qwen2-math:7b
Для решения этой задачи let's denote my current age as "M" and your current age as "Y". According to the problem,
I am now twice as old as you were when I was as old as you are now. This can be expressed by setting up two
equations.
First, let's define how many years ago you were when I was the same age as you are now. That would be M - Y years
ago. At that time, your age was Y - (M - Y), which simplifies to 2Y - M.
The problem states that my current age M is twice your age at that time. So we can write:
\[ M = 2(2Y - M) \]
Now let's solve this equation step by step.
1. Distribute the 2 on the right side of the equation:
\[ M = 4Y - 2M \]
2. Add 2M to both sides to get all terms involving M on one side:
\[ M + 2M = 4Y \]
\[ 3M = 4Y \]
3. Solve for M by dividing both sides by 3:
\[ M = \frac{4Y}{3} \]
This tells us that my current age is \(\frac{4}{3}\) times your current age. To express this in a more
understandable way, we can say that I am currently \(\frac{4}{3}\) as old as you are now.
So, the answer to the problem is:
\[ \boxed{\frac{4}{3}} \]
----------------------------------------qwen2.5-coder:7b-----------------------
рыба весит 3 кг + 1/3 своего веса. сколько весит рыба?
Давайте решим эту задачу шаг за шагом:
1) Пусть вес рыбы x кг.
2) По условию, рыба весит 3 кг + 1/3 своего веса.
То есть: x = 3 + (1/3)x
3) Чтобы избавиться от дроби, умножим обе части уравнения на 3:
3x = 9 + x
4) Теперь вычтем х из обеих частей:
2x = 9
5) Разделим обе части на 2:
x = 9/2 = 4.5 кг
Итак, рыба весит 4.5 кг.
Проверка:
4.5 кг = 3 кг + 1/3 * 4.5 кг
4.5 кг = 3 кг + 1.5 кг
4.5 кг = 4.5 кг
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