Question

Летели скворцы и встретились им деревья.Когда сели они по одному на дерево,то одному скворцу не хватило дерева, а когда на каждое дерева сели по два скворца,то одно дерево осталось не занятым.Сколько было скворцов и сколько деревьев?

Answer 1

Предположим что скворцы сели на дерево по 2,с каждого дерева взлетело по 1 скворцу.Один из взлетевших может сесть на не занятое дерево,тогда на каждом дереве могут сидеть по 1 скворцу.
По условию ,если на каждое дерево сядет по 1 скворцу ,то 1 останется в воздухе . Поэтому взлетело значит 2 скворца.Значит скворцов 4,а число деревьев -3.
Ответ: скворцов-4,деревьев-3.

Answer 2

Problem Analysis

The problem states that a group of sparrows (skvortsy) flew and encountered some trees. When they landed, one sparrow was left without a tree. However, when two sparrows landed on each tree, one tree remained unoccupied. The goal is to determine the number of sparrows and the number of trees.

Solution

Let's assume there are x sparrows and y trees. According to the problem, when the sparrows landed one by one on the trees, one sparrow was left without a tree. This means that there are x-1 sparrows on y trees.

When two sparrows landed on each tree, one tree remained unoccupied. This means that there are x/2 trees occupied by two sparrows, and one tree is unoccupied. Therefore, we have the equation:

(x-1) + (x/2) + 1 = y

Simplifying the equation, we get:

(3x+2)/2 = y

To find the values of x and y, we can substitute different values of x and check if the equation is satisfied.

Checking Possible Values

Let's check some possible values of x and see if the equation is satisfied:

1. If x = 2, then y = (3*2+2)/2 = 4. However, this doesn't satisfy the condition that one sparrow is left without a tree when they land one by one. 2. If x = 4, then y = (3*4+2)/2 = 7. This satisfies the condition, as one sparrow is left without a tree when they land one by one, and when two sparrows land on each tree, one tree remains unoccupied.

Therefore, the solution is that there are 4 sparrows and 7 trees.

Answer

There are 4 sparrows and 7 trees.