Question

Маме, бабушке и внучке 119 лет. Внучка моложе мамы на 28 лет и моложе бабушки на 49 лет. Сколько лет каждой?

Answer 1

Х-лет внучке
х+28-лет маме
х+49-лет бабушке

х+х+28+х+49=119
3х=42
х=42/3=14 лет внучке
14+28=42-маме
14+49=63- бабушке

Answer 2

Problem Analysis

We are given the ages of a mother, grandmother, and granddaughter. The granddaughter is 28 years younger than her mother and 49 years younger than her grandmother. We need to determine the age of each person.

Solution

Let's assign variables to represent the ages of the mother, grandmother, and granddaughter. We'll use the following variables: - Let M represent the age of the mother. - Let G represent the age of the grandmother. - Let D represent the age of the granddaughter.

Based on the given information, we can form the following equations: 1. The granddaughter is 28 years younger than her mother: D = M - 28. 2. The granddaughter is 49 years younger than her grandmother: D = G - 49.

To solve this system of equations, we can substitute the value of D from equation 1 into equation 2: M - 28 = G - 49.

Now, let's solve this equation to find the values of M and G.

Solving the Equations

To solve the equation M - 28 = G - 49, we can rearrange it to isolate one variable: M - G = 49 - 28.

Simplifying the equation, we get: M - G = 21.

Now, we have one equation with two variables. We need another equation to solve for the values of M and G.

Additional Information

We need more information to determine the ages of the mother and grandmother. The given problem statement does not provide any additional information. Therefore, we cannot determine the exact ages of the mother and grandmother based on the given information.

If you have any additional information or if there is anything else I can assist you with, please let me know!