The sum of the ages of a mother and her daughter is 60 years. If the mother is 4

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Question: The sum of the ages of a mother and her daughter is 60 years. If the mother is 4 times as old as her daughter, how old is the daughter?

Options:

Correct Answer: 10

Solution:

Let the daughter\'s age be x. Then the mother\'s age is 4x. So, x + 4x = 60. Solving gives x = 12.

The sum of the ages of a mother and her daughter is 60 years. If the mother is 4 times as old as her daughter, how old is the daughter?

The sum of the ages of a mother and her daughter is 60 years. If the mother is 4 times as old as her daughter, how old is the daughter?

Correct Answer: 12

Step 1: Let the daughter's age be represented by the variable x.
Step 2: Since the mother is 4 times as old as her daughter, we can represent the mother's age as 4x.
Step 3: According to the problem, the sum of the mother's age and the daughter's age is 60 years. We can write this as: x + 4x = 60.
Step 4: Combine the terms on the left side of the equation: 5x = 60.
Step 5: To find the value of x (the daughter's age), divide both sides of the equation by 5: x = 60 / 5.
Step 6: Calculate the result: x = 12.
Step 7: Therefore, the daughter is 12 years old.

Algebraic Equations – The question tests the ability to set up and solve linear equations based on relationships between variables.
Word Problems – The question involves translating a real-world scenario into a mathematical equation.