f2數-solve simultaneous equations

2008-02-21 4:03 am
1)a man is 22 years older than his son.In 2 years' time his age plus half his son's age will be 55 years.How old is he now?
2)a man is 20 years older than his son.In 4 years' time he will be twice as old as his son.find his present age.
3)four years ago a man was 12 times as his son.their united ages at present total 47 years.how old is the son now?
*英文步驟
**[最好]有中文解釋

回答 (1)

2008-02-21 4:36 am
✔ 最佳答案
1) let the present's age of a man and his son be x & y,
x-y=22 ---(1)
(x+2)+ (y+2)/2 =55 => 2x+y=104 ---(2)
(1)+(2):
3x=126
x=42, y=20
Therefore, the present's age of a man is 42 yrs old.

2) let the present's age of a man and his son be x & y,
x-y=20 ---(1)
(x+4) = 2(y+4) => x-2y=4 ---(2)
(1)-(2):
y=16, x=36
Therefore, the present's age of a man is 36 yrs old.

3) let the present's age of a man and his son be x & y,
(x-4) = 12(y-4) => x-12y= -44 ---(1)
x+y=47 ---(2)
(2)-(1):
13y=91
y=7, x=40
Therefore, the present's age of his son is 7 yrs old.

2008-02-20 20:46:35 補充:
中文解釋如下1) 列式(1):爸現在年齡與比仔差22年;列式(2):2年后,爸年齡加仔年齡一半共55歲。2) 列式(1):爸現在年齡與比仔差20年;列式(2):4年后,爸年齡係仔年齡2倍。3) 列式(1):4年前,爸年齡係仔年齡12倍;列式(2):爸現在年齡加仔年齡共47歲。


收錄日期: 2021-04-13 15:11:27
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