Positive integers

Several positive integers are written on the paper. Michaella only remembered that each number was half the sum of all the other numbers. How many numbers could be written on paper?

Result

n =  2

Solution:

$a=(a+b+c)/2 \ \\ b=(a+b+c)/2 \ \\ c=(a+b+c)/2 \ \\ \ \\ a=b=c=... \ \\ s=na \ \\ a=s/2 \ \\ \ \\ a=na/2 \ \\ 1=n/2 \ \\ \ \\ n=2$

Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!

Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Be the first to comment!

Tips to related online calculators
Looking for help with calculating arithmetic mean?
Looking for a statistical calculator?
Do you have a linear equation or system of equations and looking for its solution? Or do you have quadratic equation?

Next similar math problems:

1. Proof I
When added to the product of two consecutive integers larger one, we get square larger one. Is this true or not?
2. AM of three numbers
The number 2010 can be written as the sum of 3 consecutive natural numbers. Determine the arithmetic mean of these numbers.
3. Equation
Solve the equation: 1/2-2/8 = 1/10; Write the result as a decimal number.
4. Walnuts
x walnuts were in the mission. Dano took 1/4 of nuts Michael took 1/8 from the rest and John took 34 nuts. It stayed here 29 nuts. Determine the original number of nuts.
5. Large family
I have as many brothers as sisters and each my brother has twice as many sisters as brothers. How many children do parents have?
6. Trees avg
The worker planted 96 trees on Monday, 120 on Tuesday and 61 trees on Wednesday. How many trees did he plant on Thursday if he averaged 105 trees per day?
7. Mom and daughter
Mother is 39 years old. Her daughter is 15 years. For many years will mother be four times older than the daughter?
8. Factory
In the factory workers work in three shifts. In the first inning operates half of all employees in the second inning and a third in the third inning 200 employees. How many employees work at the factory?
9. School marks
Boris has a total of 22 marks. Ones have 3 times less than threes. There are two twos. How many has ones and threes?
10. Fifth of the number
The fifth of the number is by 24 less than that number. What is the number?
11. Unknown numbers
The sum of two consecutive natural numbers and their triple is 92. Find these numbers.
12. Average age
The company of five people has an average age of 46 years. The average age of the first four is 43 years. How many years has the fifth member of this company?
13. Simply equation
Solve this equation for x: ?
14. Athletic club
All athletic club boys lined up by size. In front of Peter was one-eighth of the total. Right behind Peter stood his brother Radek and behind Radek another five-sixths of the total number of boys. Mark the unknown total number of athletic club boys x.
15. Number unknown
Adela thought the two-digit number, she added it to its ten times and got 407. What number does she think?
16. I think
I think a number. When I multiply it by five, and after that I subtract 477, I get the same number as if I multiplied it twice. What number do I think?
17. Football match 4
In a football match with the Italy lost 3 goals with Germans. Totally fell 5 goals in the match. Determine the number of goals of Italy and Germany.