Question

У пастуха стадо из овец и барнов, если овец в несколько раз больше чем баранов , то кол-во животных в стаде 2014, если баранов в то же число раз больше чем овец, то кол-во животных 2015. Сколько животных в стаде?

Answer 1

2014 животных в стаде

Answer 2

Problem Analysis

We are given that a shepherd has a flock of sheep and rams. If the number of sheep is several times greater than the number of rams, then the total number of animals in the flock is 2014. If the number of rams is the same number of times greater than the number of sheep, then the total number of animals in the flock is 2015. We need to determine the total number of animals in the flock.

Solution

Let's assume the number of sheep is x and the number of rams is y.

According to the given information, if the number of sheep is several times greater than the number of rams, then the total number of animals in the flock is 2014. Mathematically, this can be represented as:

x = a * y (Equation 1)

where a is a positive integer.

Similarly, if the number of rams is the same number of times greater than the number of sheep, then the total number of animals in the flock is 2015. Mathematically, this can be represented as:

y = b * x (Equation 2)

where b is a positive integer.

To find the total number of animals in the flock, we need to solve these two equations simultaneously.

Solving the Equations

Let's substitute Equation 1 into Equation 2:

y = b * (a * y)

Simplifying the equation, we get:

1 = a * b

Since a and b are positive integers, the only possible values for a and b are 1 and 1.

Substituting these values back into Equation 1, we can find the values of x and y:

x = 1 * y x = y

Therefore, the number of sheep and rams in the flock is the same.

To find the total number of animals in the flock, we can substitute the value of x or y into either Equation 1 or Equation 2. Let's use Equation 1:

x = a * y x = 1 * y x = y

So, the total number of animals in the flock is equal to the number of sheep or rams, which is y.

Therefore, the total number of animals in the flock is 2015.

Answer

The total number of animals in the flock is 2015.