SOLUTION: I am a 4 digit number with no two digits the same. My ones digit is twice my thousands digit and one less than my tens digit. My hundres digit is the difference between my tens dig

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Question 820893: I am a 4 digit number with no two digits the same. My ones digit is twice my thousands digit and one less than my tens digit. My hundres digit is the difference between my tens digit and my thousands digit. My thousands digit is an odd number less than 6. What number am I?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
I'll call the number abcd
(1) +d+=+2a+
(2) +d+=+c+-+1+
(3) +b+=+c+-+a+ ( I might have to change this to +b=+a-c+ )
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+a+ = 1,3, or 5
I'll say that +a+=+1+
-------------------
(1) +d+=+2%2A1+
(1) +d+=+2+
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(2) +2+=+c+-+1+
(2) +c+=+2+%2B+1+
(2) +c+=+3+
and
(3) +b+=+3+-+1+
(3) +b+=+2+
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+b+ and +d+ are both +2+, so
I have to try again
I'll say +a+=+3+
(1) +d+=+2%2A3+
(1) +d+=+6+
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(2) +6+=+c+-+1+
(2) +c+=+7+
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(3) +b+=+7+-+3+
(3) +b+=+4+
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This works. The number is +3476+
Read through the problem to check.
I think it's OK