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The sum of the ages of A and B is 50 years. If A is 10 years older than B, what

Practice Questions

Q1
The sum of the ages of A and B is 50 years. If A is 10 years older than B, what is B's age?
  1. 20
  2. 25
  3. 30
  4. 15

Questions & Step-by-Step Solutions

The sum of the ages of A and B is 50 years. If A is 10 years older than B, what is B's age?
  • Step 1: Let B's age be represented by the variable x.
  • Step 2: Since A is 10 years older than B, we can express A's age as x + 10.
  • Step 3: According to the problem, the sum of A's age and B's age is 50 years. We can write this as: x + (x + 10) = 50.
  • Step 4: Simplify the equation: Combine like terms to get 2x + 10 = 50.
  • Step 5: Subtract 10 from both sides of the equation: 2x = 40.
  • Step 6: Divide both sides by 2 to find x: x = 20.
  • Step 7: Therefore, B's age is 20 years.
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