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A woman is 3 years older than her brother. If the sum of their ages is 27 years,

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

Options:

  1. 12
  2. 10
  3. 15
  4. 9

Correct Answer: 10

Solution: 

Let the brother\'s age be x. Then the woman\'s age is x + 3. The equation is x + (x + 3) = 27, which simplifies to 2x + 3 = 27, so 2x = 24, and x = 12.

A woman is 3 years older than her brother. If the sum of their ages is 27 years,

Practice Questions

Q1
A woman is 3 years older than her brother. If the sum of their ages is 27 years, how old is the brother?
  1. 12
  2. 10
  3. 15
  4. 9

Questions & Step-by-Step Solutions

A woman is 3 years older than her brother. If the sum of their ages is 27 years, how old is the brother?
Correct Answer: 12
  • Step 1: Let the brother's age be represented by the variable x.
  • Step 2: Since the woman is 3 years older than her brother, we can express her age as x + 3.
  • Step 3: According to the problem, the sum of their ages is 27 years. 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: To isolate the variable, subtract 3 from both sides of the equation: 2x = 27 - 3, which simplifies to 2x = 24.
  • Step 6: Now, divide both sides by 2 to solve for x: x = 24 / 2, which gives x = 12.
  • Step 7: Therefore, the brother's age is 12 years.
  • Algebraic Equations – The question tests the ability to set up and solve a simple algebraic equation based on relationships between ages.
  • Age Relationships – Understanding how to express age differences and sums in mathematical terms.
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