Question

Елдос задумал четыре числа,отношение которых равно 2 : 3 : 5 : 8.Сумма первого и третьего чисел равна 84.Какие числа задумал Елдос?

Answer 1

1-е число = 2x
2-е число = 3x
3-е число = 5x
4-е число = 8x

1-е плюс 3-е = 2x + 5x = 84
7x = 84
x = 12

Числа:
24; 36; 60; 96

Answer 2

2х+5х=84
7х=84
х=12
2•12=24
3•12=36
5•12=60
8•12=96
Елдос задумал: 24, 36, 60, 96.

Answer 3

Solution:

To solve this problem, we can set up a system of equations based on the given information and then solve for the unknown numbers.

Let's denote the four numbers as a, b, c, and d. We are given the following information: 1. The ratio of the numbers is 2:3:5:8. 2. The sum of the first and third numbers is 84.

We can express the numbers in terms of the ratio as follows: - a = 2x - b = 3x - c = 5x - d = 8x

Where x is a common multiplier.

The sum of the first and third numbers is 84, so we can write the equation: a + c = 84

Substituting the expressions for a and c: 2x + 5x = 84 7x = 84 x = 12

Now that we have the value of x, we can find the actual numbers: - a = 2x = 2 * 12 = 24 - b = 3x = 3 * 12 = 36 - c = 5x = 5 * 12 = 60 - d = 8x = 8 * 12 = 96

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