Question: X’s age 3 yr ago was three times the present age of Y. At present, Z’s age is twice the age of Y. Also Z is 12 yr younger than X. What is the present age of Z?
Options:
A) 15 yr
B) 24 yr
C) 12 yr
D) 6 yr
E) 18 yr
Show Answer
Answer:
Correct Answer: E
Solution:
- Let the present age of Y be t yr.
Then, present age of X is $ (3t+3). $
Z’s present age
Now, $ (3t+3)-2t=12 $
$ \Rightarrow $ $ t=9,yr $
$ \therefore $ Present age of $ Z=18,yr $