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  3. Simon had a bag of sweets. When he tried to divide the sweets into three piles h

Simon had a bag of sweets. When he tried to divide the sweets into three piles h

游客2024-08-12  31
问题 Simon had a bag of sweets. When he tried to divide the sweets into three piles he had one left over. ’The same thing happened when he tried to divide them into four, five and six piles. However, when he split them into seven piles there were none left over. How many sweets did he start with?
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答案 301
解析 (求出3、4、5、6的最小公倍数，是60。列出不定方程60x+1=7y。x=1、2、3…依次带人。X=5时，Y=43。5*60+l=301。)
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