Multiple choice

A man is five times as old as his son. After $2$ years the man will be four times as old as his son. What is the present age of the man?

  1. $35\ years$
  2. $30\ years$
  3. $6\ years$
  4. $31\ years$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let son's age be x, man's age be 5x. After 2 years: 5x + 2 = 4(x + 2). 5x + 2 = 4x + 8. x = 6. Man's age = 5 * 6 = 30.

AI explanation

Let the son's present age be $x$ years, making the man's present age $5x$. In 2 years, the son will be $x + 2$ and the man will be $5x + 2$. Setting up the equation based on the future ages gives $5x + 2 = 4(x + 2)$. Solving this yields $5x + 2 = 4x + 8$, so $x = 6$. The man's present age is 5 multiplied by 6, which is 30 years.

Keep practicing — related questions