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### Discussion :: Problems on Ages

1. 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.

2.  A. I and II only B. II and III only C. I and III only D. All I, II and III E. Any two of the three

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).

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