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.Vivaan’s father is five times as old as Vivaan. The sum of their ages is 42 years. How old is Vivaan?
- 2.6 years ago, Karan’s mother was three times as old as Karan. The mother is 30 years old now. How old is Karan now?
- 3.Saanvi is 4 years older than Kavya. In 10 years, the sum of their ages will be 78. How old is Kavya now?
- 4.10 years ago, Aditya’s mother was twice as old as Aditya. The mother is 34 years old now. How old is Aditya now?
- 5.Ishaan’s father is twice as old as Ishaan. The sum of their ages is 18 years. How old is Ishaan?
- 6.Manav’s father is three times as old as Manav. The sum of their ages is 60 years. How old is the father?
- 7.Ishaan’s father is twice as old as Ishaan. The sum of their ages is 18 years. How old is the father?
- 8.6 years ago, Aarav’s mother was twice as old as Aarav. The mother is 24 years old now. How old is Aarav now?
- 9.2 years ago, Kabir’s mother was twice as old as Kabir. The mother is 16 years old now. How old is Kabir now?
- 10.4 years ago, Isha’s mother was three times as old as Isha. The mother is 31 years old now. How old is Isha now?
- 11.Manav is 4 years older than Tara. In 4 years, the sum of their ages will be 64. How old is Tara now?
- 12.Arjun’s father is three times as old as Arjun. The sum of their ages is 20 years. How old is the father?
- 13.In 20 years, Vivaan will be twice as old as Vivaan was 4 years ago. How old is Vivaan now?
- 14.Tara is 6 years older than Priya. In 2 years, the sum of their ages will be 48. How old is Priya now?
- 15.Diya is 7 years older than Priya. In 7 years, the sum of their ages will be 61. How old is Priya now?
- 16.Rahul is 6 years older than Rohan. In 8 years, the sum of their ages will be 74. How old is Rohan now?
- 17.In 8 years, Vivaan will be three times as old as Vivaan was 6 years ago. How old is Vivaan now?
- 18.Rahul is 3 years older than Aditya. In 10 years, the sum of their ages will be 67. How old is Aditya now?
- 19.In 25 years, Diya will be twice as old as Diya was 2 years ago. How old is Diya now?
- 20.Meera is 7 years older than Rahul. In 8 years, the sum of their ages will be 49. How old is Rahul now?
- 21.Diya’s father is four times as old as Diya. The sum of their ages is 25 years. How old is the father?
- 22.In 19 years, Kabir will be twice as old as Kabir was 2 years ago. How old is Kabir now?
- 23.Dev is 2 years older than Aarav. In 4 years, the sum of their ages will be 26. How old is Aarav now?
- 24.Ananya is 8 years older than Meera. In 4 years, the sum of their ages will be 54. How old is Meera now?
- 25.Priya’s father is four times as old as Priya. The sum of their ages is 40 years. How old is Priya?
- 26.Zoya is 6 years older than Kabir. In 10 years, the sum of their ages will be 38. How old is Kabir now?
- 27.Zoya’s father is five times as old as Zoya. The sum of their ages is 54 years. How old is Zoya?
- 28.Sneha is 9 years older than Kavya. In 3 years, the sum of their ages will be 73. How old is Kavya now?
- 29.In 27 years, Priya will be three times as old as Priya was 5 years ago. How old is Priya now?
- 30.3 years ago, Kabir’s mother was twice as old as Kabir. The mother is 13 years old now. How old is Kabir now?
- 31.Aditya is 3 years older than Isha. In 2 years, the sum of their ages will be 21. How old is Isha now?
- 32.Vivaan’s father is three times as old as Vivaan. The sum of their ages is 40 years. How old is Vivaan?
- 33.In 22 years, Rohan will be three times as old as Rohan was 2 years ago. How old is Rohan now?
- 34.Vivaan is 5 years older than Sneha. In 6 years, the sum of their ages will be 33. How old is Sneha now?
- 35.In 16 years, Ishaan will be twice as old as Ishaan was 2 years ago. How old is Ishaan now?
- 36.In 3 years, Sneha will be twice as old as Sneha was 5 years ago. How old is Sneha now?
- 37.Aditya’s father is three times as old as Aditya. The sum of their ages is 40 years. How old is Aditya?
- 38.Priya is 9 years older than Rahul. In 4 years, the sum of their ages will be 61. How old is Rahul now?
- 39.10 years ago, Vivaan’s mother was four times as old as Vivaan. The mother is 30 years old now. How old is Vivaan now?
- 40.8 years ago, Nisha’s mother was twice as old as Nisha. The mother is 14 years old now. How old is Nisha now?
Answer key
- 7
- 14
- 27
- 22
- 6
- 45
- 12
- 15
- 9
- 13
- 26
- 15
- 28
- 19
- 20
- 26
- 13
- 22
- 29
- 13
- 20
- 23
- 8
- 19
- 8
- 6
- 9
- 29
- 21
- 8
- 7
- 10
- 14
- 8
- 20
- 13
- 10
- 22
- 15
- 11
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