
answered Dec 23 '18 at 21:35
orlporlp
7,5791433
answered Dec 23 '18 at 21:35
orlporlp
7,5791433
7,5791433
add a comment |
add a comment |
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