Question

7. Старинная задача. Лев съест барана за 2 дня, волк - за 3 дня, а собака - за 6 дней. За сколько дней лев, волк и собака вместе съедят барана?​

Answer 1

Ответ:

За 1 день.

Пошаговое объяснение:

1/2 барана кушает лев за день

1/3 барана кушает волк за день

1/6 барана съедает собака за день

1/2 + 1/3 + 1/6 = 6/6 = 1-го барана съедят за день все твари вместе.

Answer 2

Problem Analysis

The problem states that a lion can eat a sheep in 2 days, a wolf can eat a sheep in 3 days, and a dog can eat a sheep in 6 days. The question is asking how many days it will take for the lion, wolf, and dog to eat the sheep together.

Solution

To find the number of days it will take for the lion, wolf, and dog to eat the sheep together, we need to find the least common multiple (LCM) of the numbers 2, 3, and 6. The LCM is the smallest positive integer that is divisible by all the given numbers.

The prime factorization of the numbers is as follows: - 2 = 2^1 - 3 = 3^1 - 6 = 2^1 * 3^1

To find the LCM, we take the highest power of each prime factor that appears in any of the numbers. In this case, the highest power of 2 is 1, and the highest power of 3 is 1. Therefore, the LCM is 2^1 * 3^1 = 2 * 3 = 6.

So, it will take the lion, wolf, and dog 6 days to eat the sheep together.

Answer

It will take the lion, wolf, and dog 6 days to eat the sheep together.