Question

Два ученика Петя и Вова решили 24 примера на двоих. Сколько примеров решил каждый мальчик если известно, что Вова решил в 3 раза больше Пети

Answer 1

Пусть х примеров решил Петя, тогда Вова решил 3х примеров. Зная, что всего решили 24 примера, составим и решим уравнение.

3х + х = 24

4х= 24

х=6 - решил Петя

24-6 = 18 - решил Вова

Ответ: 6, 18

Answer 2

Task:

Find out how many problems each of the two students, Petya and Vova, solved if it is known that Vova solved three times more problems than Petya.

Solution:

To solve this problem, we can set up a system of equations based on the given information. Let's denote the number of problems Petya solved as x and the number of problems Vova solved as y. We know that Vova solved three times more problems than Petya, so we can express this relationship as y = 3x. Additionally, we know that the total number of problems solved is 24, so we have the equation x + y = 24.

Calculation:

Using the equation y = 3x, we can substitute y in the equation x + y = 24 to solve for x: x + 3x = 24 4x = 24 x = 6

Now that we know Petya solved 6 problems, we can find out how many problems Vova solved: y = 3x y = 3 * 6 y = 18

Answer:

So, Petya solved 6 problems and Vova solved 18 problems. This satisfies the condition that Vova solved three times more problems than Petya.

(#1)