Asked by Kim
Find a positive integer smaller than 500 that has a remainder of 3 when divided by 5, a remainder of 6 when divided by 9, and a remainder of 8 when divided by 11.
Answers
Answered by
drwls
The answer must appear on all these lists:
498, 493, 488, 483,... 13, 8, 3.
492, 483, 474, 465,... 24, 15, 6.
492, 481, 470, 459,... 30, 19, 8.
It must end in 8 or 3 to be on the first list.
Numbers in the second list that end in 8 or 3 are:
483, 438, 393, 348, 303, 258, 213, 168, 123, 78, 33.
Numbers on the third list that end in 3 or 8 are:
448, 393, 338, 283, 228, 173, 118, 63, 8
393 is the only number on all lists.
This is rather a "brute force" method, but it works.
498, 493, 488, 483,... 13, 8, 3.
492, 483, 474, 465,... 24, 15, 6.
492, 481, 470, 459,... 30, 19, 8.
It must end in 8 or 3 to be on the first list.
Numbers in the second list that end in 8 or 3 are:
483, 438, 393, 348, 303, 258, 213, 168, 123, 78, 33.
Numbers on the third list that end in 3 or 8 are:
448, 393, 338, 283, 228, 173, 118, 63, 8
393 is the only number on all lists.
This is rather a "brute force" method, but it works.
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.