Three years ago, a man was 5 times as old as his son. If the man is currently 38

Practice Questions

Q1
Three years ago, a man was 5 times as old as his son. If the man is currently 38 years old, how old is his son now?
  1. 6
  2. 7
  3. 8
  4. 9

Questions & Step-by-Step Solutions

Three years ago, a man was 5 times as old as his son. If the man is currently 38 years old, how old is his son now?
Correct Answer: 8
  • Step 1: Identify the current age of the man, which is 38 years old.
  • Step 2: Determine the man's age three years ago by subtracting 3 from 38. This gives us 35 years old.
  • Step 3: Let the son's current age be represented by 'x'.
  • Step 4: Calculate the son's age three years ago by subtracting 3 from 'x', which is 'x - 3'.
  • Step 5: According to the problem, three years ago, the man was 5 times as old as his son. This can be written as the equation: 35 = 5(x - 3).
  • Step 6: Solve the equation 35 = 5(x - 3) by first dividing both sides by 5, which gives us 7 = x - 3.
  • Step 7: Add 3 to both sides of the equation to find 'x'. This gives us x = 10.
  • Step 8: Therefore, the son's current age is 10 years old.
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