Question

Ельдос задумал 4 числа, отношений которых 2:3:5:8. Сумма первого и третьего чисел равна 84. Какие числа задумал Ельдос?

Answer 1

Пусть х - коэффициент пропорциональности, тогда 2х - первое число, 3х - второе число, 5х - третье число, 8х - четвёртое число. Сумма первого и третьего чисел равна 84. Уравнение:
2х + 5х = 84
7х = 84
х = 84 : 7
х = 12
2х = 2 * 12 = 24 - первое число
3х = 3 * 12 = 36 - второе число
5х = 5 * 12 = 60 - третье число
8х = 8 * 12 = 96 - четвёртое число
Ответ: 24, 36, 60 и 92 - задуманные числа.

Answer 2

Solution to Eldos' Problem

To solve Eldos' problem, we can use a system of equations to find the values of the numbers he has in mind.

Let's denote the numbers as follows: - The first number as 2x - The second number as 3x - The third number as 5x - The fourth number as 8x

According to the given information, the sum of the first and third numbers is 84. This can be represented as the equation: 2x + 5x = 84

Solving for x: 7x = 84 x = 12

Now that we have the value of x, we can find the numbers Eldos has in mind: - The first number: 2x = 2 * 12 = 24 - The second number: 3x = 3 * 12 = 36 - The third number: 5x = 5 * 12 = 60 - The fourth number: 8x = 8 * 12 = 96

So, the numbers Eldos has in mind are 24, 36, 60, and 96.