Question

На березе сидело на 12 птиц больше, чем на дубе. После тот как с березы на дуб перелетели 23 птицы, птиц на дубе стало втрое больше, чем на березе. Сколько всего птиц сидело на двух деревьях?

Answer 1

Пусть на дубе сидело х птиц, тогда на березе х+12 . После перелета на березе стало х+12-23 птиц, а на дубе х+23. Так как птиц на дубе стало втрое больше, составим уравнение:
3( х+12-23) = х+23
3(х-11) =х+23
решив уравнение, получим х=28, х+12 = 28+12=40, т.е. на дубе сидело 28 птиц, на березе 40, всего 68 птиц
Ответ: 68 птиц

Answer 2

Problem Analysis

We are given the following information: - There were 12 more birds sitting on the birch tree than on the oak tree. - After 23 birds flew from the birch tree to the oak tree, the number of birds on the oak tree became three times the number on the birch tree.

We need to determine the total number of birds sitting on both trees.

Solution

Let's assume the number of birds on the birch tree is x and the number of birds on the oak tree is y.

From the given information, we can form the following equations: 1. x = y - 12 (There were 12 more birds on the birch tree than on the oak tree) 2. y + 23 = 3(x - 23) (After 23 birds flew from the birch tree to the oak tree, the number of birds on the oak tree became three times the number on the birch tree)

We can solve these equations to find the values of x and y.

Solving the Equations

Let's solve the equations step by step.

From equation 1, we can substitute the value of x in equation 2: y + 23 = 3((y - 12) - 23)

Simplifying the equation: y + 23 = 3(y - 35)

Expanding and simplifying further: y + 23 = 3y - 105

Bringing all the terms to one side: 3y - y = 23 + 105

Simplifying: 2y = 128

Dividing both sides by 2: y = 64

Now, we can substitute the value of y in equation 1 to find the value of x: x = 64 - 12 x = 52

Answer

Therefore, the total number of birds sitting on both trees is x + y = 52 + 64 = 116.

Please let me know if I can help you with anything else.