数学题:甲、乙各存款若干元
- 时间:2020-05-13 15:00:54
- 分类:数学世界
- 阅读:101 次
数学题:甲、乙各存款若干元,甲拿了存款的1\5给乙后,乙再拿出现有存款的1\4给甲。这时他们都有180元。他们原来各有存款多少元?
数学题解答:此题仍然可用倒推法解答。而两人钱的总数是不变的,两人一共有:180×2=360(元)
“乙再拿出现有存款的1\4给甲后”,乙有180元,说明乙在给甲之前应有:
180÷(1 – 1/4)=240(元)
甲此时应有:360 – 240 = 120(元)
“甲拿了存款的1\5给乙后”,甲的钱变成120元,在给之前甲有:
120÷(1 – 1/5)=150(元)
此时乙有:360 – 150 = 210(元)
答:甲原来有存款150元,乙原来有存款210元。
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