Question: At present, Pia is 6 yr older to Ray. The respective ratio between the present ages of Pia and Mini is 3: 4. At present, Ray is 14 yr younger to Mini, What is Ray’s present age?
Options:
A) 16 yr
B) 20 yr
C) 14 yr
D) 18 yr
E) 24 yr
Show Answer
Answer:
Correct Answer: D
Solution:
- Let Mini’s age be x yr.
Then, Pia’s present age $ =\frac{3x}{4}yr $
Ray’s present age $ =(x-14),yr $
According to the question,
$ \frac{3x}{4}=(x-14)+6 $
$ \Rightarrow $ $ \frac{3x}{4}=x-8 $
$ \Rightarrow $ $ 3x=4x-32 $
$ \Rightarrow $ $ -x=-,32 $
$ \Rightarrow $ $ x=32 $
$ \therefore $ Ray’s present age $ =32-14=18,yr $