Question: If the present age of C is 3 times that of D and the sum of their ages is 48, what is the present age of D?
Options:
8
12
16
20
Correct Answer: 16
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, wh
Practice Questions
Q1
If the present age of C is 3 times that of D and the sum of their ages is 48, what is the present age of D?
8
12
16
20
Questions & Step-by-Step Solutions
If the present age of C is 3 times that of D and the sum of their ages is 48, what is the present age of D?
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 represent C's age as 3x.
Step 3: According to the problem, the sum of C's age and D's age is 48. We can write this as x + 3x = 48.
Step 4: Combine the terms on the left side: 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 present age is 12.
Algebraic Equations – The question tests the ability to set up and solve a simple algebraic equation based on relationships between variables.
Age Problems – The question involves understanding and solving age-related problems, which often require setting up equations based on given relationships.
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