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.Farhan’s father is five times as old as Farhan. The sum of their ages is 84 years. How old is Farhan?
- 2.In 21 years, Saanvi will be twice as old as Saanvi was 3 years ago. How old is Saanvi now?
- 3.3 years ago, Karan’s mother was three times as old as Karan. The mother is 12 years old now. How old is Karan now?
- 4.10 years ago, Zoya’s mother was four times as old as Zoya. The mother is 42 years old now. How old is Zoya now?
- 5.Sneha’s father is twice as old as Sneha. The sum of their ages is 39 years. How old is the father?
- 6.In 7 years, Dev will be twice as old as Dev was 5 years ago. How old is Dev now?
- 7.Ishaan’s father is twice as old as Ishaan. The sum of their ages is 45 years. How old is the father?
- 8.5 years ago, Aditya’s mother was three times as old as Aditya. The mother is 38 years old now. How old is Aditya now?
- 9.In 26 years, Diya will be twice as old as Diya was 4 years ago. How old is Diya now?
- 10.In 4 years, Ananya will be twice as old as Ananya was 5 years ago. How old is Ananya now?
- 11.Kavya is 7 years older than Arjun. In 8 years, the sum of their ages will be 47. How old is Arjun now?
- 12.Rohan’s father is four times as old as Rohan. The sum of their ages is 70 years. How old is the father?
- 13.Ananya is 5 years older than Saanvi. In 7 years, the sum of their ages will be 69. How old is Saanvi now?
- 14.In 18 years, Farhan will be twice as old as Farhan was 3 years ago. How old is Farhan now?
- 15.In 16 years, Nisha will be twice as old as Nisha was 4 years ago. How old is Nisha now?
- 16.Pooja’s father is twice as old as Pooja. The sum of their ages is 33 years. How old is the father?
- 17.Arjun’s father is twice as old as Arjun. The sum of their ages is 27 years. How old is the father?
- 18.In 19 years, Meera will be twice as old as Meera was 2 years ago. How old is Meera now?
- 19.Isha is 3 years older than Aditya. In 5 years, the sum of their ages will be 35. How old is Aditya now?
- 20.9 years ago, Meera’s mother was three times as old as Meera. The mother is 33 years old now. How old is Meera now?
- 21.Ishaan’s father is three times as old as Ishaan. The sum of their ages is 36 years. How old is Ishaan?
- 22.4 years ago, Tara’s mother was three times as old as Tara. The mother is 31 years old now. How old is Tara now?
- 23.Tara is 3 years older than Meera. In 2 years, the sum of their ages will be 29. How old is Meera now?
- 24.Diya is 9 years older than Pooja. In 3 years, the sum of their ages will be 61. How old is Pooja now?
- 25.Rahul is 7 years older than Farhan. In 7 years, the sum of their ages will be 33. How old is Farhan now?
- 26.In 14 years, Arjun will be three times as old as Arjun was 6 years ago. How old is Arjun now?
- 27.Tara’s father is three times as old as Tara. The sum of their ages is 28 years. How old is Tara?
- 28.Dev is 6 years older than Rahul. In 8 years, the sum of their ages will be 60. How old is Rahul now?
- 29.Tara’s father is three times as old as Tara. The sum of their ages is 40 years. How old is the father?
- 30.In 4 years, Tara will be twice as old as Tara was 6 years ago. How old is Tara now?
- 31.5 years ago, Diya’s mother was three times as old as Diya. The mother is 20 years old now. How old is Diya now?
- 32.7 years ago, Rahul’s mother was three times as old as Rahul. The mother is 31 years old now. How old is Rahul now?
- 33.Nisha is 6 years older than Sneha. In 7 years, the sum of their ages will be 74. How old is Sneha now?
- 34.6 years ago, Saanvi’s mother was three times as old as Saanvi. The mother is 24 years old now. How old is Saanvi now?
- 35.In 6 years, Diya will be twice as old as Diya was 3 years ago. How old is Diya now?
- 36.Isha’s father is three times as old as Isha. The sum of their ages is 28 years. How old is Isha?
- 37.Aditya’s father is three times as old as Aditya. The sum of their ages is 20 years. How old is the father?
- 38.Tara’s father is twice as old as Tara. The sum of their ages is 21 years. How old is the father?
- 39.Nisha’s father is three times as old as Nisha. The sum of their ages is 40 years. How old is the father?
- 40.Diya is 5 years older than Dev. In 5 years, the sum of their ages will be 49. How old is Dev now?
Answer key
- 14
- 27
- 6
- 18
- 26
- 17
- 30
- 16
- 34
- 14
- 12
- 56
- 25
- 24
- 24
- 22
- 18
- 23
- 11
- 17
- 9
- 13
- 11
- 23
- 6
- 16
- 7
- 19
- 30
- 16
- 10
- 15
- 27
- 12
- 12
- 7
- 15
- 14
- 30
- 17
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