Henry Ernest Dudeney/Puzzles and Curious Problems/112 - Simple Division/Mistake

From ProofWiki
Jump to navigation Jump to search

Source Work

1932: Henry Ernest Dudeney: Puzzles and Curious Problems:

Arithmetical and Algebraical Problems
Digital Puzzles
$112$ -- Simple Division

1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems:

Arithmetical and Algebraical Problems
Skeleton Puzzles
$149$ -- Simple Division


Mistake

Divide $4,971,636,104$ by $124,972$, and the quotient is $39,782$.


There are three further solutions which Dudeney did not find:

Solution $2$

             19781
       -----------
 124974)2472110694
        124974
        -------
        1222370
        1124766
        -------
          976046
          874818
          -------
          1012289
           999792
          --------
            124974
            124974
            ------


Solution $3$

             19782
       -----------
 124972)2472195104
        124972
        -------
        1222476
        1124748
        -------
          977281
          874804
          -------
          1024770
           999776
          --------
            249944
            249944
            ------


Solution $4$

$124 \, 974 \times 39 \, 781 = 4 \, 971 \, 590 \, 694$ 

             39781
       -----------
 124974)4971590694
        374922
        -------
        1222370
        1124766
        -------
          976046
          874818
          -------
          1012289
           999792
          --------
            124974
            124794
            ------


Sources

Retrieved from "https://proofwiki.org/w/index.php?title=Henry_Ernest_Dudeney/Puzzles_and_Curious_Problems/112_-_Simple_Division/Mistake&oldid=562392"