Aptitude - Problems on Ages - Discussion

Each of the questions given below consists of a question followed by three statements. You have to study the question and the statements and decide which of the statement(s) is/are necessary to answer the question.

3. 

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.

[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 3x + 5 = 4 . This gives x.
4x + 5 5

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 : t = 4 . This gives t.
t + 5 5

Thus, II and III give the answer.

Correct answer is (E).


Ram Hari said: (May 13, 2012)  
For the third statement,
Tanya's age after 5 years and not the present age as mentioned above is assumed to be 't' years.

If Tanya's present age be 't' tears as mentioned above, then on solving with statement II we get 't' i.e. the present age to be 20. This contradicts the solution from the first two statements.

Bhargav said: (Sep 8, 2013)  
Present age of Tanya 15 and Rahul 20.

Hence Statement 1 is true 3:4.

After 5 years 20 and 25 Hence 4:5 is also true.

Rahul is 5 years older than Tanya is True.

Gayatree said: (Jan 19, 2014)  
I am confuse that when to take different variable like x and y and when we have to take same variables like in this case.

Kasi said: (Jul 17, 2015)  
Take some x, then ratio = 3x+5/4x+5 after 5 years.

Then present ratio will (3x+5)/(4x+5) = 4/5, on solving we get x = 5.

Then there age will 15, 20.

Krishna said: (Aug 26, 2016)  
Isn't t/(t+5) supposed to be in the ratio 3/4 since we are considering the present age?

Latha Bv said: (Sep 9, 2016)  
After considering 2 & 3 statements we get the value of t and now we find the present age of Tanya, now we have to use the first statement so by using all 3 statements we get the present age of Tanya are else by using only 1 & 2 we get the present age of Tanya and by using 1 & 3 we get the present age of Tanya.

So the answer E is correct.

Jeevan said: (Jan 26, 2017)  
But if we use 2 and 3 how will we know?

A.Gopi said: (Oct 6, 2018)  
The present age of Tanya is 15 and Rahul is 20,
So Rahul is 5 years than Tanya,
So all statements correct.

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