Maths

Assume N = 4x7x2 + 4x9x5 + 7x9 + 4x7x9x(k), where k is an integer.

So, when N is divided by 4, the remainder is 3；
when divided by 7, remainder is 5；when divided by 9, the remainder is 2.

Therefore, the number N is :
56 + 180 + 63 + 252k
= 47 + 252(k + 1)

In general, this number is (47 + 252n), where n is an integer.

2014-05-22 12:26:15 補充：
As N consists 4 terms, the 1st, 2nd, 4th terms are all divisible by 4, the 3rd term, 63,
will get a remainder 3 when divided by 4.
Similarly, the 1st, 3rd, 4th terms are all divisible by 7, the 2nd term, 180,
will get a remainder 5 when divided by 7.

2014-05-22 12:28:27 補充：
And, the 2nd, 3rd, 4th terms are all divisible by 9, the 1st term, 56,
will get a remainder 2 when divided by 9.
So, N is satisfied all the requirement of the question.

2014-05-22 13:19:58 補充：
聰明，你寫出的式是課題，餘式定理的課題。
因不知問者的程度，所以只好當這只是一條問題。可能是小學生奧數問題。

哈!

卡通有數碼暴龍

Math有數學暴龍

好野呀~!

暴雨兄回歸啦~

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2014-05-22 18:17:17 補充：
哈哈哈～
咁佢係咪暴龍？

數學暴龍？

Hi, I am a P4 student. 我有參加奧數。有些小四奧數題都有，我就是不懂 ...

多謝暴雨哥賜教﹗﹗﹗
雄兵哥也勁﹗﹗

2014-05-22 12:51:02 補充：
i think the pattern is
4 x 7 x __ + 7 x 9 x __ + 4 x 9 x __ + 4 x 7 x 9 x k

but the question is that what the "__" s are. you should keep trying until you get the proper remainder.

2014-05-22 15:17:29 補充：
又多一條龍喇 ^^，高手雲集，賜教﹗