# Aptitude - Problems on Ages - Discussion

Discussion Forum : Problems on Ages - Data Sufficiency 2 (Q.No. 1)

*Directions to Solve*

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.

1.

What is Arun's present age? | |

I. | Five years ago, Arun's age was double that of his son's age at that time. |

II. | Present ages of Arun and his son are in the ratio of 11 : 6 respectively. |

III. | Five years hence, the respective ratio of Arun's age and his son's age will become 12 : 7. |

Answer: Option

Explanation:

II. Let the present ages of Arun and his son be 11*x* and 6*x* years respectively.

I. 5 years ago, Arun's age = 2 x His son's age.

III. 5 years hence, | Arun's Age | = | 12 |

Son's age | 7 |

Clearly, any two of the above will give Arun's present age.

Correct answer is (D).

Discussion:

28 comments Page 1 of 3.
Aiswarya said:
3 years ago

5 years hence means after 5 years.

Am I right?

Am I right?

(7)

BhumikaNegi said:
3 years ago

1 and 2 is also valid because.

From 1 we get : x - 5 = 2x i.e x= x-5/2.

From 2 we get : 12x + 5 = 7x + 5.

By putting 1 in 2 , we get 12(x-5/2) + 5 = 7(x-5/2)+5,

i.e 12x - 50 = 7x -25.

x = 5.

From 1 we get : x - 5 = 2x i.e x= x-5/2.

From 2 we get : 12x + 5 = 7x + 5.

By putting 1 in 2 , we get 12(x-5/2) + 5 = 7(x-5/2)+5,

i.e 12x - 50 = 7x -25.

x = 5.

(2)

Prott said:
4 years ago

All the 3 options are correct in case of Arun's present age being 55 and his Son's present age being 30.

(i) 5y ago, Arun was at 50, his son's was at 25- satisfying the condition.

(ii) At present, 55:30=11:6, satisfies the condition again.

(iii) 5y hence, Arun will be 60, his son will be 35 (the ratio is 60:35=12:7)- satisfies the condition as well.

(i) 5y ago, Arun was at 50, his son's was at 25- satisfying the condition.

(ii) At present, 55:30=11:6, satisfies the condition again.

(iii) 5y hence, Arun will be 60, his son will be 35 (the ratio is 60:35=12:7)- satisfies the condition as well.

(4)

Bangari potla said:
4 years ago

Thanks all for explaining the answer.

(1)

Bangari potla said:
4 years ago

What is the meaning of five years hence? Please tell me.

Shubham said:
4 years ago

Simna here is your answer.

Present year ratio 11x/6x.

Five years hence ratio will 12x/7x.

So,

11x+5 / 6x+5 = 12/7.

So, 77x+35= 72x+50.

5x=25.

X=5.

Even from statements 2 and 3 we can get answer.

Present year ratio 11x/6x.

Five years hence ratio will 12x/7x.

So,

11x+5 / 6x+5 = 12/7.

So, 77x+35= 72x+50.

5x=25.

X=5.

Even from statements 2 and 3 we can get answer.

(1)

Simna said:
4 years ago

How can Statement 2 & Statement 3 help solve the problem. His age = 2*Sons is a must statement. Therefore how can this statement be true "Any two of the three".

(2)

Praveen said:
7 years ago

@Latha Bv.

By Statement I :

Let x be Arun's present age, s be son's present age

x-5 = 2(s-5),

x-5 = 2s-10,

x = 2s-5.

By Statement III :

x+5/ s+5 = 12/7

Substituting eqn of x from Statement I.

2s-5+5/s+5 = 12/7

2s/ s+5 = 12/7

7(2s) = 12(s+5)

14s - 12s = 60

2s = 60

s = 30(Son's Present Age).

Now, substitute the value of s in the eqn of x (Statement I).

x = 2s-5

= 2(30)-5

= 60-5

x = 55(Arun's Present Age).

Thus Arun's Present Age can be found from Statement I and III too.

Thus Option D(Any two of three) is correct.

By Statement I :

Let x be Arun's present age, s be son's present age

x-5 = 2(s-5),

x-5 = 2s-10,

x = 2s-5.

By Statement III :

x+5/ s+5 = 12/7

Substituting eqn of x from Statement I.

2s-5+5/s+5 = 12/7

2s/ s+5 = 12/7

7(2s) = 12(s+5)

14s - 12s = 60

2s = 60

s = 30(Son's Present Age).

Now, substitute the value of s in the eqn of x (Statement I).

x = 2s-5

= 2(30)-5

= 60-5

x = 55(Arun's Present Age).

Thus Arun's Present Age can be found from Statement I and III too.

Thus Option D(Any two of three) is correct.

(3)

Latha BV said:
8 years ago

The present age of Arun = 11x.

The present age of Arun's son = 6x.

I) 5 years ago Arun's age was double of his son's age that means (11x - 5) = 2 (6x - 5).

11x - 5 = 12x - 10.

12x - 10 - 11x + 5 = 0.

x = 5.

2) Statement 2 is already used in statement 1 to get the value of x.

3) Five years hence the respective ratio of Arun's age and his son's age will become 12 : 7 that means.

11x + 5/6x + 5 = 12/7.

7 (11x + 5) = 12 (6x + 5).

77x + 35 = 72x + 60.

x = 5.

Arun's present age = 11x.

= 11 * 5.

= 55.

So from the statement 1 and 2, we get the value of x is 5.

And from the statement 2 and 3 we get the value of x is also 5.

At last, we get the present age of Arun is 55, and here the most used statement was 2 hence we use only 1 and 2 are else 2 and 3 but not by 1 and 3, therefore, the answer should be E but not D.

The present age of Arun's son = 6x.

I) 5 years ago Arun's age was double of his son's age that means (11x - 5) = 2 (6x - 5).

11x - 5 = 12x - 10.

12x - 10 - 11x + 5 = 0.

x = 5.

2) Statement 2 is already used in statement 1 to get the value of x.

3) Five years hence the respective ratio of Arun's age and his son's age will become 12 : 7 that means.

11x + 5/6x + 5 = 12/7.

7 (11x + 5) = 12 (6x + 5).

77x + 35 = 72x + 60.

x = 5.

Arun's present age = 11x.

= 11 * 5.

= 55.

So from the statement 1 and 2, we get the value of x is 5.

And from the statement 2 and 3 we get the value of x is also 5.

At last, we get the present age of Arun is 55, and here the most used statement was 2 hence we use only 1 and 2 are else 2 and 3 but not by 1 and 3, therefore, the answer should be E but not D.

(1)

Asiri said:
8 years ago

Answer should be E.

You can get an answer by joining 1, 2 & 2, 3 but not by 1, 3. Therefore D (Any two of the three) is wrong.

You can get an answer by joining 1, 2 & 2, 3 but not by 1, 3. Therefore D (Any two of the three) is wrong.

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