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

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Question: 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?

Options:

Correct Answer: 12

Solution:

Let D\'s age be x. Then C\'s age is 3x. So, x + 3x = 48, which gives 4x = 48, hence x = 12.

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.