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
- 1.7 years ago, Nisha’s mother was three times as old as Nisha. The mother is 22 years old now. How old is Nisha now?
- 2.In 24 years, Karan will be three times as old as Karan was 4 years ago. How old is Karan now?
- 3.Ananya is 5 years older than Arjun. In 5 years, the sum of their ages will be 51. How old is Arjun now?
- 4.Dev is 10 years older than Karan. In 10 years, the sum of their ages will be 58. How old is Karan now?
- 5.2 years ago, Pooja’s mother was four times as old as Pooja. The mother is 22 years old now. How old is Pooja now?
- 6.Pooja’s father is five times as old as Pooja. The sum of their ages is 48 years. How old is Pooja?
- 7.Ananya’s father is three times as old as Ananya. The sum of their ages is 36 years. How old is the father?
- 8.Kabir’s father is twice as old as Kabir. The sum of their ages is 24 years. How old is the father?
- 9.Arjun is 3 years older than Saanvi. In 2 years, the sum of their ages will be 47. How old is Saanvi now?
- 10.Aditya is 8 years older than Arjun. In 8 years, the sum of their ages will be 84. How old is Arjun now?
- 11.6 years ago, Manav’s mother was twice as old as Manav. The mother is 24 years old now. How old is Manav now?
- 12.Isha is 10 years older than Nisha. In 7 years, the sum of their ages will be 72. How old is Nisha now?
- 13.Meera is 3 years older than Farhan. In 8 years, the sum of their ages will be 57. How old is Farhan now?
- 14.Zoya’s father is four times as old as Zoya. The sum of their ages is 55 years. How old is Zoya?
- 15.Kavya is 5 years older than Ishaan. In 5 years, the sum of their ages will be 61. How old is Ishaan now?
- 16.Saanvi’s father is twice as old as Saanvi. The sum of their ages is 27 years. How old is Saanvi?
- 17.Tara’s father is five times as old as Tara. The sum of their ages is 60 years. How old is Tara?
- 18.Rohan is 4 years older than Aditya. In 8 years, the sum of their ages will be 32. How old is Aditya now?
- 19.3 years ago, Kabir’s mother was four times as old as Kabir. The mother is 47 years old now. How old is Kabir now?
- 20.Vivaan is 10 years older than Aarav. In 10 years, the sum of their ages will be 44. How old is Aarav now?
- 21.Rahul is 2 years older than Ananya. In 4 years, the sum of their ages will be 52. How old is Ananya now?
- 22.In 22 years, Karan will be twice as old as Karan was 3 years ago. How old is Karan now?
- 23.Farhan’s father is five times as old as Farhan. The sum of their ages is 78 years. How old is the father?
- 24.In 23 years, Ananya will be twice as old as Ananya was 3 years ago. How old is Ananya now?
- 25.6 years ago, Ananya’s mother was twice as old as Ananya. The mother is 12 years old now. How old is Ananya now?
- 26.In 21 years, Kavya will be twice as old as Kavya was 4 years ago. How old is Kavya now?
- 27.In 18 years, Priya will be twice as old as Priya was 5 years ago. How old is Priya now?
- 28.In 14 years, Rahul will be three times as old as Rahul was 6 years ago. How old is Rahul now?
- 29.Kavya is 2 years older than Rahul. In 5 years, the sum of their ages will be 68. How old is Rahul now?
- 30.Meera is 6 years older than Tara. In 4 years, the sum of their ages will be 30. How old is Tara now?
- 31.Tara’s father is three times as old as Tara. The sum of their ages is 24 years. How old is the father?
- 32.In 24 years, Kabir will be three times as old as Kabir was 6 years ago. How old is Kabir now?
- 33.Nisha is 8 years older than Vivaan. In 4 years, the sum of their ages will be 56. How old is Vivaan now?
- 34.Karan’s father is three times as old as Karan. The sum of their ages is 32 years. How old is Karan?
- 35.8 years ago, Rohan’s mother was four times as old as Rohan. The mother is 28 years old now. How old is Rohan now?
- 36.Tara’s father is twice as old as Tara. The sum of their ages is 42 years. How old is the father?
- 37.Kabir’s father is twice as old as Kabir. The sum of their ages is 30 years. How old is the father?
- 38.In 5 years, Diya will be twice as old as Diya was 6 years ago. How old is Diya now?
- 39.8 years ago, Kabir’s mother was three times as old as Kabir. The mother is 44 years old now. How old is Kabir now?
- 40.In 6 years, Dev will be twice as old as Dev was 5 years ago. How old is Dev now?
Answer key
- 12
- 18
- 18
- 14
- 7
- 8
- 27
- 16
- 20
- 30
- 15
- 24
- 19
- 11
- 23
- 9
- 10
- 6
- 14
- 7
- 21
- 28
- 65
- 29
- 9
- 29
- 28
- 16
- 28
- 8
- 18
- 21
- 20
- 8
- 13
- 28
- 20
- 17
- 20
- 16
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