Question

Сумма трёх различных четырехзначных четных чисел равна 10758.Какре наибольшее значение может принять большее из этих чисел ?

Answer 1

Если 1 из них большее, то все остальные меньшие
думаю 1-е число 1000
2-е число 1000
3-е(большее) 8758

Answer 2

Sum of Three Different Four-Digit Even Numbers

To find the largest possible value for the larger of the three different four-digit even numbers whose sum is 10,758, we can follow these steps:

1. Let's assume the three numbers are A, B, and C, where A is the largest number. 2. Since the sum of the three numbers is 10,758, we can write the equation: A + B + C = 10,758. 3. We know that all three numbers are four-digit even numbers, so they can be written in the form of 2x, where x is a three-digit number. 4. Let's substitute the even number form into the equation: 2x + 2y + 2z = 10,758, where x, y, and z are three-digit numbers. 5. Simplifying the equation, we get: x + y + z = 5,379.

Finding the Largest Possible Value for A

To find the largest possible value for A, we need to maximize the value of x. Since x is a three-digit number, we want to maximize the leftmost digit to get the largest possible value.

Let's consider the following scenario: - Let x = 999, which is the largest three-digit number. - Then, y + z = 5,379 - 999 = 4,380.

To maximize the value of y + z, we need to minimize the value of y and z. To do this, we can set y = 100 and z = 100, as they are the smallest three-digit numbers.

Now, let's calculate the values of A, B, and C: - A = 2x = 2 * 999 = 1,998. - B = 2y = 2 * 100 = 200. - C = 2z = 2 * 100 = 200.

Therefore, the largest possible value for the larger of the three numbers is 1,998.

Conclusion

The largest possible value for the larger of the three different four-digit even numbers whose sum is 10,758 is 1,998.