# Aptitude - Problems on Ages

- Problems on Ages - Formulas
- Problems on Ages - General Questions
- Problems on Ages - Data Sufficiency 1
- Problems on Ages - Data Sufficiency 2
- Problems on Ages - Data Sufficiency 3

*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.

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. |

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).

What is Ravi's present age? | |

I. | The present age of Ravi is half of that of his father. |

II. | After 5 years, the ratio of Ravi's age to that of his father's age will be 6 : 11. |

III. | Ravi is 5 years younger than his brother. |

I. Let Ravi's present age be *x* years. Then, his father's present age = 2*x* years.

II. After 5 years, | Ravi's age | = | 6 |

Father's age | 11 |

III. Ravi is younger than his brother.

From I and II, we get | x + 5 |
= | 6 | . This gives x, the answer. |

2x + 5 |
11 |

Thus, I and II together give the answer. Clearly, III is redundant.

Correct answer is (A).

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. |

I. Let the present ages of Tanya and Rahul be 3*x* years and 4*x* 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 = 3*x* can be found. Thus, I and II give the answer.

From I and III, we get 4*x* = 3*x* + 5. This gives *x*.

Tanya's age = 3*x* 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).