Question

Сумма семи различных натуральных чисел равна 29. Чему равна разность между наибольшим и наименьшим?

Answer 1

Problem Analysis

We are given that the sum of seven different natural numbers is 29. We need to find the difference between the largest and smallest numbers.

Solution

To find the difference between the largest and smallest numbers, we first need to find the numbers themselves. Let's assume the smallest number is x. Since the numbers are different, we can assume that the largest number is x + 6 (since there are seven numbers in total).

We know that the sum of these seven numbers is 29. So, we can write the equation:

x + (x + 1) + (x + 2) + (x + 3) + (x + 4) + (x + 5) + (x + 6) = 29

Simplifying the equation, we get:

7x + 21 = 29

Subtracting 21 from both sides, we get:

7x = 8

Dividing both sides by 7, we get:

x = 8/7

Since x is not a whole number, we can conclude that there is no solution to this problem. The sum of seven different natural numbers cannot be equal to 29.

Therefore, the difference between the largest and smallest numbers is undefined in this case.

Conclusion

The difference between the largest and smallest numbers is undefined because there is no solution to the problem. The sum of seven different natural numbers cannot be equal to 29.