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’s father is five times as old as Ananya. The sum of their ages is 30 years. How old is the father?
- 2.Karan’s father is three times as old as Karan. The sum of their ages is 20 years. How old is Karan?
- 3.Karan’s father is four times as old as Karan. The sum of their ages is 25 years. How old is the father?
- 4.Sneha’s father is three times as old as Sneha. The sum of their ages is 32 years. How old is Sneha?
- 5.Aditya’s father is five times as old as Aditya. The sum of their ages is 42 years. How old is Aditya?
- 6.Tara’s father is three times as old as Tara. The sum of their ages is 40 years. How old is the father?
- 7.10 years ago, Pooja’s mother was twice as old as Pooja. The mother is 32 years old now. How old is Pooja now?
- 8.In 9 years, Kavya will be three times as old as Kavya was 3 years ago. How old is Kavya now?
- 9.10 years ago, Manav’s mother was four times as old as Manav. The mother is 38 years old now. How old is Manav now?
- 10.In 14 years, Tara will be twice as old as Tara was 2 years ago. How old is Tara now?
- 11.In 2 years, Manav will be three times as old as Manav was 6 years ago. How old is Manav now?
- 12.Nisha is 6 years older than Saanvi. In 3 years, the sum of their ages will be 68. How old is Saanvi now?
- 13.In 13 years, Karan will be twice as old as Karan was 3 years ago. How old is Karan now?
- 14.4 years ago, Priya’s mother was four times as old as Priya. The mother is 24 years old now. How old is Priya now?
- 15.In 19 years, Diya will be twice as old as Diya was 4 years ago. How old is Diya now?
- 16.In 30 years, Farhan will be three times as old as Farhan was 4 years ago. How old is Farhan now?
- 17.Ishaan is 3 years older than Rahul. In 8 years, the sum of their ages will be 47. How old is Rahul now?
- 18.Karan is 7 years older than Pooja. In 2 years, the sum of their ages will be 63. How old is Pooja now?
- 19.Nisha is 7 years older than Sneha. In 6 years, the sum of their ages will be 39. How old is Sneha now?
- 20.Vivaan is 2 years older than Nisha. In 6 years, the sum of their ages will be 34. How old is Nisha now?
- 21.Rahul is 8 years older than Aditya. In 9 years, the sum of their ages will be 64. How old is Aditya now?
- 22.8 years ago, Meera’s mother was four times as old as Meera. The mother is 28 years old now. How old is Meera now?
- 23.Zoya is 10 years older than Aditya. In 2 years, the sum of their ages will be 40. How old is Aditya now?
- 24.Diya is 9 years older than Aarav. In 3 years, the sum of their ages will be 75. How old is Aarav now?
- 25.3 years ago, Aarav’s mother was twice as old as Aarav. The mother is 19 years old now. How old is Aarav now?
- 26.Kavya’s father is five times as old as Kavya. The sum of their ages is 66 years. How old is Kavya?
- 27.Aditya is 5 years older than Sneha. In 8 years, the sum of their ages will be 59. How old is Sneha now?
- 28.Kabir is 2 years older than Ishaan. In 7 years, the sum of their ages will be 42. How old is Ishaan now?
- 29.Isha is 3 years older than Pooja. In 2 years, the sum of their ages will be 31. How old is Pooja now?
- 30.Zoya’s father is twice as old as Zoya. The sum of their ages is 21 years. How old is Zoya?
- 31.Ananya is 5 years older than Manav. In 5 years, the sum of their ages will be 45. How old is Manav now?
- 32.Kabir’s father is three times as old as Kabir. The sum of their ages is 20 years. How old is Kabir?
- 33.Vivaan is 2 years older than Zoya. In 3 years, the sum of their ages will be 20. How old is Zoya now?
- 34.In 8 years, Farhan will be twice as old as Farhan was 6 years ago. How old is Farhan now?
- 35.Manav’s father is twice as old as Manav. The sum of their ages is 39 years. How old is Manav?
- 36.Pooja’s father is four times as old as Pooja. The sum of their ages is 30 years. How old is the father?
- 37.Rahul’s father is five times as old as Rahul. The sum of their ages is 60 years. How old is the father?
- 38.Saanvi’s father is three times as old as Saanvi. The sum of their ages is 28 years. How old is the father?
- 39.Pooja is 10 years older than Saanvi. In 2 years, the sum of their ages will be 40. How old is Saanvi now?
- 40.9 years ago, Ishaan’s mother was twice as old as Ishaan. The mother is 27 years old now. How old is Ishaan now?
Answer key
- 25
- 5
- 20
- 8
- 7
- 30
- 21
- 9
- 17
- 18
- 10
- 28
- 19
- 9
- 27
- 21
- 14
- 26
- 10
- 10
- 19
- 13
- 13
- 30
- 11
- 11
- 19
- 13
- 12
- 7
- 15
- 5
- 6
- 20
- 13
- 24
- 50
- 21
- 13
- 18
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