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Problems on Ages Questions
Mother–daughter equation system – A mother is five times her daughter’s present age. After 5 years she will be three times her daughter’s age. Find the mother’s current age.
Four children at 4-year intervals – The sum of their present ages is 60. What is the age of the youngest child?
Siblings with fixed gap – Nikhil is 8 years younger than Rohan. How old will Rohan be when he is exactly twice as old as Nikhil?
Sum now and ratio in the past – The sum of the present ages of a father and son is 60. Six years ago the father was five times the son. After 6 years, what will be the son’s age?
Ages ratio now and after a fixed period: Samir and Saurabh are currently in the ratio 8 : 15 (respectively). After 9 years, their ages will be in the ratio 11 : 18. Find the difference between their present ages (in years).
Present-to-future age ratio between a father and daughter: The ratio of the current ages of Suresh and his daughter is 2 : 1. Six years hence, their ages would be in the ratio 23 : 13. Determine Suresh’s present age (in years).
Father–son age relation across time: A father is presently 34 years older than his son. Twelve years ago, the father's age was 18 times the age of his son. What is the son's present age (in years)?
Two-person age ratio with known difference: The ratio of the ages of two persons is 4 : 7. The older person is 30 years more than the younger. What is the sum of their present ages (in years)?
Family ages with fixed differences: A father is 30 years older than his first son, and the first son is 10 years older than the second son. If the sum of their present ages is 95 years, find the father’s current age.
Parent–child ratio now and in the future: Deepak’s present age is three times that of his son. Five years hence, their ages will be in the ratio 34 : 13 (Deepak : Son). Find Deepak’s current age.
Mother–daughter age relation with past multiple: A mother is 25 years older than her daughter. Five years ago, the mother’s age was 6 times the daughter’s age. What is the mother’s current age?
Two persons with a fixed present difference and future ratio: The difference between the present ages of P and Q is 4 years. After 5 years, the ratio P : Q will be 9 : 8. Find the present age of P.
Parent–child present multiple with past multiple: A father’s present age is three times his son’s age. Five years ago, the father’s age was four times the son’s age. What is the son’s current age?
Ages in a given ratio with known total; future ratio requested: Shami, Nammi and Pammi are currently in the age ratio 3 : 4 : 5. Their total age is 48 years. What will be the ratio of their ages 8 years from now?
Average ages across two and three persons with time shift: Five years ago, the average age of Ram and Shyam was 20 years. Now, the average age of Ram, Shyam and Mohan is 30 years. Find Mohan’s age 10 years from now.
Known present difference and past ratio: The difference between the current ages of a boss and his subordinate is 16 years. Four years ago, their ages were in the ratio 11 : 7 (Boss : Subordinate). Find the subordinate’s present age.
Average of a team under replacements: A cricket team’s average age is 27 years. Two players aged 24 and 27 are replaced by new players aged 23 and 28. What is the new average age of the team?
Linked present and future ages with a given fraction: The present age of X is 2/3 of Y's present age. After 6 years, X will be 46 years old. Find Y's current age.
Four friends with overlapping averages and a sum condition: A, B, C, and D are four friends. Average age of A and C is 35 years (so A + C = 70). Average age of B and D is 40 years (so B + D = 80). The average age of B, C and D is 40 years (so B + C + D = 120). Also, A + D = B + C. Find the ages (A, B, C, D) in years.
Mother–daughters age relation via average and difference: The difference between a mother’s age and the sum of her two daughters’ present ages is 6 years. The average age of the two daughters is 22. What is the mother’s present age?
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