Discussion :: Problems on Ages

What is Ravi's present age?
I.
The present age of Ravi is half of that of his father.
II.
After 5 years, the ratio of Ravi's age to that of his father's age will be 6 : 11.
III.
Ravi is 5 years younger than his brother.
A.
I and II only 
B.
II and III only 
C.
I and III only 
D.
All I, II and III 
E.
Even with all the three statements answer cannot be determined. 
Answer : Option A
Explanation :
I. Let Ravi's present age be x years. Then, his father's present age = 2x years.
II. After 5 years,\( \frac { \text{Ravi's age} } { \text{Father's age} } \)=\( \frac { 6} { 11 }\)
III. Ravi is younger than his brother.
From I and II, we get,\( \frac {X+5 } { 2X+5 } \)=\( \frac { 6} { 11 }\)This gives x, the answer
Thus, I and II together give the answer. Clearly, III is redundant.
Correct answer is (A).
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