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 twice as old as Diya. The sum of their ages is 42 years. How old is the father?
- 2.Manav’s father is three times as old as Manav. The sum of their ages is 32 years. How old is Manav?
- 3.In 22 years, Manav will be three times as old as Manav was 2 years ago. How old is Manav now?
- 4.Aarav is 9 years older than Kavya. In 5 years, the sum of their ages will be 35. How old is Kavya now?
- 5.9 years ago, Ishaan’s mother was three times as old as Ishaan. The mother is 33 years old now. How old is Ishaan now?
- 6.Ishaan is 6 years older than Nisha. In 7 years, the sum of their ages will be 48. How old is Nisha now?
- 7.In 12 years, Tara will be twice as old as Tara was 3 years ago. How old is Tara now?
- 8.In 14 years, Rahul will be twice as old as Rahul was 4 years ago. How old is Rahul now?
- 9.Kabir’s father is five times as old as Kabir. The sum of their ages is 54 years. How old is Kabir?
- 10.Sneha is 10 years older than Vivaan. In 2 years, the sum of their ages will be 44. How old is Vivaan now?
- 11.6 years ago, Diya’s mother was four times as old as Diya. The mother is 38 years old now. How old is Diya now?
- 12.In 24 years, Tara will be three times as old as Tara was 4 years ago. How old is Tara now?
- 13.Sneha’s father is five times as old as Sneha. The sum of their ages is 60 years. How old is the father?
- 14.In 26 years, Pooja will be twice as old as Pooja was 2 years ago. How old is Pooja now?
- 15.4 years ago, Aarav’s mother was three times as old as Aarav. The mother is 40 years old now. How old is Aarav now?
- 16.5 years ago, Isha’s mother was three times as old as Isha. The mother is 29 years old now. How old is Isha now?
- 17.In 3 years, Ishaan will be twice as old as Ishaan was 5 years ago. How old is Ishaan now?
- 18.In 2 years, Aarav will be twice as old as Aarav was 3 years ago. How old is Aarav now?
- 19.In 23 years, Farhan will be twice as old as Farhan was 3 years ago. How old is Farhan now?
- 20.In 12 years, Ishaan will be three times as old as Ishaan was 4 years ago. How old is Ishaan now?
- 21.Saanvi’s father is four times as old as Saanvi. The sum of their ages is 35 years. How old is Saanvi?
- 22.Dev is 7 years older than Karan. In 6 years, the sum of their ages will be 47. How old is Karan now?
- 23.2 years ago, Aditya’s mother was three times as old as Aditya. The mother is 38 years old now. How old is Aditya now?
- 24.Saanvi is 7 years older than Diya. In 2 years, the sum of their ages will be 49. How old is Diya now?
- 25.Dev is 7 years older than Kabir. In 8 years, the sum of their ages will be 79. How old is Kabir now?
- 26.Priya is 5 years older than Rahul. In 3 years, the sum of their ages will be 35. How old is Rahul now?
- 27.Karan is 10 years older than Manav. In 2 years, the sum of their ages will be 52. How old is Manav now?
- 28.Rohan’s father is five times as old as Rohan. The sum of their ages is 60 years. How old is the father?
- 29.Tara is 10 years older than Rahul. In 2 years, the sum of their ages will be 48. How old is Rahul now?
- 30.In 7 years, Tara will be three times as old as Tara was 3 years ago. How old is Tara now?
- 31.Meera is 5 years older than Pooja. In 10 years, the sum of their ages will be 55. How old is Pooja now?
- 32.Ananya’s father is four times as old as Ananya. The sum of their ages is 75 years. How old is the father?
- 33.In 21 years, Aarav will be twice as old as Aarav was 2 years ago. How old is Aarav now?
- 34.4 years ago, Priya’s mother was twice as old as Priya. The mother is 28 years old now. How old is Priya now?
- 35.Karan’s father is five times as old as Karan. The sum of their ages is 48 years. How old is the father?
- 36.Karan’s father is four times as old as Karan. The sum of their ages is 35 years. How old is Karan?
- 37.In 14 years, Rahul will be three times as old as Rahul was 6 years ago. How old is Rahul now?
- 38.Vivaan is 8 years older than Zoya. In 2 years, the sum of their ages will be 34. How old is Zoya now?
- 39.Farhan is 9 years older than Kavya. In 4 years, the sum of their ages will be 69. How old is Kavya now?
- 40.Arjun’s father is four times as old as Arjun. The sum of their ages is 40 years. How old is the father?
Answer key
- 28
- 8
- 14
- 8
- 17
- 14
- 18
- 22
- 9
- 15
- 14
- 18
- 50
- 30
- 16
- 13
- 13
- 8
- 29
- 12
- 7
- 14
- 14
- 19
- 28
- 12
- 19
- 50
- 17
- 8
- 15
- 60
- 25
- 16
- 40
- 7
- 16
- 11
- 26
- 32
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