# Determine 80714

Three different numbers are given. The average of the average of two smaller numbers and the average of the two larger numbers is equal to the average of all three numbers. The average of the smallest and largest number is 2022. Determine the sum of the three given numbers.

### Correct answer:

Tips for 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 a quadratic equation?

Looking for a statistical calculator?

Do you have a linear equation or system of equations and looking for its solution? Or do you have a quadratic equation?

#### You need to know the following knowledge to solve this word math problem:

#### Themes, topics:

#### Grade of the word problem:

We encourage you to watch this tutorial video on this math problem: video1

## Related math problems and questions:

- Below-average 60271

In a given group of numbers, one number is equal to the average of all, the largest number is 7 larger than the average, the smallest is 7 smaller than the average, and most numbers in the group have below-average values. What is the smallest number of nu - Different 44621

Express the number 68 as this property's sum of two different summands. If you divide a larger sum by a smaller sum, will you receive a result of 3? - Four-digit 10261

Roman likes magic and math. Last time he conjured three- or four-digit numbers like this: • created two new numbers from the given number by dividing it between digits in the place of hundreds and tens (e.g., from the number 581, he would get 5 and 81), • - Z9–I–1

In all nine fields of given shape to be filled with natural numbers so that: • each of the numbers 2, 4, 6, and 8 is used at least once, • four of the inner square boxes containing the products of the numbers of adjacent cells of the outer square, • in th - The sum 8

The sum of the two numbers is 21. If three times the smaller numbers are two less than twice the larger number, find the two numbers. - Different 4533

Five different positive numbers are written on the board. Determine the largest possible number of pairs formed from them in which the sum of the two elements equals one of the five numbers written on the board. - The larger

The larger two numbers are nine, more than four times the smaller number. The sum of the two numbers is fifty-nine. Find the two numbers. - Smallest 2732

The sum of the three numbers is 77. The largest of them is three times the smallest, and the middle is half of the largest. Write all the summands. - Quadratic function

It is given a quadratic function y = -4x²+5x+c with an unknown coefficient c. Determine the smallest integer c for which the graph of f intersects the x-axis at two different points. - Problem

Problem Solving: The sum of three consecutive numbers is 93. What is the difference between the largest and the smallest number? - Open intervals

Open intervals A = (x-2; 2x-1) and B = (3x-4; 4) are given. Find the largest real number for which A ⊂ B applies. - Different 66994

There are 180 balls in three different colors in the bag. What is the smallest number of marbles to be selected so that there are at least 3 of the same color among them if the marble of the same color is the same in all three colors? - Three-fourths 5676

The three numbers are in the ratio of 4:7:14. Three-fourths of the smallest number is one greater than one-fifth of the largest number. How many times is the product of these three numbers greater than their sum? - Three-digit 2842

Determine the three numbers that are in the ratio 1: 2/3: 3/4, and the sum of the first two equals the smallest three-digit number. - Four-digit numbers

Find four-digit numbers where all the digits are different. For numbers, the sum of the third and fourth digits is twice the sum of the first two digits, and the sum of the first and fourth digits is equal to the sum of the second and third digits. The di - Sum of the seventeen numbers

The sum of the 17 different natural numbers is 154. Determine the sum of the two largest ones. - Positive 70974

The sum of two positive numbers is 2.5. A smaller number is four times smaller than a larger number. What is the value of a smaller number?