Henry Ernest Dudeney/Puzzles and Curious Problems/170 - The Six Noughts

by : $170$
A    B     C  111   111   100 333  333   000  555   500   005  777   077   007  999   999   999 2775  1111  1111
 * The Six Noughts
 * Write down the little addition sum $A$, which adds up to $2775$.
 * Now substitute $6$ noughts for $6$ of the figures, so that the total sum shall be $1111$.
 * It will be seen that in the case $B$ five noughts have been susbtituted, and in the case $C$ nine noughts.
 * But the puzzle is to do it with six noughts.