Question

9. John has double the money of Nick, but he spent 50€ and now he has less than Nick. Prove that Nick has less than 50€. What’s the answer for this math problem?

Answer 1

Пусть у Ника было х евро, значит у джона было 2х. Джон потратил деньги и у него осталось: 2х-50. Это должно не превышать количество денег Ника. Выходит:

2х-50<х
х-50<0
х<50
Что и требовалось доказать.



Вот перевод задачи, если нужно:
У Джона было вдвое больше денег чем у ника, но он потратил 50 € и сейчас у него меньше чем у Ника. Докажите что у ника была меньше чем 50 €

Answer 2

Let's use algebra to solve this problem. Let N represent the amount of money Nick has, and J represent the amount of money John has.

According to the problem, John has double the money of Nick, so we can write this as:

J = 2N

Now, it's mentioned that John spent 50€, so his new amount of money is less than Nick's. We can express this as:

J - 50€ < N

Now, substitute the value of J from the first equation into the second equation:

2N - 50€ < N

Subtract N from both sides of the inequality:

N - 50€ < 0

Now, add 50€ to both sides of the inequality:

N < 50€

So, we have proven that Nick has less than 50€. The answer to the math problem is that Nick has less than 50€.