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A is 5 years older than B. If the sum of their ages is 45 years, how old is B?

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Question: A is 5 years older than B. If the sum of their ages is 45 years, how old is B?

Options:

  1. 20
  2. 22
  3. 25
  4. 30

Correct Answer: 22

Solution: 

Let B\'s age be x. Then A\'s age is x + 5. So, x + (x + 5) = 45, which gives 2x + 5 = 45, hence 2x = 40, x = 20. Therefore, B is 20 years old.

A is 5 years older than B. If the sum of their ages is 45 years, how old is B?

Practice Questions

Q1
A is 5 years older than B. If the sum of their ages is 45 years, how old is B?
  1. 20
  2. 22
  3. 25
  4. 30

Questions & Step-by-Step Solutions

A is 5 years older than B. If the sum of their ages is 45 years, how old is B?
Correct Answer: 20
  • Step 1: Let B's age be represented by the variable x.
  • Step 2: Since A is 5 years older than B, we can express A's age as x + 5.
  • Step 3: The problem states that the sum of their ages is 45 years. We can write this as an equation: x + (x + 5) = 45.
  • Step 4: Simplify the equation: Combine like terms to get 2x + 5 = 45.
  • Step 5: To isolate the variable, subtract 5 from both sides of the equation: 2x = 40.
  • Step 6: Now, divide both sides by 2 to solve for x: x = 20.
  • Step 7: Since x represents B's age, we conclude that B is 20 years old.
  • Algebraic Equations – The question tests the ability to set up and solve a linear equation based on relationships between variables.
  • Age Problems – The question involves understanding and manipulating age-related relationships to find a solution.
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