列方程解答下列問題

2006-11-10 3:43 am
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)

2006-11-10 3:58 am
✔ 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
2006-11-10 4:12 am
"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"
2006-11-10 3:50 am
let the two number be X and Y .
X -Y =24---------(1)
3/4X-2Y=3-------(2)
2006-11-10 3:50 am
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
2006-11-10 3:47 am
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


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