Question

на доске написано 10 последовательных натуральных чисел , когда стёрли одно из них, то сумма оставшихся составляла 2008, какое число стёрли с доски? Помогите плиз, очень надо

Answer 1

Если последовательных чисел то 2019.

 

Answer 2

Problem Analysis

We are given that there are 10 consecutive natural numbers written on a board. When one of the numbers is erased, the sum of the remaining numbers is equal to 2008. We need to find the number that was erased from the board.

Solution

Let's assume that the first number on the board is represented by 'x'. Since the numbers are consecutive, the remaining numbers can be represented as x+1, x+2, ..., x+8, x+9.

According to the problem, the sum of the remaining numbers is equal to 2008. We can express this as an equation:

x + (x+1) + (x+2) + ... + (x+8) + (x+9) = 2008

Simplifying the equation, we get:

10x + 45 = 2008

Subtracting 45 from both sides, we have:

10x = 1963

Dividing both sides by 10, we find:

x = 196.3

Since 'x' represents a natural number, it cannot be a decimal. Therefore, there is no solution to this problem.

Conclusion

Based on the given information, there is no number that can be erased from the board to satisfy the condition that the sum of the remaining numbers is equal to 2008.