Multiple choice

Three years ago, Xs age was 10% more than that of Y and Z's age was 35% more than that of Y. At present, Zs age is 20% more than that of X. What is the present age of Y?

  1. 20 years

  2. 22 years

  3. 23 years

  4. 24 years

  5. 25 years
Reveal answer Fill a bubble to check yourself
C Correct answer
AI explanation

Let the ages of X, Y, and Z three years ago be 1.1Y, Y, and 1.35Y respectively. Their present ages are therefore 1.1Y + 3, Y + 3, and 1.35Y + 3. The problem states that Z's present age is 20% more than X's present age, giving the equation 1.35Y + 3 = 1.2(1.1Y + 3). Expanding this yields 1.35Y + 3 = 1.32Y + 3.6, which simplifies to 0.03Y = 0.6. Solving for Y gives a value of 20, meaning Y's present age is 23 years.

Keep practicing — related questions