Mathe~~數學

2013-10-20 5:27 am
A和B的和是100
求A的值!!

(a) A:B = 1 : 3

(b) B : A = 3 : 2

回答 (6)

2013-10-20 5:37 am
✔ 最佳答案
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要求: A + B = 100

(a) A : B = 1 : 3
可以令 A = k, B = 3k, k 為非零常數
A + B = 100
k + 3k = 100
4k = 100
k = 25
A = k = 25

(b) A : B = 2 : 3
可以令 A = 2k, B = 3k, k 為非零常數
A + B = 100
2k + 3k = 100
5k = 100
k = 20
A = 2k = 40
2013-10-22 6:39 am
(a) A:B = 1 : 3
假設 A = n, B = 3 n
A + B = 100
n + 3 n = 100
4 n = 100
n = 25
A = 25

(b) A : B = 2 : 3
假設 A = 2 n, B = 3 n
A + B = 100
2 n + 3 n = 100
5 n = 100
n = 20
2 n = 40
A = 40
2013-10-22 6:08 am
2 4 9 17 28 42 的通項是什麼?
2 4 9 17 28 42 general term?
2013-10-20 6:56 am
A + B = 100
  
(a) A:B = 1 : 3
假設 A = n, B = 3 n
A + B = 100
n + 3 n = 100
4 n = 100
n = 25
A = 25

(b) A : B = 2 : 3
假設 A = 2 n, B = 3 n
A + B = 100
2 n + 3 n = 100
5 n = 100
n = 20
2 n = 40
A = 40

希望幫到你!
參考: 親筆書寫,絕無抄人
2013-10-20 6:15 am
A和B的和是100
即是A + B = 100
  
(a) A:B = 1 : 3
假設 A = n, B = 3 n
A + B = 100
n + 3 n = 100
4 n = 100
n = 25
A = 25

(b) A : B = 2 : 3
假設 A = 2 n, B = 3 n
A + B = 100
2 n + 3 n = 100
5 n = 100
n = 20
2 n = 40
A = 40
參考: 自己
2013-10-20 5:35 am
(a) A:B = 1 : 3

A/B = 1/3

3A = B

A+B = 100

咁 ......

(b)

B/A = 3/2

咁 ......


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