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.Priya’s father is three times as old as Priya. The sum of their ages is 60 years. How old is Priya?
- 2.Rahul’s father is three times as old as Rahul. The sum of their ages is 32 years. How old is Rahul?
- 3.Farhan’s father is four times as old as Farhan. The sum of their ages is 60 years. How old is the father?
- 4.Aarav’s father is five times as old as Aarav. The sum of their ages is 30 years. How old is the father?
- 5.4 years ago, Nisha’s mother was three times as old as Nisha. The mother is 19 years old now. How old is Nisha now?
- 6.Rohan is 7 years older than Zoya. In 4 years, the sum of their ages will be 53. How old is Zoya now?
- 7.7 years ago, Saanvi’s mother was four times as old as Saanvi. The mother is 19 years old now. How old is Saanvi now?
- 8.Diya’s father is twice as old as Diya. The sum of their ages is 42 years. How old is Diya?
- 9.Dev is 3 years older than Arjun. In 6 years, the sum of their ages will be 31. How old is Arjun now?
- 10.8 years ago, Saanvi’s mother was twice as old as Saanvi. The mother is 28 years old now. How old is Saanvi now?
- 11.6 years ago, Dev’s mother was twice as old as Dev. The mother is 12 years old now. How old is Dev now?
- 12.Farhan’s father is three times as old as Farhan. The sum of their ages is 20 years. How old is Farhan?
- 13.In 22 years, Kabir will be three times as old as Kabir was 4 years ago. How old is Kabir now?
- 14.Kavya’s father is five times as old as Kavya. The sum of their ages is 66 years. How old is the father?
- 15.In 27 years, Priya will be twice as old as Priya was 6 years ago. How old is Priya now?
- 16.6 years ago, Rahul’s mother was three times as old as Rahul. The mother is 15 years old now. How old is Rahul now?
- 17.Sneha is 4 years older than Ishaan. In 9 years, the sum of their ages will be 54. How old is Ishaan now?
- 18.Tara’s father is twice as old as Tara. The sum of their ages is 15 years. How old is Tara?
- 19.9 years ago, Nisha’s mother was three times as old as Nisha. The mother is 18 years old now. How old is Nisha now?
- 20.8 years ago, Kavya’s mother was three times as old as Kavya. The mother is 17 years old now. How old is Kavya now?
- 21.In 11 years, Farhan will be twice as old as Farhan was 4 years ago. How old is Farhan now?
- 22.Ishaan is 10 years older than Pooja. In 10 years, the sum of their ages will be 70. How old is Pooja now?
- 23.10 years ago, Priya’s mother was twice as old as Priya. The mother is 32 years old now. How old is Priya now?
- 24.Kabir’s father is twice as old as Kabir. The sum of their ages is 30 years. How old is the father?
- 25.Rohan’s father is five times as old as Rohan. The sum of their ages is 60 years. How old is the father?
- 26.In 4 years, Arjun will be three times as old as Arjun was 4 years ago. How old is Arjun now?
- 27.Manav is 9 years older than Rahul. In 3 years, the sum of their ages will be 29. How old is Rahul now?
- 28.7 years ago, Tara’s mother was four times as old as Tara. The mother is 27 years old now. How old is Tara now?
- 29.Isha’s father is five times as old as Isha. The sum of their ages is 36 years. How old is Isha?
- 30.Zoya’s father is five times as old as Zoya. The sum of their ages is 72 years. How old is Zoya?
- 31.In 7 years, Priya will be twice as old as Priya was 2 years ago. How old is Priya now?
- 32.Rohan is 9 years older than Kabir. In 3 years, the sum of their ages will be 33. How old is Kabir now?
- 33.Kavya’s father is three times as old as Kavya. The sum of their ages is 20 years. How old is the father?
- 34.Aarav’s father is three times as old as Aarav. The sum of their ages is 32 years. How old is the father?
- 35.Ishaan is 10 years older than Isha. In 3 years, the sum of their ages will be 28. How old is Isha now?
- 36.Tara’s father is five times as old as Tara. The sum of their ages is 60 years. How old is the father?
- 37.Pooja is 9 years older than Meera. In 8 years, the sum of their ages will be 41. How old is Meera now?
- 38.Manav is 9 years older than Priya. In 7 years, the sum of their ages will be 41. How old is Priya now?
- 39.Vivaan’s father is four times as old as Vivaan. The sum of their ages is 75 years. How old is the father?
- 40.Arjun’s father is three times as old as Arjun. The sum of their ages is 48 years. How old is Arjun?
Answer key
- 15
- 8
- 48
- 25
- 9
- 19
- 10
- 14
- 8
- 18
- 9
- 5
- 17
- 55
- 39
- 9
- 16
- 5
- 12
- 11
- 19
- 20
- 21
- 20
- 50
- 8
- 7
- 12
- 6
- 12
- 11
- 9
- 15
- 24
- 6
- 50
- 8
- 9
- 60
- 12
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