A man is 3 times as old as his son. If the sum of their ages is 48 years, how ol

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Question: A man is 3 times as old as his son. If the sum of their ages is 48 years, how old is the son?

Options:

Correct Answer: 16

Solution:

Let the son\'s age be x. Then the man\'s age is 3x. So, x + 3x = 48. Solving gives x = 12.

A man is 3 times as old as his son. If the sum of their ages is 48 years, how old is the son?

A man is 3 times as old as his son. If the sum of their ages is 48 years, how old is the son?

Correct Answer: 12

Step 1: Let the son's age be represented by the variable x.
Step 2: Since the man is 3 times as old as his son, we can represent the man's age as 3x.
Step 3: Now, we know that the sum of their ages is 48 years. 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 (the son's age), divide both sides of the equation by 4: x = 48 / 4.
Step 6: Calculate the result: x = 12.

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