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a number of soilders when divided into groups of three,five or seven,will give a remainder of 2.(a)what is the least number of soldiers?(b)if there were about 3000 soldiers,then find its actual number.
题目详情
a number of soilders when divided into groups of three,five or seven,will give a remainder of 2.
(a)what is the least number of soldiers?
(b)if there were about 3000 soldiers,then find its actual number.
(a)what is the least number of soldiers?
(b)if there were about 3000 soldiers,then find its actual number.
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答案和解析
a.3,5,7的最小公倍数是105,余数为2,故105+2=107
The least number of soldiers is 107
b.3000/105 在28-29之间
28x105+2=2942
29x105+2=3047
3047更接近3000,所以the actual number is 3047
The least number of soldiers is 107
b.3000/105 在28-29之间
28x105+2=2942
29x105+2=3047
3047更接近3000,所以the actual number is 3047
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