Home
Class 14
MATHS
If a son is younger than his father by 2...

If a son is younger than his father by 25 years and the father was 45 years old, 4 years ago. What will be the total age of the father and son after 5 years ?

A

82 years

B

88 years

C

83 years

D

78 years

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem step by step, we will determine the current ages of the father and son, and then calculate their total age after 5 years. ### Step 1: Determine the father's current age From the problem, we know that the father was 45 years old 4 years ago. Therefore, we can calculate his current age as follows: \[ \text{Father's current age} = 45 + 4 = 49 \text{ years} \] ### Step 2: Determine the son's current age The problem states that the son is 25 years younger than his father. Therefore, we can calculate the son's current age as follows: \[ \text{Son's current age} = \text{Father's current age} - 25 = 49 - 25 = 24 \text{ years} \] ### Step 3: Calculate the ages after 5 years Now, we will find out how old both the father and the son will be after 5 years. \[ \text{Father's age after 5 years} = 49 + 5 = 54 \text{ years} \] \[ \text{Son's age after 5 years} = 24 + 5 = 29 \text{ years} \] ### Step 4: Calculate the total age after 5 years Finally, we will calculate the total age of both the father and the son after 5 years. \[ \text{Total age after 5 years} = \text{Father's age after 5 years} + \text{Son's age after 5 years} = 54 + 29 = 83 \text{ years} \] ### Final Answer The total age of the father and son after 5 years will be **83 years**. ---
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    UPKAR PUBLICATION |Exercise QUESTION BANK|110 Videos
  • PROFIT AND LOSS

    UPKAR PUBLICATION |Exercise QUESTION BANK|99 Videos

Similar Questions

Explore conceptually related problems

At present the average of the ages of a father and a son is 25 years. After seven years the son will be 17 years old. What will be the age of the father after 10 years ?

A father is 20 years older than his son. After 5 years the age of the father is twice the age of the son So what will be the present age of father and son respectively?

The sum of the ages of a father and his son is 100 years now. 5 years ago their ages were in the ratio of 2:1. The ratio of the ages of father and son after 10 years will be

Present age of father is 42 years and that of his son is 14 years. Find the ratio of Age of father to the age of son when father was 30 years old.

Present age of father is 42 years and his son is 14 years. Find the ratio of : Age of father to the age of son when father was 30 years old.

Present age of father is 42 years and that of his son is 14 years. Find the ratio of Age of father after 10 years to the age of son after 10 years.

The age of a father is 25 years more than his son's age. The product of their ages is 84 in year. What will be son's age in years, after 10 years ?

Present age of father is 42 years and that of his son is 14 years. Find the ratio of Age of the father to the age of son, when son was 12 years old.

UPKAR PUBLICATION -PROBLEM BASED ON AGES-QUESTION BANK
  1. In 10 years, A will be twice as old as B was 10 years ago. If at prese...

    Text Solution

    |

  2. A was twice as old as B, two years ago. If the difference in their age...

    Text Solution

    |

  3. A is as much younger than B as he is older than C. If the sum of B’s a...

    Text Solution

    |

  4. A say to b, I am twice as old as you when I was as old as you were. Th...

    Text Solution

    |

  5. 15 years hence, A will be twice as old as B but five years ago A was 4...

    Text Solution

    |

  6. 20 years ago my age was 1/3 of what it is now. What is my present age...

    Text Solution

    |

  7. The ratio of the present ages of a son and his father is 1:5 and that ...

    Text Solution

    |

  8. Present age of Vinay is 8 yr less than Anu's present age. If 3 yr ago ...

    Text Solution

    |

  9. The product of the ages of Priya and Aneeta is 240. If twice the age o...

    Text Solution

    |

  10. If the ages of P and R are added to twice the age of Q, the total beco...

    Text Solution

    |

  11. The ratio in the present ages of Ramesh and Jayesh is 3 : 2. Four year...

    Text Solution

    |

  12. The age of Sushil 6 years ago was three times the age of Snehal. 6 yea...

    Text Solution

    |

  13. The age of the father 4 years ago was 5 times the age of his son. If t...

    Text Solution

    |

  14. The ratio in the ages of A and B, 1 year ago was 3 : 4. While it will ...

    Text Solution

    |

  15. After 6 years Pradhan’s age will be 3/7 times the age of his father. 1...

    Text Solution

    |

  16. The sum of the ages of Yogesh, Prakash and Sameer is 93 years. 10 year...

    Text Solution

    |

  17. The total of the present age of P, Q and R together is 88 years. If t...

    Text Solution

    |

  18. A man is five times as old as his son. Four years hence the sum of the...

    Text Solution

    |

  19. If a son is younger than his father by 25 years and the father was 45 ...

    Text Solution

    |

  20. The ratio between present age of Kunal and Ganesh is 3 : 5. If 4 years...

    Text Solution

    |