Multiple choice

$X$ is three times as old as $Y, Z$ was twice as old as $x$ four years ago. In the four year time, $x$ will be of $31$ years. What is the present age of $y$ and $z$.

  1. $9$ years, $46$ years
  2. $9$ years, $50$ years
  3. $10$ years, $46$ years
  4. $10$ years, $50$ years
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Since X will be 31 in four years, X is currently 27. As X is three times Y, Y is 9 years old. Four years ago Z was twice X's age then, so Z - 4 = 2(27 - 4), giving Z = 50.

AI explanation

Let the present ages of X, Y, and Z be x, y, and z. In four years, X will be 31 years old, so x plus 4 equals 31, meaning x is 27. X is three times as old as Y, so y equals 27 divided by 3, which is 9. Four years ago, Z was twice as old as X, giving the equation z minus 4 equals 2 times (27 minus 4), so z minus 4 equals 46 and z equals 50. The present ages of Y and Z are 9 years and 50 years.