| 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? |
A) 16 yr
B) 20 yr
C) 14 yr
D) 18 yr
E) 24 yr
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 \[=32-14=18\,yr\] |
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