X's age 3 years ago was three times the present age of Y. At present Z's age is twice the age of Y. Also Z is 12 years younger than X. What is the present age of Z ?

X's age 3 years ago was three times the present age of Y. At present Z's age is twice the age of Y. Also Z is 12 years younger than X. What is the present age of Z ? Correct Answer 18 years

Let the present age of Y be a years
Three years ago X's age = 3a years
Then, present age of X is (3a + 3)
Z's present age = 2a
According to question
Now, (3a + 3) - 2a = 12
a = 9 year
∴ Present age of Z = 2a = 2 × 9 = 18 years

Related Questions

Each question below is followed by two statements I and II. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer. 11 Aman is how many years younger than Jadhav? I. Six years back Lokesh was as old as Aman is now. The ratio of age of Lokesh three ago and age of Jadhav 2 years ago was 7 ∶ 11. II. Jadhav is 3 years younger than Ranjit. The ratio of the age of Lokesh 2 years ago and the present age of Ranjit is 3 ∶ 5.