If the present age of C is 3 times that of D, and the sum of their ages is 48 ye

If the present age of C is 3 times that of D, and the sum of their ages is 48 years, what is D's age?

If the present age of C is 3 times that of D, and the sum of their ages is 48 years, what is D's age?

Correct Answer: 12

Step 1: Let D's age be represented by the variable x.
Step 2: Since C's age is 3 times D's age, we can express C'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, divide both sides of the equation by 4: x = 48 / 4.
Step 6: Calculate the result: x = 12.
Step 7: Therefore, D's age is 12 years.

Algebraic Equations – The question tests the ability to set up and solve linear equations based on relationships between variables.
Age Problems – It specifically focuses on age-related problems, which often involve setting up equations based on given ratios and sums.