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, Diya’s mother was twice as old as Diya. The mother is 15 years old now. How old is Diya now?
- 2.In 30 years, Tara will be twice as old as Tara was 2 years ago. How old is Tara now?
- 3.Saanvi is 7 years older than Priya. In 7 years, the sum of their ages will be 43. How old is Priya now?
- 4.Aditya’s father is twice as old as Aditya. The sum of their ages is 45 years. How old is Aditya?
- 5.5 years ago, Rohan’s mother was twice as old as Rohan. The mother is 21 years old now. How old is Rohan now?
- 6.9 years ago, Arjun’s mother was twice as old as Arjun. The mother is 29 years old now. How old is Arjun now?
- 7.In 13 years, Kavya will be twice as old as Kavya was 6 years ago. How old is Kavya now?
- 8.In 10 years, Vivaan will be twice as old as Vivaan was 3 years ago. How old is Vivaan now?
- 9.Zoya’s father is four times as old as Zoya. The sum of their ages is 45 years. How old is Zoya?
- 10.Sneha is 4 years older than Aarav. In 10 years, the sum of their ages will be 68. How old is Aarav now?
- 11.Pooja is 5 years older than Saanvi. In 2 years, the sum of their ages will be 25. How old is Saanvi now?
- 12.In 21 years, Sneha will be twice as old as Sneha was 2 years ago. How old is Sneha now?
- 13.Tara’s father is twice as old as Tara. The sum of their ages is 18 years. How old is Tara?
- 14.In 29 years, Aarav will be twice as old as Aarav was 5 years ago. How old is Aarav now?
- 15.10 years ago, Saanvi’s mother was four times as old as Saanvi. The mother is 26 years old now. How old is Saanvi now?
- 16.In 2 years, Diya will be twice as old as Diya was 6 years ago. How old is Diya now?
- 17.Vivaan is 8 years older than Kavya. In 6 years, the sum of their ages will be 56. How old is Kavya now?
- 18.7 years ago, Tara’s mother was twice as old as Tara. The mother is 17 years old now. How old is Tara now?
- 19.In 14 years, Manav will be three times as old as Manav was 4 years ago. How old is Manav now?
- 20.4 years ago, Priya’s mother was twice as old as Priya. The mother is 26 years old now. How old is Priya now?
- 21.In 16 years, Nisha will be twice as old as Nisha was 4 years ago. How old is Nisha now?
- 22.In 27 years, Vivaan will be twice as old as Vivaan was 4 years ago. How old is Vivaan now?
- 23.Dev is 4 years older than Rohan. In 2 years, the sum of their ages will be 46. How old is Rohan now?
- 24.Nisha is 6 years older than Saanvi. In 6 years, the sum of their ages will be 48. How old is Saanvi now?
- 25.Saanvi is 4 years older than Vivaan. In 6 years, the sum of their ages will be 26. How old is Vivaan now?
- 26.Vivaan is 7 years older than Kavya. In 10 years, the sum of their ages will be 45. How old is Kavya now?
- 27.In 21 years, Rahul will be twice as old as Rahul was 2 years ago. How old is Rahul now?
- 28.Aarav’s father is twice as old as Aarav. The sum of their ages is 18 years. How old is the father?
- 29.6 years ago, Nisha’s mother was three times as old as Nisha. The mother is 24 years old now. How old is Nisha now?
- 30.Isha’s father is three times as old as Isha. The sum of their ages is 56 years. How old is Isha?
- 31.Kabir’s father is five times as old as Kabir. The sum of their ages is 36 years. How old is the father?
- 32.Manav is 9 years older than Dev. In 2 years, the sum of their ages will be 69. How old is Dev now?
- 33.Priya’s father is five times as old as Priya. The sum of their ages is 54 years. How old is Priya?
- 34.Isha is 2 years older than Nisha. In 7 years, the sum of their ages will be 68. How old is Nisha now?
- 35.In 17 years, Ananya will be three times as old as Ananya was 5 years ago. How old is Ananya now?
- 36.5 years ago, Farhan’s mother was four times as old as Farhan. The mother is 21 years old now. How old is Farhan now?
- 37.In 29 years, Priya will be twice as old as Priya was 5 years ago. How old is Priya now?
- 38.In 11 years, Rohan will be twice as old as Rohan was 6 years ago. How old is Rohan now?
- 39.5 years ago, Meera’s mother was three times as old as Meera. The mother is 29 years old now. How old is Meera now?
- 40.Diya’s father is four times as old as Diya. The sum of their ages is 65 years. How old is the father?
Answer key
- 11
- 34
- 11
- 15
- 13
- 19
- 25
- 16
- 9
- 22
- 8
- 25
- 6
- 39
- 14
- 14
- 18
- 12
- 13
- 15
- 24
- 35
- 19
- 15
- 5
- 9
- 25
- 12
- 12
- 14
- 30
- 28
- 9
- 26
- 16
- 9
- 39
- 23
- 13
- 52
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