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The ratio of the ages of A and B is 3:4. If A is 12 years old, how old is B? (20

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Question: The ratio of the ages of A and B is 3:4. If A is 12 years old, how old is B? (2022)

Options:

  1. 16 years
  2. 18 years
  3. 20 years
  4. 24 years

Correct Answer: 16 years

Exam Year: 2022

Solution:

If A\'s age is 12, then B\'s age = (4/3) * 12 = 16 years.

The ratio of the ages of A and B is 3:4. If A is 12 years old, how old is B? (20

Practice Questions

Q1
The ratio of the ages of A and B is 3:4. If A is 12 years old, how old is B? (2022)
  1. 16 years
  2. 18 years
  3. 20 years
  4. 24 years

Questions & Step-by-Step Solutions

The ratio of the ages of A and B is 3:4. If A is 12 years old, how old is B? (2022)
  • Step 1: Understand the ratio of ages. The ratio of A's age to B's age is 3:4.
  • Step 2: Identify A's age. A is 12 years old.
  • Step 3: Set up the relationship using the ratio. If A's age is 3 parts, then B's age is 4 parts.
  • Step 4: Find the value of one part. Since A's age (12) represents 3 parts, we can find the value of one part by dividing A's age by 3: 12 / 3 = 4.
  • Step 5: Calculate B's age. Since B's age is 4 parts, we multiply the value of one part (4) by 4: 4 * 4 = 16.
  • Step 6: Conclude that B is 16 years old.
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