Aptitude - Problems on Ages - Discussion
Discussion Forum : Problems on Ages - Data Sufficiency 1 (Q.No. 1)
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. |
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.
Shubham said:
7 years ago
s=d5 then let s value =d5.
then put in (ii) s=25d-120,
d5=25d-120,
120=25d-5d,
120=20d ......then d=6 and s=30.
then put in (ii) s=25d-120,
d5=25d-120,
120=25d-5d,
120=20d ......then d=6 and s=30.
Priya said:
6 years ago
Where did that 4S come from?! Please explain.
A.santhanalakshmi said:
5 years ago
Deepika's present age= x.
Sonia present age=5x.
5x-5=25(x-5),
5x-5=25X-125,
20x-120=0,
x=6.
Sonia's present age = 30.
Sonia present age=5x.
5x-5=25(x-5),
5x-5=25X-125,
20x-120=0,
x=6.
Sonia's present age = 30.
(1)
Priya said:
5 years ago
Sonia's present age =5x, Deepak's present age=x.
Five years ago is past, that is s-5, d-5 formula.
n'times=n*x.
25 times.
Here, s=5D.
D = s/5.
s-5 = 25(D-5).
s-5 = (25 * D) - (25 * 5).
s-5 = 25D-120
D = s/5.
s = (25 * s/5)-120,
4s = 120,
s = 120÷4.
s = 30.
Five years ago is past, that is s-5, d-5 formula.
n'times=n*x.
25 times.
Here, s=5D.
D = s/5.
s-5 = 25(D-5).
s-5 = (25 * D) - (25 * 5).
s-5 = 25D-120
D = s/5.
s = (25 * s/5)-120,
4s = 120,
s = 120÷4.
s = 30.
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