英语翻译The product（乘积）of the HCF(最大公约数) and LCM(最小公倍数) of two numbers is 384 .If one number is 8 more than the other number ,then the sum of the two numbers is _______.

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英语翻译Theproduct（乘积）oftheHCF(最大公约数)andLCM(最小公倍数)oftwonumbersis384.Ifonenumberis8morethantheothernumber

英语翻译The product（乘积）of the HCF(最大公约数) and LCM(最小公倍数) of two numbers is 384 .If one number is 8 more than the other number ,then the sum of the two numbers is _______.
英语翻译
The product（乘积）of the HCF(最大公约数) and LCM(最小公倍数) of two numbers is 384 .If one number is 8 more than the other number ,then the sum of the two numbers is _______.

英语翻译The product（乘积）of the HCF(最大公约数) and LCM(最小公倍数) of two numbers is 384 .If one number is 8 more than the other number ,then the sum of the two numbers is _______.
两数的最大公约数和最小公倍数的乘积为384.如果一个数比另一个数大8,那么这两个数的和是_______?
先找最大公约数和最小公倍数这两个数.
乘积为384,可知这两个数均为两位数.
而384的个位数是4,那么从乘法口诀中找到,两个数相乘得4的组合只有几种：1×4和4×6和3×8 和2×7和8×8和6×9 也就是这两个数的个位数字只有这些组合.经过试验,只有16和24符合.
∴最大公约数和最小公倍数是16和 24.
接下来有个问题,题目中一个数比另外一个数多8,我的看法跟楼上不一样,楼上的意思是最大公约数和最小公倍数之间的差事8,但依照题目来看,“如果一个数比另一个数大8”这句话紧跟着“两个数的最大公约数和最小公倍数的乘积为384”这句话,也就是这里是说“两个数”,所以40我觉得不是这个题目的答案 ,也就是题目中的“the two numbers”不是16和24

两个数的最大公约数和最小公倍数乘积为384，如果一个数比另一个多8，求两数之和
最大公约最小公倍之积就是两数相乘，分别是16和24，和是40

设这两个数为x,y
xy=384
x-y=8
求出x=24,y=16
两个数的和是40

SOLUTION:
Set one x, and the other one y.
We have equations from the question:
x+8=y
384=(2^7)*3
however, 384 conclude the (HCF^2),and HCF|LCM. Through the conditiongs, We can let ...

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SOLUTION:
Set one x, and the other one y.
We have equations from the question:
x+8=y
384=(2^7)*3
however, 384 conclude the (HCF^2),and HCF|LCM. Through the conditiongs, We can let HCF=2^2=4, and LCM=24.
so,x= 4m, y=4n, 4m+8=4n. we have
m+2=n
24|4m, 24|4n
Obviously, m=1, n=3.
We have solutions for this question: x=4, y=12

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两个数的最大公约数与最小公倍数的乘积是384，若其中一个数比另一个数大8倍，那么这两个数的和是多少？

设这两个数为x,y
xy=384
x-y=8
求出x=24,y=16
两个数的和是40

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