请问大家这题怎么做:

2025-01-05 15:02:09
推荐回答(2个)
回答1:

依题意得:

用逆推法,最终3人邮票数目相同,则设最终每人邮票数目为n

先由题设“最后丙又又拿出自己现有邮票的一半平分给甲、乙”,可知,在这之前:丙邮票数目为2n(计算过程:n/0.5=2n),甲和乙邮票数目均为0.5n(计算过程:n/2=0.5n,n-0.5n=0.5n)

然后由题设“然后乙也拿出自己现有的邮票的一半分给甲、丙”,可知,在这之前:乙邮票数目为n(计算过程:0.5n/0.5=n),甲邮票数目为0.25n(计算过程:0.5n/2=0.25n,0.5n-0.25n=0.25n),丙邮票数目为1.75n(计算过程:0.5n/2=0.25n,2n-0.25n=1.75n)

最后由题设“甲先拿出自己的一半平分给乙、丙”,可知,在这之前:甲邮票数目为0.5n(计算过程:0.25n/0.5=0.5n),乙邮票数目为0.875n(计算过程:0.25n/2=0.125n,n-0.125n=0.875n),丙邮票数目为1.625n(计算过程:0.25n/2=0.125n,1.75n-0.125n=1.625n)

又因为邮票数目应为正整数,所以n只能是16的整倍数,也就是设n=16m,即甲邮票原来有0.5n=8m,乙邮票原来有0.875n=14m,丙邮票原来有1.625n=26m,m为正整数。

上面的解法是算术解法,而不是列方程的解法。因为你的题目没有明确数字,所以答案不是唯一的,比如:
甲:8,乙:14,丙:26
甲:16,乙:28,丙:52
甲:24,乙:42,丙:78
等等都是答案。
所以答案是甲邮票原来有8m,乙邮票原来有14m,丙邮票原来有26m,m为正整数。(只要符合m∈N+,都为答案)

回答2:

111111111111111111111111111111

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