Question

Круглая поляна обсажена деревьями. Алла и Кристина пошли вокруг поляны, считая деревья. Они идут в одном направлении, но начали в разных местах. Дерево, которое у Кристины было седьмым, у Алла было двадцатым, а дерево, которое у Аллы было седьмым, у Кристины было 93-м. Сколько деревьев растет вокруг поляны?

Answer 1

Ответ:100 деревьев.
Ну вроде бы

Answer 2

Solving the Problem of Trees Around the Clearing

To solve this problem, we can use a system of equations to find the total number of trees around the clearing. Let's denote the total number of trees as T.

1. Let's assume that the number of trees between where they started and met is X. 2. The number of trees from where they met to where they started is T - X.

Now, we can use the given information to form equations and solve for T.

Forming Equations Based on Given Information

1. "The tree that was seventh for Christina was twentieth for Alla." - This means that the number of trees between where they started and met is 13 (20 - 7).

2. "The tree that was seventh for Alla was ninety-third for Christina." - This means that the number of trees from where they met to where they started is 86 (93 - 7).

We can use these equations to solve for T.

Solving for the Total Number of Trees

Let's denote the number of trees between where they started and met as X and the total number of trees as T.

So, we have the following equations: 1. X = 13 2. T - X = 86

By solving these equations, we can find the value of T.

Calculating the Total Number of Trees

Substituting the value of X into the second equation: T - 13 = 86 T = 86 + 13 T = 99

So, the total number of trees around the clearing is 99.