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.Tara is 6 years older than Aditya. In 4 years, the sum of their ages will be 60. How old is Aditya now?
- 2.In 17 years, Arjun will be three times as old as Arjun was 3 years ago. How old is Arjun now?
- 3.8 years ago, Pooja’s mother was three times as old as Pooja. The mother is 23 years old now. How old is Pooja now?
- 4.Kabir is 3 years older than Ananya. In 6 years, the sum of their ages will be 45. How old is Ananya now?
- 5.2 years ago, Sneha’s mother was twice as old as Sneha. The mother is 26 years old now. How old is Sneha now?
- 6.In 29 years, Meera will be twice as old as Meera was 3 years ago. How old is Meera now?
- 7.In 27 years, Arjun will be twice as old as Arjun was 4 years ago. How old is Arjun now?
- 8.In 9 years, Saanvi will be twice as old as Saanvi was 2 years ago. How old is Saanvi now?
- 9.8 years ago, Saanvi’s mother was twice as old as Saanvi. The mother is 24 years old now. How old is Saanvi now?
- 10.Ananya is 7 years older than Aditya. In 4 years, the sum of their ages will be 31. How old is Aditya now?
- 11.Pooja’s father is four times as old as Pooja. The sum of their ages is 75 years. How old is Pooja?
- 12.Pooja’s father is four times as old as Pooja. The sum of their ages is 60 years. How old is Pooja?
- 13.Meera is 7 years older than Arjun. In 5 years, the sum of their ages will be 57. How old is Arjun now?
- 14.Rahul’s father is four times as old as Rahul. The sum of their ages is 40 years. How old is the father?
- 15.In 21 years, Kabir will be twice as old as Kabir was 2 years ago. How old is Kabir now?
- 16.Ananya’s father is twice as old as Ananya. The sum of their ages is 36 years. How old is the father?
- 17.Aarav’s father is twice as old as Aarav. The sum of their ages is 33 years. How old is Aarav?
- 18.Karan’s father is twice as old as Karan. The sum of their ages is 42 years. How old is Karan?
- 19.Aarav’s father is three times as old as Aarav. The sum of their ages is 40 years. How old is Aarav?
- 20.Diya’s father is five times as old as Diya. The sum of their ages is 48 years. How old is Diya?
- 21.Sneha’s father is five times as old as Sneha. The sum of their ages is 78 years. How old is Sneha?
- 22.Manav is 2 years older than Meera. In 9 years, the sum of their ages will be 78. How old is Meera now?
- 23.Vivaan is 8 years older than Ishaan. In 6 years, the sum of their ages will be 36. How old is Ishaan now?
- 24.Nisha is 8 years older than Kavya. In 8 years, the sum of their ages will be 52. How old is Kavya now?
- 25.Aditya’s father is three times as old as Aditya. The sum of their ages is 40 years. How old is the father?
- 26.Ananya’s father is four times as old as Ananya. The sum of their ages is 25 years. How old is the father?
- 27.4 years ago, Tara’s mother was twice as old as Tara. The mother is 22 years old now. How old is Tara now?
- 28.Diya is 7 years older than Isha. In 3 years, the sum of their ages will be 29. How old is Isha now?
- 29.In 28 years, Rahul will be three times as old as Rahul was 2 years ago. How old is Rahul now?
- 30.Ishaan’s father is twice as old as Ishaan. The sum of their ages is 39 years. How old is the father?
- 31.2 years ago, Kabir’s mother was three times as old as Kabir. The mother is 32 years old now. How old is Kabir now?
- 32.In 20 years, Diya will be twice as old as Diya was 5 years ago. How old is Diya now?
- 33.In 6 years, Aarav will be three times as old as Aarav was 4 years ago. How old is Aarav now?
- 34.Nisha is 4 years older than Rohan. In 3 years, the sum of their ages will be 50. How old is Rohan now?
- 35.Manav is 2 years older than Pooja. In 4 years, the sum of their ages will be 62. How old is Pooja now?
- 36.2 years ago, Tara’s mother was twice as old as Tara. The mother is 14 years old now. How old is Tara now?
- 37.Priya is 4 years older than Nisha. In 2 years, the sum of their ages will be 32. How old is Nisha now?
- 38.Ananya’s father is five times as old as Ananya. The sum of their ages is 54 years. How old is the father?
- 39.Diya’s father is five times as old as Diya. The sum of their ages is 36 years. How old is Diya?
- 40.In 14 years, Arjun will be twice as old as Arjun was 3 years ago. How old is Arjun now?
Answer key
- 23
- 13
- 13
- 15
- 14
- 35
- 35
- 13
- 16
- 8
- 15
- 12
- 20
- 32
- 25
- 24
- 11
- 14
- 10
- 8
- 13
- 29
- 8
- 14
- 30
- 20
- 13
- 8
- 17
- 26
- 12
- 30
- 9
- 20
- 26
- 8
- 12
- 45
- 6
- 20
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