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.Karan’s father is four times as old as Karan. The sum of their ages is 50 years. How old is Karan?
- 2.10 years ago, Nisha’s mother was four times as old as Nisha. The mother is 42 years old now. How old is Nisha now?
- 3.9 years ago, Aarav’s mother was four times as old as Aarav. The mother is 57 years old now. How old is Aarav now?
- 4.In 9 years, Rahul will be three times as old as Rahul was 3 years ago. How old is Rahul now?
- 5.Karan’s father is five times as old as Karan. The sum of their ages is 72 years. How old is Karan?
- 6.Karan is 10 years older than Rahul. In 5 years, the sum of their ages will be 38. How old is Rahul now?
- 7.Diya is 3 years older than Ishaan. In 8 years, the sum of their ages will be 73. How old is Ishaan now?
- 8.Isha’s father is five times as old as Isha. The sum of their ages is 54 years. How old is Isha?
- 9.7 years ago, Tara’s mother was twice as old as Tara. The mother is 21 years old now. How old is Tara now?
- 10.In 18 years, Ananya will be twice as old as Ananya was 5 years ago. How old is Ananya now?
- 11.Pooja’s father is twice as old as Pooja. The sum of their ages is 27 years. How old is the father?
- 12.Saanvi’s father is four times as old as Saanvi. The sum of their ages is 35 years. How old is Saanvi?
- 13.4 years ago, Kabir’s mother was three times as old as Kabir. The mother is 25 years old now. How old is Kabir now?
- 14.In 19 years, Aarav will be twice as old as Aarav was 3 years ago. How old is Aarav now?
- 15.In 26 years, Priya will be three times as old as Priya was 2 years ago. How old is Priya now?
- 16.In 3 years, Dev will be twice as old as Dev was 3 years ago. How old is Dev now?
- 17.Rahul’s father is four times as old as Rahul. The sum of their ages is 60 years. How old is the father?
- 18.Priya is 3 years older than Rahul. In 6 years, the sum of their ages will be 33. How old is Rahul now?
- 19.Rahul is 3 years older than Pooja. In 6 years, the sum of their ages will be 27. How old is Pooja now?
- 20.3 years ago, Arjun’s mother was three times as old as Arjun. The mother is 39 years old now. How old is Arjun now?
- 21.10 years ago, Saanvi’s mother was four times as old as Saanvi. The mother is 58 years old now. How old is Saanvi now?
- 22.5 years ago, Isha’s mother was four times as old as Isha. The mother is 49 years old now. How old is Isha now?
- 23.Tara is 3 years older than Nisha. In 8 years, the sum of their ages will be 33. How old is Nisha now?
- 24.7 years ago, Rohan’s mother was twice as old as Rohan. The mother is 25 years old now. How old is Rohan now?
- 25.In 22 years, Rohan will be twice as old as Rohan was 5 years ago. How old is Rohan now?
- 26.Kavya is 10 years older than Diya. In 2 years, the sum of their ages will be 24. How old is Diya now?
- 27.Priya is 10 years older than Meera. In 2 years, the sum of their ages will be 28. How old is Meera now?
- 28.In 9 years, Farhan will be twice as old as Farhan was 5 years ago. How old is Farhan now?
- 29.In 24 years, Ishaan will be twice as old as Ishaan was 3 years ago. How old is Ishaan now?
- 30.2 years ago, Kabir’s mother was twice as old as Kabir. The mother is 10 years old now. How old is Kabir now?
- 31.Kavya is 6 years older than Manav. In 5 years, the sum of their ages will be 68. How old is Manav now?
- 32.In 25 years, Priya will be twice as old as Priya was 6 years ago. How old is Priya now?
- 33.4 years ago, Kabir’s mother was twice as old as Kabir. The mother is 28 years old now. How old is Kabir now?
- 34.Tara is 10 years older than Meera. In 5 years, the sum of their ages will be 44. How old is Meera now?
- 35.Karan is 7 years older than Ananya. In 7 years, the sum of their ages will be 49. How old is Ananya now?
- 36.2 years ago, Ishaan’s mother was twice as old as Ishaan. The mother is 24 years old now. How old is Ishaan now?
- 37.In 3 years, Farhan will be twice as old as Farhan was 6 years ago. How old is Farhan now?
- 38.3 years ago, Nisha’s mother was twice as old as Nisha. The mother is 13 years old now. How old is Nisha now?
- 39.Kavya’s father is twice as old as Kavya. The sum of their ages is 42 years. How old is the father?
- 40.Kabir’s father is four times as old as Kabir. The sum of their ages is 60 years. How old is Kabir?
Answer key
- 10
- 18
- 21
- 9
- 12
- 9
- 27
- 9
- 14
- 28
- 18
- 7
- 11
- 25
- 16
- 9
- 48
- 9
- 6
- 15
- 22
- 16
- 7
- 16
- 32
- 5
- 7
- 19
- 30
- 6
- 26
- 37
- 16
- 12
- 14
- 13
- 15
- 8
- 28
- 12
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