math(要例式)

2006-10-21 9:06 pm
the difference two numbers is 10.if the sum of the smaller number multiplied by4 and the large number multiplied by 1/3 is 25, find the two numbers.

回答 (5)

2006-10-21 9:12 pm
✔ 最佳答案
Let x be the smaller number,
4x+(x+10)1/3=25
4x+x+10/3=25
13x+10/3=25
13x+10=25(3)
13x=75-10
x=65/13
x=5
Therefore,the smaller number is 5,large number is 15.
2006-10-21 9:22 pm
x = larger no.
y = smaller no.

x - y = 10
1/3x + 4y = 25

x = 10 + y

1/3(10+y) + 4y =25
10/3 + y/3 +4y = 25
y/3 + 4y = 25 - 10/3
(y + 12y)/3 = 75/3 - 10/3
13y/3 = 65/3
y = 5

x = 10 + y
x = 15
2006-10-21 9:22 pm
Let the smaller number is x.the large number is y.

large:1/3y=25
1/3ydivide1/3=25divide1/3y
y=75


smaller:4x=25
4x divide 4=25 divide 4
x=6 and 1 over 4

the smaller number is 6 and 1over 4,the large number is 75
2006-10-21 9:18 pm
Let the larger number be Y and the smaller number be Z.
Y-Z=10 -----------------1
1/3Y+4Z=25 -----------2
1 x 4: 4Y-4Z=40 ------3
3 + 2: 13/3Y=65
Y=15
Sub Y=15 into 1
15-Z=10
Z=5
參考: me
2006-10-21 9:12 pm
設一個數是a, 則另一個數為 (a+10)

4a + (a+10)/3 = 25
12a + a +10 = 75
13a = 65
a = 5

a + 10
=15

答:兩個數為 5, 15。


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