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Aptitude - Problems on Ages - Discussion

Discussion Forum : Problems on Ages - Data Sufficiency 1 (Q.No. 1)
Problems on Ages
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.
1.

What is Sonia's present age?

I. 

Sonia's present age is five times Deepak's present age.

 II. 

Five years ago her age was twenty-five times Deepak's age at that time.

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:

 I. S = 5D    D = S ....(i)
5

II. S - 5 = 25 (D - 5)    S = 25D - 120 ....(ii)

Using (i) in (ii), we get S = 25 x S - 120
5

4S = 120.

S = 30.

Thus, I and II both together give the answer. So, correct answer is (E).

Discussion:
14 comments Page 2 of 2.
Santosh patil said:   10 years ago
II. S-5 = 25 (D-5) S = 25D - 120......(ii)

25*d = 25d.... & 25*5= 125 ok then 120 is what?
Palak said:   1 decade ago
Geeta and deb-in 1st sonia's(S) age is 5 time the deepak(D) present age i.e S=5D OR D=S/5
in 2nd equation,5 years ago her age was 25 times the deepak at that time,i.e we deduce ages for 5 yrs ago i.e -5 or S-5 IS 25(D-5)as deepak age is also reduce by 5 from present age.on solving the equation comes S=25D-120.on putting value of D from first eqnt into 2nd we can get S i.e 30
Deb said:   1 decade ago
I don't understand this method please another method give and help me.
Geetha said:   1 decade ago
I can't understand this.

Can anyone explain this in detail.
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