Question

Вдоль забора растут 6 кустов смородины. Число ягод на соседних кустах отличается на 1. Может ли на всех кустах вместе быть 2013 ягод? ответ пояснить.

Answer 1

x+(x+1)+(x+2)+(x+3) +(x+4)+(x+5)+(x+6)+x = 2013

8x + 28 = 2013

8x = 2013 - 21

x = 1992/8

x = 249

  Может!

Answer 2

Analyzing the Situation

To solve this problem, we need to consider the total number of berries on all six bushes and the difference in the number of berries between adjacent bushes. We also need to determine if it's possible for the total number of berries to be 2013.

Understanding the Problem

Let's denote the number of berries on the bushes as follows: - Bush 1: x - Bush 2: x + 1 - Bush 3: x - Bush 4: x + 1 - Bush 5: x - Bush 6: x + 1

Exploring the Possibility

We can calculate the total number of berries by adding the number of berries on each bush: Total = (x) + (x + 1) + (x) + (x + 1) + (x) + (x + 1)

Simplifying the expression: Total = 6x + 3

Evaluating the Possibility

Now, we need to determine if it's possible for the total number of berries to be 2013. We can solve the equation: 6x + 3 = 2013

Subtracting 3 from both sides: 6x = 2010

Dividing by 6: x = 335

Conclusion

Given the arrangement of the bushes and the difference in the number of berries between adjacent bushes, it is possible for the total number of berries on all six bushes to be 2013. Therefore, it is possible for all the bushes together to have 2013 berries.