Finding the greatest common factor and least common multiple of 84 and 126 by short division
Maximum common factor: 42
Least common multiple 252
From 1 to 2008, there are () natural numbers which are just multiples of the two numbers in 3, 5 and 7
The multiple of 15 is 133
The multiple of 21 is 95
The multiple of 35 is 57
The multiple of 105 is 14
133+95+57-14*3=243
The sum of the three numbers of a, B and C is 78. A is three times of B, and C is one third of B. what are the three numbers?
There should be formulas. Don't make equations. If it's OK, you'll get more points
B = 78 / (3 + 1 + 1 / 3) = 18
Then a = 3 * 18 = 54
C = 18 / 3 = 6
The answers are as follows:
B is three times as much as C, a is three times as much as B, and a is nine times as much as C
So C = 78 (1 + 3 + 9) = 6
B = 6 × 3 = 18
A = 6 × 9 = 54
A 54 B 18 C 6
3x + X + one third x = 78 A: 3x = 54 B: x = 18 C x = 6
The ratio of the number of people in workshop a and workshop B is 3:2. After 20 people are transferred from workshop a to workshop B, the ratio of the number of people in workshop a and workshop B is 7:8
The problem is how many people are there in each workshop
A is x, B is y
x:y=3:2
【x-20】:【y+20】=7:8
y=60
x=90
The ratio of the number of people in the two workshops is 3:2, and Party A accounts for 3 / 5 of the total
The ratio of the number of people in the two workshops is 7:8
So total = 20 / (3 / 5-7 / 15) = 150
A = 150 * 3 / 5 = 90
B = 150 * 2 / 5 = 60
One hundred and fifty
The sum of the numbers a, B and C is 78. The number a is more than 2 times the number B, and the number B is less than 3 times the number C. 2
Let C be x, then B be 3x-2, so a is 2 (3x-2) + 4. According to the meaning of the question, we can get the following equation: x + 3x-2 + 2 (3x-2) + 4 = 78, & nbsp; & nbsp; & nbsp; & nbsp; X + 3x-2 + 6x-4 + 4 = 78, & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp
There are two workshops. The number of people in workshop a is 58 of that in workshop B. after 48 people are transferred from workshop B, the number of people in workshop a is 14 less than that in workshop B. how many people are there in workshop a?
85 − 43 = 415, 48 △ 415 = 180 (people); answer: there are 180 people in workshop a
The sum of the numbers a, B and C is 78. The number a is more than 2 times the number B, and the number B is less than 3 times the number C. 2
Let C be x, then B be 3x-2, so a is 2 (3x-2) + 4. According to the meaning of the question, we can get the following equation: x + 3x-2 + 2 (3x-2) + 4 = 78, & nbsp; & nbsp; & nbsp; & nbsp; X + 3x-2 + 6x-4 + 4 = 78, & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp
The number of people in workshop a is two-thirds of that in workshop B. If 8 people are transferred from workshop B to workshop a, the number of people in workshop a is 80% of that in workshop B,
How many people are there in workshop a
80%=4/5
8/[4/(5+4)-2/(3+2)]=180
180*2/(3+2)=72
The sum of the numbers a, B and C is 187. The number B is twice that of the number C, and the number a is four times that of the number B?
Let C be X
2x+8x+x=187
x=17
2x=34
8x=136
Let C be x, then B be 2x and a be 4 * 2x = 8x
X+2X+8X=187
11X=187
X=17
2X=2*17=34
8X=8*17=136
A: number a is 136; number B is 34; number C is 17.
Let B be x, C = x / 2, a = 4x
4x+x+(x/2)=187
(11/2)x=187
x=34
So a = 34 * 4 = 136
B = 34
C = 34 / 2 = 17
Suppose that number C is one, then number B is two, and number a is eight,
If 187 divided by (1 + 2 + 8) equals 17, then 17 is a portion,
So number C is 17, number B is 17 times 2 equals 34, number a is 17 times 8 equals 136
It's solved by sharing.
The ratio of the existing number of people in the two workshops is 5:3. If 12 people are transferred from workshop a to workshop B, the number of people in the two workshops is equal. How many people are there in the two workshops
The difference between the number of people in workshop a and workshop B: 12 × 2 = 24 (people) the difference between the number of people in workshop a and workshop B: 5-3 = 2 each: 24 △ 2 = 12 (people), so 12 × 5 = 60 (people) in workshop a and 13 × 3 = 36 (people) in workshop B