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.

Question

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.

Answer 1

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