列方程解答下列問題
2個數的差是24,如果較大的數的四分之三減去較小的數的2倍,差會是3。求較大的數。
回答 (5)
✔ 最佳答案
設x為較大的數,y為較小的數
x-y=24
3x/4-2y=3
x=24+y
3(24+y)/4-2y=3
(72+3y)/4-2y=3
3y/4-2y=3-72/4
3y/4-8y/4=12/4-72/4
3y-8y=12-72
-5y=-60
y=12
x-12=24
x=36
x=36,y=12
參考: me
"設較大的數是x" or "Let x be the greater number"
(3/4)x-2(x-24)=3
(3/4)x-2x+48=3
(-1 1/4)x=3-48
x=-45/(-1 1/4)
x=36
"所以,較大的數是36" or "Therefore,the greater number is 36"
let the two number be X and Y .
X -Y =24---------(1)
3/4X-2Y=3-------(2)
設較大的數為x, 較小的數為y
x-y = 24 ----------(i)
0.75x-2y = 3-----(ii)
由(i) : y = x-24
0.75x-2(x-24) = 3
-1.25+48 = 3
45 = 1.25x
x = 36
所以較大的數是36
設該兩數是x和x+24
[3(x+24)/4]-2x=3
(3x+72)/4 =2x+3
3x+72=8x+12
5x=60
x=12
x+24=36
所以大數是36
收錄日期: 2021-04-12 20:14:52
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20061109000051KK03497
檢視 Wayback Machine 備份