Question

У Ашрафа было в два раза больше тетрадей, чем у Махмуда (рис. 4). Ашраф купил шесть тетрадей, в итоге у него стало больше в 5 раз чем у Махмуда. Сколько тетрадей у каждого ребенка изначально было? План.​

Answer 1

пусть х тетр.- у Махмуда; 2хтетр-тетради Ашрафа

составляем уравнение:

1) 2х+6=5х

6=5х-2х

3х=6

х=2(тетр.)-у Махмуда изначально

2) 2*2=4(тетр.)- изначально у Ашрафа

Answer 2

Problem Analysis

We are given the information that Ashraf had twice as many notebooks as Mahmud initially, and Ashraf bought six more notebooks, resulting in Ashraf having five times as many notebooks as Mahmud. We need to determine the initial number of notebooks each child had.

Solution

Let's assume that Mahmud initially had x notebooks. According to the given information, Ashraf initially had twice as many notebooks as Mahmud, so Ashraf had 2x notebooks.

After Ashraf bought six more notebooks, he ended up with five times as many notebooks as Mahmud. This can be expressed as the equation:

2x + 6 = 5x

To solve this equation, we can subtract 2x from both sides:

6 = 3x

Now, we can divide both sides by 3 to find the value of x:

x = 2

Therefore, Mahmud initially had 2 notebooks, and Ashraf initially had twice as many, which is 4 notebooks.

Answer

Initially, Mahmud had 2 notebooks, and Ashraf had 4 notebooks.

Explanation

According to the given information, Ashraf had twice as many notebooks as Mahmud initially. This means that if Mahmud had x notebooks, Ashraf had 2x notebooks.

After Ashraf bought six more notebooks, he ended up with five times as many notebooks as Mahmud. This can be expressed as the equation:

2x + 6 = 5x

By solving this equation, we find that x = 2, which means Mahmud initially had 2 notebooks. Since Ashraf initially had twice as many notebooks, he had 4 notebooks.

Therefore, the initial number of notebooks for Mahmud was 2, and for Ashraf was 4.