我細佬既數學題....好易,,,(5分)

2007-01-25 10:54 am
Sam is 9 years younger than David.In 5 years time he will be half of David's age. What is davids age now?
麻煩最好可以"烈"晒條式+答案

回答 (3)

2007-01-25 11:09 am
✔ 最佳答案
Let David's current age be A
and Sam's current age be B

A = B + 9 ----------------------------> (1)

(A+5)/2 = B + 5
A + 5 = (B+5)*2
A = 2B + 10 - 5
A = 2B + 5 ----------------------------> (2)

(1) = (2)
B + 9 = 2B + 5
9 - 5 = 2B - B
B = 4 ----------------------------> (3)

Put (3) into (1)
A = B + 9 (B=4)
A = 4 + 9
A = 13

David is 13 years old, and Sam is 4 years old now. In 5 years, David will be 18 years old and Sam will be 9, which is half of David's age then.
2007-01-25 1:06 pm
Let's David's age is x years old, Sam's age is (x-9) years old,
After 5 years,
David's age will be (x+5), Sam's age will be (x-9+5):

(x+5)=2(x-9+5)
x+5=2(x-4)
x+5=2x-8
5+8=2x-x
13=x
x=13

So David's age is 13 now.
參考: 自己
2007-01-25 11:04 am
Let david is y years old now.

(y-9)+5=(y+5)/2
y-4=(y+5)/2
2y-8=y+5
y=13

So,David's age is 13 now.
參考: As I am a maths tutorial teacher, I sure my answer is correct~


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