SOLUTION: Hello, I need help with this from the clues,work out the number that fits into the boxes (I have 5 empty boxes) 1. all digits are different 2. the first digit is odd and la

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Question 940253: Hello, I need help with this
from the clues,work out the number that fits into the boxes
(I have 5 empty boxes)
1. all digits are different
2. the first digit is odd and larger than the third digit
3. the fourth digit is three times the first
4. the final digit is the product of the second and third digit
thank you

Found 2 solutions by MathLover1, Edwin McCravy:
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

the first digit is : could be ,,,,
the first digit is than the digit ...could be ,,, so, first digit is
since the first digit is larger than the third digit, then the third digit is (looking at ,, it is )
the fourth digit is three times the first...so, it could be only because

the final digit is the of the second and third digit .... remaining digits that could be the second digit are ,,, and , and only product that gives us digit number using third digit is because and the rest is same
so, the second digit is and the final digit is
then we have all digits to place in empty boxes:
the first digit is
the second digit is
the third digit is
the fourth digit is
the final digit is

Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
_ _ _ _ _

2. the first digit is odd and larger than the third digit
3. the fourth digit is three times the first
That narrows it down to these four:

1 _ 0 3 _,   3 _ 2 9 _,  3 _ 1 9 _,  3 _ 0 9 _

1. all digits are different
4. the final digit is the product of the second and third digit
That rules out the 3rd digit being 0 or 1 for in either case it 
would make the final digit be the same as the 3rd digit, but they 
are all different. So we have

3 _ 2 9 _ 

4.   the final digit is the product of the second and third digit

The only digit not used that we can multiply by third digit 2 and 
get a different final digit is 4, and we get 4x2 = 8 for the final
digit. 

Answer: 3 4 2 9 8

Edwin



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