The sum of the ages of a mother and her daughter is 50 years. If the mother is 4

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Question: The sum of the ages of a mother and her daughter is 50 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. The equation is x + 4x = 50, which simplifies to 5x = 50, so x = 10.

The sum of the ages of a mother and her daughter is 50 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 50 years. If the mother is 4 times as old as her daughter, how old is the daughter?

Correct Answer: 10

Step 1: Let the daughter's age be represented by '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 50 years. We can write this as the equation: x + 4x = 50.
Step 4: Combine the terms on the left side of the equation: 5x = 50.
Step 5: To find the value of 'x', divide both sides of the equation by 5: x = 50 / 5.
Step 6: Calculate the result: x = 10.
Step 7: Therefore, the daughter's age is 10 years.

Algebraic Equations – The question tests the ability to set up and solve a linear equation based on a word problem involving relationships between ages.
Age Relationships – Understanding how to express relationships between two people's ages using variables.