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’s father is five times as old as Diya. The sum of their ages is 36 years. How old is the father?
- 2.Arjun is 2 years older than Isha. In 9 years, the sum of their ages will be 64. How old is Isha now?
- 3.Meera’s father is three times as old as Meera. The sum of their ages is 32 years. How old is Meera?
- 4.Kabir is 3 years older than Aarav. In 5 years, the sum of their ages will be 35. How old is Aarav now?
- 5.Tara’s father is twice as old as Tara. The sum of their ages is 42 years. How old is Tara?
- 6.Nisha’s father is five times as old as Nisha. The sum of their ages is 42 years. How old is the father?
- 7.Ishaan’s father is twice as old as Ishaan. The sum of their ages is 30 years. How old is Ishaan?
- 8.Farhan is 2 years older than Pooja. In 3 years, the sum of their ages will be 38. How old is Pooja now?
- 9.In 9 years, Ananya will be twice as old as Ananya was 5 years ago. How old is Ananya now?
- 10.7 years ago, Saanvi’s mother was twice as old as Saanvi. The mother is 29 years old now. How old is Saanvi now?
- 11.Pooja’s father is twice as old as Pooja. The sum of their ages is 42 years. How old is Pooja?
- 12.Dev’s father is twice as old as Dev. The sum of their ages is 15 years. How old is the father?
- 13.Rahul is 9 years older than Nisha. In 8 years, the sum of their ages will be 49. How old is Nisha now?
- 14.Aarav is 3 years older than Rohan. In 9 years, the sum of their ages will be 81. How old is Rohan now?
- 15.Pooja’s father is four times as old as Pooja. The sum of their ages is 65 years. How old is the father?
- 16.Pooja’s father is four times as old as Pooja. The sum of their ages is 40 years. How old is the father?
- 17.9 years ago, Ishaan’s mother was twice as old as Ishaan. The mother is 29 years old now. How old is Ishaan now?
- 18.In 15 years, Meera will be twice as old as Meera was 4 years ago. How old is Meera now?
- 19.Kavya is 10 years older than Karan. In 6 years, the sum of their ages will be 66. How old is Karan now?
- 20.Kavya is 8 years older than Arjun. In 9 years, the sum of their ages will be 74. How old is Arjun now?
- 21.Rahul is 2 years older than Arjun. In 10 years, the sum of their ages will be 72. How old is Arjun now?
- 22.In 4 years, Farhan will be three times as old as Farhan was 6 years ago. How old is Farhan now?
- 23.3 years ago, Ananya’s mother was four times as old as Ananya. The mother is 15 years old now. How old is Ananya now?
- 24.In 22 years, Aarav will be twice as old as Aarav was 2 years ago. How old is Aarav now?
- 25.Zoya’s father is twice as old as Zoya. The sum of their ages is 33 years. How old is Zoya?
- 26.In 3 years, Ishaan will be twice as old as Ishaan was 5 years ago. How old is Ishaan now?
- 27.In 18 years, Kabir will be twice as old as Kabir was 2 years ago. How old is Kabir now?
- 28.Farhan is 4 years older than Kabir. In 3 years, the sum of their ages will be 24. How old is Kabir now?
- 29.In 7 years, Zoya will be twice as old as Zoya was 5 years ago. How old is Zoya now?
- 30.In 25 years, Arjun will be twice as old as Arjun was 3 years ago. How old is Arjun now?
- 31.Zoya is 6 years older than Saanvi. In 7 years, the sum of their ages will be 66. How old is Saanvi now?
- 32.4 years ago, Ananya’s mother was twice as old as Ananya. The mother is 16 years old now. How old is Ananya now?
- 33.Aarav’s father is twice as old as Aarav. The sum of their ages is 18 years. How old is the father?
- 34.Rohan’s father is four times as old as Rohan. The sum of their ages is 60 years. How old is the father?
- 35.3 years ago, Saanvi’s mother was four times as old as Saanvi. The mother is 35 years old now. How old is Saanvi now?
- 36.Priya’s father is four times as old as Priya. The sum of their ages is 35 years. How old is Priya?
- 37.Farhan is 2 years older than Tara. In 5 years, the sum of their ages will be 52. How old is Tara now?
- 38.Diya’s father is five times as old as Diya. The sum of their ages is 30 years. How old is Diya?
- 39.4 years ago, Saanvi’s mother was four times as old as Saanvi. The mother is 48 years old now. How old is Saanvi now?
- 40.Meera’s father is five times as old as Meera. The sum of their ages is 72 years. How old is the father?
Answer key
- 30
- 22
- 8
- 11
- 14
- 35
- 10
- 15
- 19
- 18
- 14
- 10
- 12
- 30
- 52
- 32
- 19
- 23
- 22
- 24
- 25
- 11
- 6
- 26
- 11
- 13
- 22
- 7
- 17
- 31
- 23
- 10
- 12
- 48
- 11
- 7
- 20
- 5
- 15
- 60
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