中一數學題

2008-04-27 7:11 pm
In 3 consecutive number , the smallest number is 19/20 of the largest one , find the middle number .

回答 (3)

2008-04-29 2:32 am
✔ 最佳答案
let x be the middle number among the three
x-1 = 19
----- ----
x+1 20

20(x-1)=19(x+1)→交叉相乘 將x-1乘落20到 x+1就乘19
20x-20=19x+19
20x-19x=19+20
x=39
so the middle numeber is 39
2008-04-27 7:30 pm
let n be the middle number
(n-1)/(n+1)=19/20
20(n-1)=19(n+1)
20n-20=19n+19
n=20+19=39
2008-04-27 7:24 pm
Let the middle number be X,
(largest nimber = X 1, smallest number =X-1)

X-1 = (X 1)*19/20

20(X-1) = 19(X 1)

20X-20 = 19X 19

20X-39 = 19X

X=39


the middle number is 39.

2008-04-27 11:24:43 補充:
(largest number = X+1)


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