What is the smallest number that can be formed from 4 different digits whose sum is 23?
Write the smallest number (1) in the thousands place. (Do not include 0, since it is the first digit.) Write the greatest number (9) in the units place.
The sum of the digits so far is . To get a total sum of 23, the middle two place values must have a sum of .
Try the next smallest numbers in the hundreds place. The numbers 2, 3, or 4 will not work in the hundreds place, because it is not possible to make a sum of 13 with another 1-digit number that we have not already used. So, write the number 5 in the hundreds place.
Since , put the number 8 in the tens place:
So, the smallest number from 4 different digits with a sum of 23 is .
Add the digits to check your work: .