Question

Говорит дед внукам:"Вот вам 130 орехов.Разделите их на две части так,чтобы меньшая часть,увеличенная в 4 раза,равнялась большей части уменьшенной в 3 раза ".Как разделить орехи.Решить уравнением.

Answer 1

х-1 часть орехов

130-х-2 часть орехов

х*4=(130-х)/3

4х+х/3=130/3

12х+х/3=130/3

13х/3=130/3

х=10 орехов - меньшая часть

130-10=120 орехов - большая часть

Ответ:надо разделить на 10 и на 120 орехов 

Answer 2

Problem Analysis

The problem states that a grandfather gives his grandchildren 130 nuts and asks them to divide them into two parts. The smaller part, when increased by 4 times, should be equal to the larger part decreased by 3 times. We need to find out how to divide the nuts.

Solution

Let's assume the smaller part of the nuts is represented by x. According to the problem, the larger part would be represented by 130 - x.

Given that the smaller part, when increased by 4 times, is equal to the larger part decreased by 3 times, we can write the equation as:

4x = (130 - x) - 3x

To solve this equation, we can simplify it:

4x = 130 - x - 3x

Combining like terms:

4x + x + 3x = 130

Simplifying further:

8x = 130

Now, we can solve for x by dividing both sides of the equation by 8:

x = 130 / 8

Calculating the value of x:

x = 16.25

Since we cannot have a fraction of a nut, we need to round the value of x to the nearest whole number. In this case, we can round it down to 16.

Therefore, the smaller part of the nuts would be 16, and the larger part would be 130 - 16 = 114.

So, the nuts can be divided into two parts: 16 nuts and 114 nuts.

Answer

The nuts can be divided into two parts: 16 nuts and 114 nuts.