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.Saanvi’s father is five times as old as Saanvi. The sum of their ages is 90 years. How old is Saanvi?
- 2.8 years ago, Tara’s mother was three times as old as Tara. The mother is 17 years old now. How old is Tara now?
- 3.In 20 years, Karan will be three times as old as Karan was 4 years ago. How old is Karan now?
- 4.Ananya’s father is twice as old as Ananya. The sum of their ages is 42 years. How old is the father?
- 5.In 28 years, Arjun will be twice as old as Arjun was 3 years ago. How old is Arjun now?
- 6.In 29 years, Meera will be twice as old as Meera was 2 years ago. How old is Meera now?
- 7.Aarav is 4 years older than Arjun. In 7 years, the sum of their ages will be 44. How old is Arjun now?
- 8.2 years ago, Dev’s mother was four times as old as Dev. The mother is 22 years old now. How old is Dev now?
- 9.In 24 years, Kabir will be twice as old as Kabir was 4 years ago. How old is Kabir now?
- 10.In 2 years, Tara will be three times as old as Tara was 6 years ago. How old is Tara now?
- 11.4 years ago, Meera’s mother was four times as old as Meera. The mother is 20 years old now. How old is Meera now?
- 12.6 years ago, Kabir’s mother was three times as old as Kabir. The mother is 18 years old now. How old is Kabir now?
- 13.In 28 years, Rahul will be twice as old as Rahul was 6 years ago. How old is Rahul now?
- 14.2 years ago, Aarav’s mother was twice as old as Aarav. The mother is 10 years old now. How old is Aarav now?
- 15.6 years ago, Manav’s mother was three times as old as Manav. The mother is 21 years old now. How old is Manav now?
- 16.3 years ago, Karan’s mother was twice as old as Karan. The mother is 17 years old now. How old is Karan now?
- 17.Dev is 7 years older than Rohan. In 2 years, the sum of their ages will be 21. How old is Rohan now?
- 18.Rohan is 6 years older than Priya. In 3 years, the sum of their ages will be 50. How old is Priya now?
- 19.Kabir is 8 years older than Kavya. In 8 years, the sum of their ages will be 64. How old is Kavya now?
- 20.5 years ago, Saanvi’s mother was four times as old as Saanvi. The mother is 25 years old now. How old is Saanvi now?
- 21.Arjun’s father is four times as old as Arjun. The sum of their ages is 65 years. How old is the father?
- 22.3 years ago, Pooja’s mother was twice as old as Pooja. The mother is 9 years old now. How old is Pooja now?
- 23.In 22 years, Ananya will be three times as old as Ananya was 4 years ago. How old is Ananya now?
- 24.In 25 years, Sneha will be three times as old as Sneha was 3 years ago. How old is Sneha now?
- 25.In 10 years, Arjun will be three times as old as Arjun was 2 years ago. How old is Arjun now?
- 26.In 24 years, Saanvi will be three times as old as Saanvi was 2 years ago. How old is Saanvi now?
- 27.9 years ago, Nisha’s mother was twice as old as Nisha. The mother is 15 years old now. How old is Nisha now?
- 28.In 16 years, Aditya will be twice as old as Aditya was 5 years ago. How old is Aditya now?
- 29.Rohan is 5 years older than Diya. In 7 years, the sum of their ages will be 41. How old is Diya now?
- 30.In 17 years, Priya will be twice as old as Priya was 4 years ago. How old is Priya now?
- 31.Nisha is 5 years older than Meera. In 7 years, the sum of their ages will be 59. How old is Meera now?
- 32.Manav’s father is three times as old as Manav. The sum of their ages is 52 years. How old is Manav?
- 33.8 years ago, Aditya’s mother was three times as old as Aditya. The mother is 17 years old now. How old is Aditya now?
- 34.Diya’s father is twice as old as Diya. The sum of their ages is 39 years. How old is Diya?
- 35.In 6 years, Manav will be twice as old as Manav was 2 years ago. How old is Manav now?
- 36.Karan’s father is four times as old as Karan. The sum of their ages is 35 years. How old is the father?
- 37.Farhan is 8 years older than Dev. In 7 years, the sum of their ages will be 62. How old is Dev now?
- 38.Diya is 7 years older than Manav. In 2 years, the sum of their ages will be 71. How old is Manav now?
- 39.Nisha’s father is twice as old as Nisha. The sum of their ages is 21 years. How old is the father?
- 40.In 27 years, Meera will be twice as old as Meera was 6 years ago. How old is Meera now?
Answer key
- 15
- 11
- 16
- 28
- 34
- 33
- 13
- 7
- 32
- 10
- 8
- 10
- 40
- 6
- 11
- 10
- 5
- 19
- 20
- 10
- 52
- 6
- 17
- 17
- 8
- 15
- 12
- 26
- 11
- 25
- 20
- 13
- 11
- 13
- 10
- 28
- 20
- 30
- 14
- 39
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