一個大過十的數字，除以3餘1
除以4餘2
除以5餘3
除以6餘4
這個數字是什麼
---FIVE--- 5分數學題
2006-10-30 6:37 am
回答 (4)
2006-10-31 2:51 pm
✔ 最佳答案
因以5餘3之關係,這個數的尾數必為3或0,又以4餘2及以6餘4,因雙數餘雙數,此數字之尾必為隻數,所以數尾必為8。即大過十的數字為﹕
18,28,38,48,58,68,78,88,98......
而乎合以上例件者之首個數為58。
2006-10-30 8:26 pm
58,118,178...(+60)
公因數,公倍數問題:
3,4,5,6L.C.M=60
60-2=58
公因數,公倍數問題:
3,4,5,6L.C.M=60
60-2=58
2006-10-30 6:28 pm
58
58/3=19...1
58/4=14...2
58/5=11...3
58/6=9...4
58/3=19...1
58/4=14...2
58/5=11...3
58/6=9...4
2006-10-30 6:50 am
58
=3*19+1
=4*14+2
=5*11+3
=6*9+4
notice that the remainder is always smaller than the divider by 2, so the answer would be LCF(3,4,5,6) - 2 = 60-2 = 58
=3*19+1
=4*14+2
=5*11+3
=6*9+4
notice that the remainder is always smaller than the divider by 2, so the answer would be LCF(3,4,5,6) - 2 = 60-2 = 58
收錄日期: 2021-04-13 15:17:51
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20061029000051KK05795