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.Diya is 10 years older than Arjun. In 6 years, the sum of their ages will be 62. How old is Arjun now?
- 2.In 13 years, Kabir will be three times as old as Kabir was 3 years ago. How old is Kabir now?
- 3.Karan’s father is three times as old as Karan. The sum of their ages is 24 years. How old is Karan?
- 4.8 years ago, Manav’s mother was twice as old as Manav. The mother is 28 years old now. How old is Manav now?
- 5.4 years ago, Sneha’s mother was three times as old as Sneha. The mother is 40 years old now. How old is Sneha now?
- 6.2 years ago, Farhan’s mother was twice as old as Farhan. The mother is 14 years old now. How old is Farhan now?
- 7.Dev’s father is four times as old as Dev. The sum of their ages is 70 years. How old is Dev?
- 8.Priya’s father is five times as old as Priya. The sum of their ages is 78 years. How old is the father?
- 9.5 years ago, Rohan’s mother was four times as old as Rohan. The mother is 21 years old now. How old is Rohan now?
- 10.10 years ago, Rohan’s mother was twice as old as Rohan. The mother is 24 years old now. How old is Rohan now?
- 11.Tara is 5 years older than Aarav. In 7 years, the sum of their ages will be 79. How old is Aarav now?
- 12.8 years ago, Arjun’s mother was twice as old as Arjun. The mother is 18 years old now. How old is Arjun now?
- 13.Aditya’s father is twice as old as Aditya. The sum of their ages is 24 years. How old is Aditya?
- 14.Meera’s father is twice as old as Meera. The sum of their ages is 42 years. How old is Meera?
- 15.Nisha is 10 years older than Kavya. In 10 years, the sum of their ages will be 78. How old is Kavya now?
- 16.In 7 years, Diya will be twice as old as Diya was 3 years ago. How old is Diya now?
- 17.In 8 years, Aditya will be twice as old as Aditya was 4 years ago. How old is Aditya now?
- 18.Ishaan’s father is twice as old as Ishaan. The sum of their ages is 21 years. How old is the father?
- 19.6 years ago, Saanvi’s mother was four times as old as Saanvi. The mother is 38 years old now. How old is Saanvi now?
- 20.Aditya’s father is three times as old as Aditya. The sum of their ages is 32 years. How old is the father?
- 21.8 years ago, Pooja’s mother was twice as old as Pooja. The mother is 22 years old now. How old is Pooja now?
- 22.In 23 years, Dev will be three times as old as Dev was 3 years ago. How old is Dev now?
- 23.Diya is 3 years older than Ananya. In 2 years, the sum of their ages will be 31. How old is Ananya now?
- 24.Kabir is 3 years older than Tara. In 8 years, the sum of their ages will be 79. How old is Tara now?
- 25.Rohan is 3 years older than Vivaan. In 2 years, the sum of their ages will be 25. How old is Vivaan now?
- 26.Diya’s father is twice as old as Diya. The sum of their ages is 39 years. How old is Diya?
- 27.Meera’s father is twice as old as Meera. The sum of their ages is 15 years. How old is Meera?
- 28.In 21 years, Aarav will be twice as old as Aarav was 2 years ago. How old is Aarav now?
- 29.Kavya’s father is five times as old as Kavya. The sum of their ages is 36 years. How old is Kavya?
- 30.In 13 years, Zoya will be twice as old as Zoya was 3 years ago. How old is Zoya now?
- 31.Zoya is 4 years older than Sneha. In 8 years, the sum of their ages will be 72. How old is Sneha now?
- 32.Priya is 9 years older than Rahul. In 4 years, the sum of their ages will be 45. How old is Rahul now?
- 33.In 25 years, Farhan will be twice as old as Farhan was 4 years ago. How old is Farhan now?
- 34.Tara’s father is twice as old as Tara. The sum of their ages is 30 years. How old is Tara?
- 35.Meera’s father is twice as old as Meera. The sum of their ages is 24 years. How old is Meera?
- 36.10 years ago, Farhan’s mother was twice as old as Farhan. The mother is 32 years old now. How old is Farhan now?
- 37.Meera is 2 years older than Karan. In 2 years, the sum of their ages will be 20. How old is Karan now?
- 38.7 years ago, Nisha’s mother was four times as old as Nisha. The mother is 47 years old now. How old is Nisha now?
- 39.In 18 years, Rohan will be twice as old as Rohan was 6 years ago. How old is Rohan now?
- 40.4 years ago, Tara’s mother was twice as old as Tara. The mother is 12 years old now. How old is Tara now?
Answer key
- 20
- 11
- 6
- 18
- 16
- 8
- 14
- 65
- 9
- 17
- 30
- 13
- 8
- 14
- 24
- 13
- 16
- 14
- 14
- 24
- 15
- 16
- 12
- 30
- 9
- 13
- 5
- 25
- 6
- 19
- 26
- 14
- 33
- 10
- 8
- 21
- 7
- 17
- 30
- 8
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