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A is 3 years older than B. If the sum of their ages is 27, how old is B?

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Question: A is 3 years older than B. If the sum of their ages is 27, how old is B?

Options:

  1. 10
  2. 12
  3. 13
  4. 15

Correct Answer: 12

Solution: 

Let B\'s age be x. Then A\'s age is x + 3. So, x + (x + 3) = 27. Solving gives x = 12.

A is 3 years older than B. If the sum of their ages is 27, how old is B?

Practice Questions

Q1
A is 3 years older than B. If the sum of their ages is 27, how old is B?
  1. 10
  2. 12
  3. 13
  4. 15

Questions & Step-by-Step Solutions

A is 3 years older than B. If the sum of their ages is 27, how old is B?
Correct Answer: 12
  • Step 1: Let B's age be represented by the variable x.
  • Step 2: Since A is 3 years older than B, we can express A's age as x + 3.
  • Step 3: The problem states that the sum of their ages is 27. We can write this as an equation: x + (x + 3) = 27.
  • Step 4: Simplify the equation: Combine like terms to get 2x + 3 = 27.
  • Step 5: Subtract 3 from both sides of the equation: 2x = 27 - 3, 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: Therefore, B's 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 how to express age relationships and sums in algebraic form.
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