Question

В саду на 15 яблонь больше, чем слив.Посадили ещё 6 слив.Яблонь стало в 2 раза больше, чем слив.сколько яблонь и слив было первоначально? Помогите решить задачу

Answer 1

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Answer 2

Problem Analysis

Let's analyze the problem step by step to find the initial number of apple trees and plum trees in the garden.

1. We are given that there are 15 more apple trees than plum trees in the garden. 2. Then, 6 plum trees are planted. 3. After planting the plum trees, the number of apple trees becomes twice the number of plum trees.

Solution

Let's assume the initial number of plum trees in the garden is x. Then, the initial number of apple trees would be x + 15.

After planting 6 plum trees, the number of plum trees becomes x + 6. And the number of apple trees becomes twice the number of plum trees, which is 2(x + 6).

Now, we can set up an equation to solve for x:

2(x + 6) = x + 15

Let's solve this equation to find the value of x.

Solving the Equation

Expanding the equation:

2x + 12 = x + 15

Moving all the terms to one side:

2x - x = 15 - 12

Simplifying:

x = 3

Therefore, the initial number of plum trees in the garden is 3. And the initial number of apple trees is 3 + 15 = 18.

So, there were initially 3 plum trees and 18 apple trees in the garden.

I hope this helps! Let me know if you have any further questions.