中1數20分

2007-10-08 3:27 am
The difference between two numbers is10.Ifthe sum of the smaller number multipiled by 4and the larger number multiplied by one-thrid is 25,find the two numberS.

回答 (2)

2007-10-08 3:33 am
✔ 最佳答案
Let x be the smaller number
Let y be the larger number

y-x=10 ----------(a)
4x+y/3=25 ------------(b)

From (a), y=10+x and put it into (b)
4x+(10+x)/3=25
12x+10+x=75
13x=65
x=5

Put x=5 into (a)
y=10+5
y=15

2007-10-07 22:00:22 補充:
係, 要用方程式
2007-10-08 3:38 am
let the smaller number is n and the larger number is m.

m-n=10---------------------(1)
4n+1/3m=25-------------(2)
(2)X3
12n+m=75---------------(3)

solving two eqt.
(3)-(1): 12n+m=75
- m-n =10

13n=65
n=5

put n=5 into(1)
m-5=10
so, m=15

So, the smaller numbers =5, larger number=15.
參考: 自己


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