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

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.

Surbhi said: (Jan 17, 2011) | |

What's the meaning of five years hence? |

Anshu said: (Jun 10, 2011) | |

Please tell meaning of five year hence. |

Mahendra said: (Jul 1, 2011) | |

What is this question I didn't get the question itself, so kindly explain me please. |

Hema said: (Jul 12, 2011) | |

Please explain briefly. |

Poornima said: (Aug 8, 2011) | |

Can someone explain this? |

Harsha said: (Aug 10, 2011) | |

5 years hence means- after 5 years. |

Garv said: (Sep 25, 2011) | |

Answer can be non of these Five year ago son's age-x arun's age-2x present age (x+5)11=(2x+5)6 x=25 then present 30 after 5 year son age 35 arun 60 Condition satisfied. |

Siddu said: (Jan 3, 2012) | |

Present : 11x, 6x 5 years ago 11(x-5), 6(x-5)= 11(x-5)= 2(6(x-5)) 11x-55= 2(6x-30) x=5 |

Akash said: (Feb 18, 2012) | |

How statement 3 is true? I can't get solution for 3rd statement. |

Aiswarya said: (Jul 19, 2013) | |

Easy way to catch up this problem: Present age be x. Ratio given 11:6 so present age ratio is 11x:6x. Given that 5 years ago so we 11(x-5) = 6(x-5). Aruns age is twice of his sons age :11(x-5) = 2(6(x-5)). Hence x = 5. |

Amal said: (Sep 5, 2014) | |

All the statements are true. But there is a logic. What dose "only "means? I think the answer is "E". |

Datta said: (Mar 5, 2015) | |

11:6, so 11x:6x. 5 years ago 11(x-5) = 6(x-5). 11(x-5) = 2(6(x-5)). Hence x = 5. |

Gopi Krishna Arava said: (Mar 27, 2015) | |

X value is ok. But how can it satisfied both I and II rule? |

Kuzne4Ik said: (Jul 20, 2015) | |

1. x = 11/6*y. 11/6*y = 12/7*y+5. y = 42(son). x = 77(father). 2. x = 2*y-5. x = 11/6*y. 2*y-5=11/6*y. y = 30 (son). x = 55(father). 3. x = 2*y-5. x = 12/7*y+5. 2*y-5 = 12/7*y+5. y = 35(son). x = 65(father). Because of different results, only 2 from 3 can be satisfied. |

Raghavendra said: (Sep 10, 2015) | |

There are two unknowns and requires no more than 2 equations to determine all unknowns! No need to calculate anything! |

Nish said: (Sep 10, 2015) | |

Condition 1 and 2, 1 and 3 are enough. But 2 and 3 are note sufficient. Hence answer cannot be any two of above. |

Chetan said: (Oct 16, 2015) | |

For son's present age = 30 and father's present age = 55 all the conditions satisfy. |

Chetan said: (Oct 18, 2015) | |

For son's present age = 30 and father's present age = 55 all the conditions satisfy. |

Asiri said: (Feb 4, 2016) | |

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. |

Latha Bv said: (Sep 9, 2016) | |

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. |

Praveen said: (Apr 13, 2017) | |

@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. |

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