document.write( "Question 917967: What is the smallest whole number you can make whose digits are all different numbers and the sum of the digits is 21 \n" ); document.write( "

Algebra.Com's Answer #556859 by KMST(5328) $\"\"$ $\"About$

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I will need at least 3 digits because $\"8%2B9=17%3C21\"$ is the greatest number than I can make with just 2 different digits.
\n" ); document.write( "Since the same digit has a value 10 times greater than the same digit to its right,
\n" ); document.write( "we want to make the first and second digits as small as possible, at the expense of increasing the digits to their right.
\n" ); document.write( "As a consequence we would make the last digits 89,
\n" ); document.write( "with $\"8%2B9=17\"$ ,which would require a $\"21-17=4\"$ for a hundreds digit.
\n" ); document.write( "So, the smallest whole number you can make whose digits are all different numbers and the sum of the digits is 21, is $\"highlight%28489%29\"$ . \n" ); document.write( "

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