Aptitude - Problems on Ages - Discussion

Discussion Forum : Problems on Ages - Data Sufficiency 1 (Q.No. 3)
Directions to Solve

Each of the questions given below consists of a statement and / or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is / are sufficient to answer the given question. Read the both statements and

  • Give answer (A) if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
  • Give answer (B) if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
  • Give answer (C) if the data either in Statement I or in Statement II alone are sufficient to answer the question.
  • Give answer (D) if the data even in both Statements I and II together are not sufficient to answer the question.
  • Give answer(E) if the data in both Statements I and II together are necessary to answer the question.

3.

Divya is twice as old as Shruti. What is the difference in their ages?

I. 

Five years hence, the ratio of their ages would be 9 : 5.

 II. 

Ten years back, the ratio of their ages was 3 : 1.

I alone sufficient while II alone not sufficient to answer
II alone sufficient while I alone not sufficient to answer
Either I or II alone sufficient to answer
Both I and II are not sufficient to answer
Both I and II are necessary to answer
Answer: Option
Explanation:

Let Divya's present age be D years and Shruti's present age b S years

Then, D = 2 x S       D - 2S = 0 ....(i)

 I. D + 5 = 9 ....(ii)
S + 5 5

II. D - 10 = 3 ....(iii)
S - 10 1

From (ii), we get : 5D + 25 = 9S + 45       5D - 9S = 20 ....(iv)

From (iii), we get : D - 10 = 3S - 30       D - 3S = -20 ....(v)

Thus, from (i) and (ii), we get the answer.

Also, from (i) and (iii), we get the answer.

I alone as well as II alone give the answer. Hence, the correct answer is (C).

Discussion:
12 comments Page 1 of 2.

Aravindhan Lakshmanan said:   5 years ago
Given, Divya=2 x Shurthi (take this as equation *)
take, Divya=D.
Shurthi=S.

5 years hence,so;
D+5/S+5 = 9/5.
we get, 5D+25 = 9S+45(take this as equation 1).

and TEN YEARS BACK,so;
D-10/S-10 = 3/1.
we get, D-10 = 3S-30(take this as equation 2).

Now substitute equation * in equation 1 and solve ,we get S=20
Now substitute S = 20 in equation 2 ,we get D=40.

So now we got D=40 and S=20, so the ratio is 1:2.

Nisha said:   5 years ago
Can't we solve it like this: 2x+5/x+5 = 9/5?
Why do we complicate it by taking Divya's age = 2*S?

Mamata mohanty said:   6 years ago
Please explain the solution clearly.

Karthiga S said:   7 years ago
@Surya.

The age of Rahul when his son born was 84.
sol: X=1/6 X + 1/12X + 1/7 X +5 + 1/2 X + 4.
If you solve this you will get 84.

Mia said:   7 years ago
@Shef,

I think Divya's age will be 40 and Shruti's age will be 20.

Shef said:   7 years ago
For Question 3) Let's Shruti's age be x and Divya's age be 2x.

Then according to first condition 5 year hence the ratio will be: 2x+5/x+5=9/5.

And second condition 10 year back hence the ratio will be:2x-10/x-10=3/1.

Hence solving anyone of the equation we will get x=20 i.e. age of divya is 20 and shruti's age is 40.

Lokesh said:   8 years ago
What are their present ages?

Onkar said:   8 years ago
Rahul spent one-sixth of his life as a boy, one-twelfth as youngster and one-seventh as a bachelor. Five years hence, a son was born. When the son's age is half the measure of Rahul's life, Rahul fell ill. After surviving for four years, his life ended. What was the age of Rahul when his son was born?

Please answer it.
(1)

Surya said:   8 years ago
I want an answer for this question.

Rahul spent one-sixth of his life as a boy, one-twelfth as youngster and one-seventh as a bachelor. Five years hence, a son was born. When the son's age is half the measure of rahul's life, rahul fell ill. After surviving for four years, his life ended. What was the age of rahul when his son was born?

Kashinath NA said:   8 years ago
If the answers are different in individual cases then?


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