Question

Начерти схему,и реши задачу. трем сестрам вместе 100лет. младшей и средней вместе 64года,а старшей и средней вместе 70лет.сколько лет каждой сестре?

Answer 1

1)100-70=30лет-младшей.
2)100-64=36лет-старшей.
3)70-36=34года-средней.

Answer 2

Х+y+z=100
x+y=64
y+z=70

подставляем значение x+y=64 в главное выражение
64+z=100
z=100-64=36 лет старшей сестре
y+z=70
y+36=70
y=34 года средней сестре

x+y+z=100
x+34+36=100
x+70=100
x=30 лет младшей сестре
Ответ: 36 лет старшей, 34 года средней и 30 лет младшей

Answer 3

Solving the Problem

To solve the problem, we can use a system of equations. Let's denote the ages of the youngest, middle, and oldest sisters as Y, M, and O, respectively. We know that: 1. Y + M + O = 100 (the sum of their ages is 100 years) 2. Y + M = 64 (the sum of the youngest and middle sister's ages is 64 years) 3. O + M = 70 (the sum of the oldest and middle sister's ages is 70 years)

We can solve these equations to find the ages of each sister.

First, we can find the age of the middle sister by subtracting the youngest sister's age from the sum of all three sisters' ages: O = 100 - Y - M

Then, we can substitute this expression for O into the equation O + M = 70 to solve for M.

Let's proceed with the calculations.

Calculations

Substituting the expression for O into the equation O + M = 70: (100 - Y - M) + M = 70 Simplifying, we get: 100 - Y = 70 So, Y = 100 - 70 = 30

Now that we have the age of the youngest sister, we can find the age of the middle sister: M = 64 - Y = 64 - 30 = 34

Finally, we can find the age of the oldest sister: O = 100 - Y - M = 100 - 30 - 34 = 36

Answer

The ages of the three sisters are: - Youngest sister: 30 years old - Middle sister: 34 years old - Oldest sister: 36 years old