If the age of a woman is 3 times the age of her daughter and the sum of their ag

If the age of a woman is 3 times the age of her daughter and the sum of their ages is 48, what is the age of the daughter?

If the age of a woman is 3 times the age of her daughter and the sum of their ages is 48, what is the age of the daughter?

Correct Answer: 12

Step 1: Let the daughter's age be represented by the variable x.
Step 2: Since the woman's age is 3 times the daughter's age, we can represent the woman's age as 3x.
Step 3: Now, we know that the sum of their ages is 48. We can write this as an equation: x + 3x = 48.
Step 4: Combine the terms on the left side of the equation: 4x = 48.
Step 5: To find the value of x, divide both sides of the equation by 4: x = 48 / 4.
Step 6: Calculate the result: x = 12.
Step 7: Therefore, the daughter's age is 12.

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