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Question Number 208962 by yaslm last updated on 29/Jun/24

Commented by Rasheed.Sindhi last updated on 29/Jun/24

Are all the digits in divisor,dividend and quotient different? Otherwise many many answers.

Areallthedigitsindivisor,dividendandquotientdifferent?Otherwisemanymanyanswers.

Commented by yaslm last updated on 29/Jun/24

complete from(0 to 9)

Commented by nikif99 last updated on 29/Jun/24

Please be more specific. There are 11 empty digits in the divisor, dividend and quotient. Cannot be all different.

Pleasebemorespecific.Thereare11emptydigitsinthedivisor,dividendandquotient.Cannotbealldifferent.

Answered by Rasheed.Sindhi last updated on 30/Jun/24

determinant (( , , , ,□,8,□,□),(□,(□)),□,□,□,□,□,□),( , ,□,□,□, , , ),( , , ,□,□,□, , ),( , , , ,□,□, , ),( , , , ,□,□,□, ),( , , , ,□,□,□, ),( , , , , , ,0, )) The above pattern is somewhat mismatched to that of the question. But I think it correct and my answer follows this. determinant (( , , , ,c,8,d,e),(a,(b)),□,□,□,□,□,□),( , ,□,□,□, , , ),( , , ,□,□,□, , ),( , , , ,□,□, , ),( , , , ,□,□,□, ),( , , , ,□,□,□, ),( , , , , , ,0, )) ab×8 is a 2-digit number ab×c is a 3-digit number. This follows that c>8⇒c=9 ab=12 (∵ 12×8 is 2-digit number and 12×9 is 3-digit number.) Numbers below 12 and above 12 haven′t this property Answer: determinant (( , , , ,9,8,9,0),(1,(2)),1,1,8,6,8,0),( , ,1,0,8, , , ),( , , ,1,0,6, , ),( , , , ,9,6, , ),( , , , ,1,0,8, ),( , , , ,1,0,8, ),( , , , , , ,0, )) ...

◻8◻◻◻◻)◻◻◻◻◻◻◻◻◻◻◻◻◻◻◻◻◻◻◻◻0Theabovepatternissomewhatmismatchedtothatofthequestion.ButIthinkitcorrectandmyanswerfollowsthis.c8deab)◻◻◻◻◻◻◻◻◻◻◻◻◻◻◻◻◻◻◻◻0ab×8isa2−digitnumberab×cisa3−digitnumber.Thisfollowsthatc>8⇒c=9ab=12(∵12×8is2−digitnumberand12×9is3−digitnumber.)Numbersbelow12andabove12haven′tthispropertyAnswer:989012)118680108106961081080...

Commented by nikif99 last updated on 30/Jun/24

this is quite different from initial post. Initial post has no solution for any digits, according the position of the cages. I will try this option.

thisisquitedifferentfrominitialpost.Initialposthasnosolutionforanydigits,accordingthepositionofthecages.Iwilltrythisoption.

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