Question

英语奥数题

Two numbers are in the tatio 2:3. When 4 is added to each number the ratio changes to 5:7.
The sum of the two original numbers is
求过程和翻译

Answer 1

Two numbers are in the tatio 2:3. When 4 is added to each number the ratio changes to 5:7.
The sum of the two original numbers is
【两数之比为2：3，当每个数加上4时，新的两数之比为5：7，求原来两数之和】

假设原数为x y
x/y=2/3 >> 3x=2y >> x=2y/3
(x+4)/(y+4)=5/7 >>7x+28=5y+20 >>14y/3+28=15y/3+20
y/3=8
y=24
x=16

所以原来两数和为24+16=40

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Answer 2

40

Answer 3

两个数的比为2：3，如果每个数都加4则比为5：7，则这两个数的和等于：40