Question

Бабушка старше мамы в 2 раза, а дочь младше матери на 22 года. Вместе им 114 лет. Сколько лет бабушке?

Answer 1

пусть матери х лет, тогда бабушке - 2х лет, а дочери - (х-22) лет

х+2х+(х-22)=114

4х=114+22

4х=136

х=34

34 года - матери

34*2=68 лет бабушке

34-22=12 лет дочери

Answer 2

пусть х лет маме,то 2х лет бабушке, а х-22 лет дочери

х+2х+х-22=114

4х=136

х=34 лет маме а бабушке 2*34=68

Answer 3

Problem Analysis

We are given the following information: - The grandmother is twice as old as the mother. - The daughter is 22 years younger than the mother. - The combined ages of the grandmother, mother, and daughter is 114 years.

We need to determine the age of the grandmother.

Solution

Let's assume the age of the mother is x years.

According to the given information, the grandmother is twice as old as the mother, so her age is 2x years.

The daughter is 22 years younger than the mother, so her age is x - 22 years.

The sum of their ages is 114 years, so we can write the equation:

x + 2x + (x - 22) = 114

Simplifying the equation:

4x - 22 = 114

Adding 22 to both sides:

4x = 136

Dividing both sides by 4:

x = 34

Therefore, the age of the mother is 34 years.

The age of the grandmother is twice the age of the mother, so:

Grandmother's age = 2 * 34 = 68 years

So, the grandmother is 68 years old.

Answer

The grandmother is 68 years old.