A F C G H / D E = A B C
D E
-----
I D G
I C D
-----
F J H
F G A
-----
J BIdentify the numbers.
At the outset, we note that:
DE*A=DE
=> A=1
Then, the simultaneous cryptarithmetic equations:
DE*B=ACD, DE*C=FGA, AFC-DE=ID,IDG-536=FJ, FGH-FCA=JB with A=1 solves as:
D E B C F I G J H
6 7 8 3 2 5 0 4 9
Therefore summarizing, we have:
A=1, D=6, E=7, B=8, C=3, F=2, I=5, G=0, J=4, and H=9
and, the required long division is:
6 7) 1 2 3 0 9 ( 1 8 3
6 7
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5 6 0
5 3 6
------------
2 4 9
2 0 1
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4 8
*** I have not yet been successful in driving a semi-analytic solution on my own. I will posit the soon as soon my efforts in that direction reach fruition.
Edited on June 2, 2022, 2:34 am
Online Solver Based Puzzle Solution
