Using algebra to slove problems

2006-10-18 5:59 am
5. The sum of three consecutive number is 63.find these three numbers.
7. the difference between two number is 10.If the larger number is subtracted from 12 timesthe smaller numder,the difference is 45. What is the smaller number?
8. 4(y+6)=56
9. 2c-9/6-i/2=0
12. x/4-x+1/8=2

回答 (4)

2006-10-18 6:55 am
✔ 最佳答案
5. LET X, X+1, X+2 BE THE THREE NUMBERS.
X + (X+1) + (X+2) = 63
3X + 3 = 63
3X = 63 - 3
3X = 60
X = 20
THEREFORE, THE THREE NUMBERS ARE 20, 21 AND 22.

2006-10-17 23:01:11 補充:
7. LET X BE THE SMALLER SUMBER AND Y BE THE LARGER NUMBER. Y - X = 10-----------(A) 12 X - Y = 45---------(B)FROM (A), WE HAVE Y - X = 10 Y = 10 + X------(C)

2006-10-17 23:01:32 補充:
INSERT (C) INTO (B),12X - Y = 4512X - (10+X) = 4512X - 10 - X = 4511X = 55X = 5 THEREFORE, THE SMALLER NUMBER IS 5.

2006-10-17 23:06:15 補充:
8. 4(y+6)=56 4y + 24 = 56 4y = 56 - 24 4y = 32 y = 89. 2c-9/6-1/2=0 (2c-9/6-1/2)*6 = 0 x 6 12c - 9 - 3 = 0 12c = 0 + 3 + 9 12c = 12 c = 1

2006-10-17 23:06:32 補充:
12. x/4-x+1/8=2 (x/4-x+1/8) * 8 = 2 * 8 2x - 8x + 8 = 16 -6x = 16 - 8 -6x = 8 x = - 4/3
2006-10-18 6:16 am
5.let a, a+1,a+2 be the numbersa
a+a+1+a+2=63
a=20

so the numbers are 20,21 &22

7.let x &x-10 be the numbers

12(x-10)-x=45
x=15

so the numbers are15&10

8.4(y+6)=56
y+6=14
y=8

9.2c-9/6-i/2=0
2c=2
c=1

12.x/4-x+1/8=2
-3x/4=15/8
-24x=60
x=-2.5

2006-10-17 22:17:44 補充:
7.the numbers should be 15 &5(the smaller 1 is 5)
參考: me
2006-10-18 6:09 am
5. let the first number be a
then a+1 and a+2

a + (a+1) + (a+2) = 63
3a + 3 = 63
3a = 60
a = 20

so the three consecutive number is 20,21,22

7. let a and b be two numbers
a - b = 10 (1)
12b - a = 45 (2)

from (1), a = 10 + b
add into (2), 12b - (10+b) = 45
11b = 55
b = 5
smaller number is b, so is 5

8. y = 10
9. don't understand
12. x = -7/6
2006-10-18 6:08 am
5. 20,21,22
7. Let x be the smaller number.
x+10-12x=45
8. y=8
9. c=0.5
12. 5/2


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