Math Problem Statement

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Solution

The text in the image is in Vietnamese. It can be translated to English as follows:

Problem 60: The mother gave birth to the child when she was 24 years old. Currently, the mother's age is four times the child's age. Calculate the mother's age in 2 more years.

Let's denote the current age of the child as xx years.

  1. Given that the mother gave birth to the child when she was 24 years old, the mother's current age is x+24x + 24 years.
  2. It is also given that the mother's current age is four times the child's current age, which can be written as x+24=4xx + 24 = 4x.

We can solve this equation for xx:

x+24=4xx + 24 = 4x 24=3x24 = 3x x=8x = 8

So, the child is currently 8 years old. This means the mother is currently:

x+24=8+24=32 years oldx + 24 = 8 + 24 = 32 \text{ years old}

Now, we need to calculate the mother's age in 2 more years:

32+2=34 years old32 + 2 = 34 \text{ years old}

Therefore, the mother's age in 2 more years will be 34 years old.

Do you want details or have any questions?

Here are some questions you might want to ask:

  1. How can we check if our solution is correct?
  2. What are the steps to solve similar age-related problems?
  3. Can you explain the method used to solve the equation in detail?
  4. Are there alternative methods to solve this type of problem?
  5. How can we generalize this solution for different initial conditions?

Tip: When solving age-related problems, always set up an equation based on the given relationships and then solve for the unknown variable step by step.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

Equation solving

Theorems

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Suitable Grade Level

Grades 6-8