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# help me find the 5-digit number!

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Form the greatest possible 5-digit number using the clues:

All five digits are different

None of the five digits are 1

The digit in the ten thousands place is greater than 7

The sum of all five digits is 18

The greatest digit is equal to the sum of the other four digits.

Feb 23, 2020

#1
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The largest such number =85,320.

Feb 23, 2020
#2
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Sorry! I missed the last clue. The largest such number would be:94320

Feb 23, 2020
#3
+108679
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All five digits are different

The digit in the ten thousands place is greater than 7         so it is 8 or 9

The sum of all five digits is 18,                                     others add to 10 or 9

The greatest digit is equal to the sum of the other four digits.     So the the biggest is 9 and the others add to 9

None of the five digits are 1                                                0+2+3+4=9

so the digits from biggest to smallest are   9,4,3,2,0

The biggest possible number is   94 320    just like guest said.

Feb 23, 2020