Discussion :: Problems on Ages

What is the present age of Tanya?
I.
The ratio between the present ages of Tanya and her brother Rahul is 3 : 4 respectively.
II.
After 5 years the ratio between the ages of Tanya and Rahul will be 4 : 5.
III.
Rahul is 5 years older than Tanya.
Answer : Option E
Explanation :
I. Let the present ages of Tanya and Rahul be 3x years and 4x years.
II. After 5 years, (Tanya's age) : (Rahul's age) = 4 : 5.
III. (Rahul's age) = (Tanya's age) + 5.
From I and II, we get\(\frac { 3X+5} { 4X+5 } \)=\( \frac {4 } { 5 } \)This gives x.
Tanya's age = 3x can be found. Thus, I and II give the answer.
From I and III, we get 4x = 3x + 5. This gives x.
Tanya's age = 3x can be found. Thus, I and III give the answer.
From III : Let Tanya's present age be t years.
Then Rahul's present age = (t + 5) years.
Thus, from II and III, we get :\(\frac { t } {t+5 } \)=\( \frac {4 } { 5 } \)This gives t
Thus, II and III give the answer.
Correct answer is (E).
Be The First To Comment