What is the trick here? | Mathematics | Page 1

harsh quarry Jul 17, 2024, 8:17 PM

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Positive integer m has a units digit of 3 and is divisible by 7 and 11. Positive integer n has a units digit of 8 and is divisible by 7 and 17. What is the least possible absolute difference between m and n?

junior topazBOT Jul 17, 2024, 8:17 PM

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harsh quarry Jul 17, 2024, 8:17 PM

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<@&286206848099549185>

gusty bridge Jul 17, 2024, 8:41 PM

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Hint: Chinese remainder thm

wispy heron Jul 17, 2024, 9:41 PM

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I have a possible solution

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in it the difference between m and n

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is 35

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where m would be 1463(7 times 11 times 19)

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and n would be 1428(7 times 17 times 12)

lost tapir Aug 8, 2024, 7:45 PM

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.close

#What is the trick here?