Problems on Ages Worksheet
The method (Same years for everyone): “k times as old”: the younger is 1 part, the older is k parts. n years ago or later: change every age by n before using the clue. Sum and difference: younger = (sum − difference) ÷ 2. For “in a years … b years ago”, let the age be x and solve.
NameDateTime takenScore ___ / 40
- 1.Ananya is 2 years older than Diya. In 5 years, the sum of their ages will be 72. How old is Diya now?
- 2.Farhan’s father is three times as old as Farhan. The sum of their ages is 32 years. How old is the father?
- 3.6 years ago, Dev’s mother was three times as old as Dev. The mother is 21 years old now. How old is Dev now?
- 4.Rohan’s father is twice as old as Rohan. The sum of their ages is 24 years. How old is the father?
- 5.5 years ago, Ishaan’s mother was three times as old as Ishaan. The mother is 23 years old now. How old is Ishaan now?
- 6.Rohan is 6 years older than Kavya. In 9 years, the sum of their ages will be 52. How old is Kavya now?
- 7.7 years ago, Rahul’s mother was three times as old as Rahul. The mother is 31 years old now. How old is Rahul now?
- 8.Diya is 9 years older than Nisha. In 3 years, the sum of their ages will be 27. How old is Nisha now?
- 9.Diya is 2 years older than Sneha. In 8 years, the sum of their ages will be 54. How old is Sneha now?
- 10.Dev’s father is five times as old as Dev. The sum of their ages is 72 years. How old is Dev?
- 11.In 27 years, Aarav will be three times as old as Aarav was 3 years ago. How old is Aarav now?
- 12.10 years ago, Pooja’s mother was twice as old as Pooja. The mother is 28 years old now. How old is Pooja now?
- 13.In 15 years, Aarav will be twice as old as Aarav was 3 years ago. How old is Aarav now?
- 14.Vivaan is 8 years older than Manav. In 5 years, the sum of their ages will be 46. How old is Manav now?
- 15.In 1 years, Aditya will be twice as old as Aditya was 6 years ago. How old is Aditya now?
- 16.In 18 years, Rahul will be three times as old as Rahul was 4 years ago. How old is Rahul now?
- 17.Rohan’s father is twice as old as Rohan. The sum of their ages is 33 years. How old is Rohan?
- 18.Saanvi’s father is twice as old as Saanvi. The sum of their ages is 21 years. How old is the father?
- 19.Nisha is 4 years older than Priya. In 6 years, the sum of their ages will be 46. How old is Priya now?
- 20.7 years ago, Farhan’s mother was three times as old as Farhan. The mother is 40 years old now. How old is Farhan now?
- 21.In 5 years, Diya will be twice as old as Diya was 2 years ago. How old is Diya now?
- 22.Manav is 8 years older than Farhan. In 3 years, the sum of their ages will be 34. How old is Farhan now?
- 23.In 14 years, Aarav will be twice as old as Aarav was 2 years ago. How old is Aarav now?
- 24.Meera’s father is three times as old as Meera. The sum of their ages is 36 years. How old is Meera?
- 25.Ishaan is 8 years older than Karan. In 3 years, the sum of their ages will be 64. How old is Karan now?
- 26.3 years ago, Aditya’s mother was four times as old as Aditya. The mother is 19 years old now. How old is Aditya now?
- 27.Zoya’s father is four times as old as Zoya. The sum of their ages is 35 years. How old is the father?
- 28.Dev is 2 years older than Vivaan. In 3 years, the sum of their ages will be 64. How old is Vivaan now?
- 29.Manav’s father is four times as old as Manav. The sum of their ages is 25 years. How old is Manav?
- 30.Diya’s father is five times as old as Diya. The sum of their ages is 42 years. How old is Diya?
- 31.5 years ago, Aditya’s mother was three times as old as Aditya. The mother is 26 years old now. How old is Aditya now?
- 32.In 15 years, Diya will be twice as old as Diya was 2 years ago. How old is Diya now?
- 33.Rohan is 4 years older than Saanvi. In 3 years, the sum of their ages will be 62. How old is Saanvi now?
- 34.Pooja is 2 years older than Aditya. In 10 years, the sum of their ages will be 74. How old is Aditya now?
- 35.In 20 years, Ananya will be twice as old as Ananya was 3 years ago. How old is Ananya now?
- 36.3 years ago, Rohan’s mother was three times as old as Rohan. The mother is 33 years old now. How old is Rohan now?
- 37.In 8 years, Rohan will be twice as old as Rohan was 6 years ago. How old is Rohan now?
- 38.In 10 years, Ishaan will be twice as old as Ishaan was 6 years ago. How old is Ishaan now?
- 39.Dev is 10 years older than Saanvi. In 9 years, the sum of their ages will be 56. How old is Saanvi now?
- 40.Arjun’s father is three times as old as Arjun. The sum of their ages is 48 years. How old is the father?
Answer key
- 30
- 24
- 11
- 16
- 11
- 14
- 15
- 6
- 18
- 12
- 18
- 19
- 21
- 14
- 13
- 15
- 11
- 14
- 15
- 18
- 9
- 10
- 18
- 9
- 25
- 7
- 28
- 28
- 5
- 7
- 12
- 19
- 26
- 26
- 26
- 13
- 20
- 22
- 14
- 36
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