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A is 4 years older than B. If the sum of their ages is 28 years, how old is A?

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Question: A is 4 years older than B. If the sum of their ages is 28 years, how old is A?

Options:

  1. 12
  2. 14
  3. 16
  4. 18

Correct Answer: 16

Solution: 

Let B\'s age be x. Then A\'s age is x + 4. So, x + (x + 4) = 28. Solving gives x = 12, so A = 16.

A is 4 years older than B. If the sum of their ages is 28 years, how old is A?

Practice Questions

Q1
A is 4 years older than B. If the sum of their ages is 28 years, how old is A?
  1. 12
  2. 14
  3. 16
  4. 18

Questions & Step-by-Step Solutions

A is 4 years older than B. If the sum of their ages is 28 years, how old is A?
Correct Answer: 16
  • Step 1: Let B's age be represented by the variable x.
  • Step 2: Since A is 4 years older than B, we can express A's age as x + 4.
  • Step 3: The problem states that the sum of A's age and B's age is 28 years. We can write this as: x + (x + 4) = 28.
  • Step 4: Simplify the equation: Combine like terms to get 2x + 4 = 28.
  • Step 5: Subtract 4 from both sides of the equation: 2x = 28 - 4, which simplifies to 2x = 24.
  • Step 6: Divide both sides by 2 to solve for x: x = 24 / 2, which gives x = 12.
  • Step 7: Now that we know B's age (x) is 12, we can find A's age: A = x + 4 = 12 + 4, which equals 16.
  • Algebraic Expressions – The question tests the ability to set up and solve equations based on relationships between variables.
  • Age Problems – It involves understanding how to express age relationships and solve for unknowns.
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