Question

Две многоножки встретились на дискотеке. Танцуя вместе, они изо всех сил старались не наступать друг другу на ноги! После танца первая многоножка сказала второй: «Если бы ты могла дать мне четыре свои ножки, у нас их было бы поровну». «А если бы ты дала мне две свои ножки», - ответила вторая многоножка, - «то у меня было бы в три раза больше, чем у тебя». Сколько ножек у каждой из них?

Answer 1

У первой многоножки 12 ног, а у второй - 20

Answer 2

Two Centipedes at the Disco

Two centipedes met at a disco and danced together, making sure not to step on each other's feet. After the dance, the first centipede said to the second, "If you could give me four of your legs, we would have an equal number." The second centipede replied, "And if you gave me two of your legs, I would have three times as many as you." The question is, how many legs does each centipede have?

To solve this problem, let's assign variables to represent the number of legs each centipede has. Let's say the first centipede has x legs and the second centipede has y legs.

According to the first statement, if the second centipede gave four legs to the first centipede, they would have an equal number of legs. This can be represented as:

x + 4 = y

According to the second statement, if the first centipede gave two legs to the second centipede, the second centipede would have three times as many legs as the first centipede. This can be represented as:

y + 2 = 3(x)

Now we have a system of two equations with two variables. Let's solve it to find the values of x and y.

Solving the Equations

Let's start by solving the first equation:

x + 4 = y

Rearranging the equation, we get:

x = y - 4

Now let's substitute this value of x into the second equation:

y + 2 = 3(x)

Substituting y - 4 for x, we get:

y + 2 = 3(y - 4)

Expanding and simplifying the equation, we get:

y + 2 = 3y - 12

Bringing all the y terms to one side and the constant terms to the other side, we get:

2 + 12 = 3y - y

14 = 2y

Dividing both sides by 2, we get:

y = 7

Now that we have the value of y, we can substitute it back into the first equation to find the value of x:

x = y - 4 x = 7 - 4 x = 3

Therefore, the first centipede has 3 legs and the second centipede has 7 legs.

Please let me know if there's anything else I can help you with!