When a 3-digit number X is divided by 2,3,4,5,6and 7 respectively,all the remainders are 1.Find the number X...
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Maths難題(3-digit number)
2011-05-10 7:30 am
回答 (3)
2011-05-10 6:32 pm
✔ 最佳答案
The number can be 421 or 841. 
2011-05-10 9:06 pm
Yes , 841 is the other answer.
The general solution is 420k + 1 where k is an positive integer.
For X is a 3-digit number :
99 < 420k + 1 < 1000
k = 1 or 2.
So X = 420 + 1 = 421
or X = 420(2) + 1 = 841
The general solution is 420k + 1 where k is an positive integer.
For X is a 3-digit number :
99 < 420k + 1 < 1000
k = 1 or 2.
So X = 420 + 1 = 421
or X = 420(2) + 1 = 841
2011-05-10 9:36 am
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