Problems on Ages Questions

• Ages — present age from ratio and difference: Present ages of Kunal and Ganesh are in the ratio 3:5. Four years later Kunal will be 12 years younger than Ganesh. Find Kunal’s present age.
• Trains — clearing time when two trains approach each other: Two trains 512 m and 528 m long run towards each other at 84 km/h and 60 km/h. From the moment they meet, in how many seconds will they clear each other completely?
• Averages with family ages: The average of father and mother is 35 years (sum = 70). The average of father, mother, and their only son is 27 years (sum = 81). Find the son’s present age.
• Class average with subgroup averages: Average age of 9 students and their teacher (10 persons) is 16 years. The first four students average 19 years; the last five average 10 years. Find the teacher’s present age.
• Ages — two-person sum with a future ratio: Varun and Kapil together are 42 years old. After 5 years, their age ratio will be 15:11 (Varun:Kapil). Find Kapil’s present age.
• Ages — scaling and future ratio (Anil and Purvi): At present Anil is 1.5 times Purvi’s age. Eight years hence, the ratio Anil:Purvi will be 25:18. Find Purvi’s present age.
• Ages — two-person average with known difference: The average of the present ages of Sachin and Saurabh is 36 years (sum 72). If Sachin is 8 years older than Saurabh, find Saurabh’s present age.
• Ages — three people with ratios to each other and total sum: Raman’s present age is three times his daughter’s and equal to nine-thirteenths of his mother’s. The sum of their present ages is 125 years. Find the difference between the mother’s and daughter’s present ages.
• Ages — present and future ratios (Maya and Chhaya): Now, Maya:Chhaya = 6:5. Fifteen years from now the ratio becomes 9:8. Find Maya’s present age.
• Ages — connecting three people across two relations: Manoj:Wasim = 3:11 now. Wasim is 12 years younger than Rehana, and Rehana will be 85 after 7 years. Find the present age of Manoj’s father who is 25 years older than Manoj.
• Family average back in time: A family of five has present average 24 years (total 120). The youngest is 8 now. What was the family’s average age at the time of the youngest’s birth?
• Ages — two time-shifted ratios (solve for Shyam): Four years ago Shyam was 3/4 of Ram. Four years hence Shyam will be 5/6 of Ram. Find Shyam’s present age.
• Ages — present ratio then future double condition: At present Palash is three times Arnav. After 7 years Palash will be twice Arnav. After another 14 years from that point, what multiple of Arnav’s age will Palash’s age be?
• Ages — average and ratio combined (man and son): The average of a man and his son is 27 years (sum 54). Their present age ratio is 8:1. What will be the son’s age after 6 years?
• Family ages and birth-time ages: Ravi’s brother is 3 years older than Ravi. His father was 28 when his sister was born; his mother was 26 when Ravi was born. If the sister was 4 years old when the brother was born, find the father’s and mother’s ages respectively when the brother was born.
• The present ages of Mohan and Sohan are in the ratio 3 : 4. Four years ago, their ages were in the ratio 5 : 7. Find the present ages of Mohan and Sohan (in years).
• Ages (ratio changes in 3 years): The ratio of ages of A and B is 3 : 11. After 3 years the ratio becomes 1 : 3. Find the present ages of A and B.
• Ages (past–future relation): In 10 years A will be twice as old as B was 10 years ago. A is now 9 years older than B. Find B's present age.
• Ages (marriage reference and fractional multiple): Radha married 6 years ago. Today her age is 1.25 times her age at marriage. Her son's age is one-tenth of her present age. Find the son's age.
• Ages (two time-slices with ratios): Two years ago, Ram : Mohan = 3 : 2. At present, Ram : Mohan = 7 : 5. Find their present ages.