數學題!!!方程(答得叻就最佳回答)

2007-06-09 1:45 am
妹妹想用9來除某數,但錯用了6;算得的商比正確的大11.求某數.

回答 (5)

2007-06-09 1:56 am
✔ 最佳答案
如果係
9/a=b
6/a=b+11
6/a-9/a=11
a=-3/11

如果係
a/9=b
a/6=b+11
a/6-a/9=11
a=198
2007-06-09 3:35 am
easy la~@@

設某數是x
9/x-6/x>11
(1/x)(9-6)>11
(1/x) (3)>11
1/x>11/3
1/x>3又 2/3
     x>3又 2/3
所以某數是大於3又 2/3
參考: my math's knowledge
2007-06-09 3:07 am
設某數是y.
y / 9 = y / 6 - 11
y / 9 + 11 = y / 6
11 = y / 6 - y / 9
11 = 3y / 6 - 2y / 9
11 = ( 3y - 2y ) / 18
11 * 18 = 3y - 2y
198 = y
y =198
.'. 某數是198.
2007-06-09 2:00 am
let z be 某數
z/9=y...................................(1)
z/6=y+11..............................(2)

from(2)
z/6-11=y..............................(3)

(1) = (3) = y
z/9 = z/6 - 11 = y
z/9 = (z-66)/6
6z = 9z - 594
6z-9z = -594
-3z = -594
z = 198
所以,某數=198

check:
198/9=22
198/6=33
33-22=11
參考: 自己
2007-06-09 1:57 am
設某數為x
x / 9 = x / 6 -11
x / 9 = (x - 66) / 6
6x = 9x - 594
3x = 594
x = 198
所以某數就等於198


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