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

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

Options:

  1. 36
  2. 24
  3. 12
  4. 18

Correct Answer: 36

Solution: 

Let B\'s age be x. Then A\'s age is 3x. So, x + 3x = 48, which gives 4x = 48, hence x = 12. Therefore, A is 3 * 12 = 36 years old.

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

Practice Questions

Q1
A is 3 times as old as B. If the sum of their ages is 48 years, how old is A?
  1. 36
  2. 24
  3. 12
  4. 18

Questions & Step-by-Step Solutions

A is 3 times as old as B. If the sum of their ages is 48 years, how old is A?
Correct Answer: 36
  • Step 1: Let B's age be represented by the variable x.
  • Step 2: Since A is 3 times as old as B, we can express A's age as 3x.
  • Step 3: The problem states that the sum of A's age and B's age is 48 years. 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 value: x = 12. This means B is 12 years old.
  • Step 7: Now, to find A's age, multiply B's age by 3: A's age = 3 * 12.
  • Step 8: Calculate A's age: A = 36 years old.
  • Algebraic Equations – The question tests the ability to set up and solve linear equations based on relationships between variables.
  • Age Problems – The question involves understanding and manipulating age-related problems, which often require setting up equations based on given relationships.
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