Question

Отношение двух чисел равно 2:3. Если к первому числу прибавить 10, то их отношение будет равно 4:5. Найдите эти числа. Решите плиз поскорее надо срочно первому лучшее решение!!!;)

Answer 1

х/у=2/3

3х=2у

 

(х+10)/у=4/5

5х+50=4у

2у=2,5х+25

 

3х=2,5х+25

0,5х=25

х=50

у=75

Answer 2

Problem Analysis

We are given that the ratio of two numbers is 2:3. When we add 10 to the first number, the ratio becomes 4:5. We need to find these two numbers.

Solution

Let's assume the first number is x and the second number is y.

According to the given information, we have two equations:

Equation 1: x/y = 2/3 (1)

Equation 2: (x+10)/y = 4/5 (2)

To solve this system of equations, we can use the method of substitution or elimination. Let's use the method of substitution.

From Equation 1, we can express x in terms of y:

x = (2/3)y (3)

Substituting Equation 3 into Equation 2, we get:

((2/3)y + 10)/y = 4/5

Simplifying the equation:

5(2y + 30) = 4(3y)

10y + 150 = 12y

150 = 2y

y = 75

Substituting the value of y back into Equation 3, we can find x:

x = (2/3)(75)

x = 50

Therefore, the two numbers are 50 and 75.

Answer

The two numbers are 50 and 75.