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 four times as old as Diya. The sum of their ages is 45 years. How old is Diya?
- 2.Zoya’s father is three times as old as Zoya. The sum of their ages is 36 years. How old is the father?
- 3.Kabir is 3 years older than Ishaan. In 10 years, the sum of their ages will be 57. How old is Ishaan now?
- 4.Farhan is 6 years older than Arjun. In 6 years, the sum of their ages will be 44. How old is Arjun now?
- 5.Diya is 3 years older than Farhan. In 3 years, the sum of their ages will be 33. How old is Farhan now?
- 6.10 years ago, Aarav’s mother was four times as old as Aarav. The mother is 34 years old now. How old is Aarav now?
- 7.Kavya’s father is twice as old as Kavya. The sum of their ages is 42 years. How old is the father?
- 8.Sneha is 5 years older than Diya. In 6 years, the sum of their ages will be 63. How old is Diya now?
- 9.In 13 years, Kavya will be twice as old as Kavya was 3 years ago. How old is Kavya now?
- 10.9 years ago, Manav’s mother was three times as old as Manav. The mother is 33 years old now. How old is Manav now?
- 11.Farhan is 2 years older than Isha. In 3 years, the sum of their ages will be 22. How old is Isha now?
- 12.10 years ago, Diya’s mother was three times as old as Diya. The mother is 34 years old now. How old is Diya now?
- 13.In 28 years, Zoya will be twice as old as Zoya was 4 years ago. How old is Zoya now?
- 14.Karan’s father is three times as old as Karan. The sum of their ages is 32 years. How old is the father?
- 15.Priya is 4 years older than Kavya. In 3 years, the sum of their ages will be 50. How old is Kavya now?
- 16.2 years ago, Saanvi’s mother was twice as old as Saanvi. The mother is 18 years old now. How old is Saanvi now?
- 17.In 9 years, Tara will be twice as old as Tara was 2 years ago. How old is Tara now?
- 18.Ananya’s father is five times as old as Ananya. The sum of their ages is 30 years. How old is Ananya?
- 19.Rohan is 5 years older than Pooja. In 5 years, the sum of their ages will be 37. How old is Pooja now?
- 20.5 years ago, Aarav’s mother was twice as old as Aarav. The mother is 27 years old now. How old is Aarav now?
- 21.In 21 years, Rohan will be twice as old as Rohan was 5 years ago. How old is Rohan now?
- 22.In 3 years, Rahul will be three times as old as Rahul was 5 years ago. How old is Rahul now?
- 23.Manav is 9 years older than Pooja. In 4 years, the sum of their ages will be 69. How old is Pooja now?
- 24.In 22 years, Nisha will be twice as old as Nisha was 2 years ago. How old is Nisha now?
- 25.7 years ago, Pooja’s mother was four times as old as Pooja. The mother is 55 years old now. How old is Pooja now?
- 26.Rohan’s father is three times as old as Rohan. The sum of their ages is 56 years. How old is the father?
- 27.8 years ago, Meera’s mother was three times as old as Meera. The mother is 23 years old now. How old is Meera now?
- 28.Vivaan is 3 years older than Dev. In 7 years, the sum of their ages will be 43. How old is Dev now?
- 29.In 7 years, Aditya will be twice as old as Aditya was 6 years ago. How old is Aditya now?
- 30.Ananya’s father is twice as old as Ananya. The sum of their ages is 39 years. How old is Ananya?
- 31.Sneha’s father is twice as old as Sneha. The sum of their ages is 15 years. How old is Sneha?
- 32.4 years ago, Aarav’s mother was twice as old as Aarav. The mother is 12 years old now. How old is Aarav now?
- 33.Isha’s father is twice as old as Isha. The sum of their ages is 21 years. How old is the father?
- 34.Aditya is 5 years older than Kabir. In 6 years, the sum of their ages will be 69. How old is Kabir now?
- 35.Kabir is 8 years older than Kavya. In 4 years, the sum of their ages will be 26. How old is Kavya now?
- 36.Rohan’s father is twice as old as Rohan. The sum of their ages is 15 years. How old is Rohan?
- 37.Rohan’s father is five times as old as Rohan. The sum of their ages is 30 years. How old is the father?
- 38.Vivaan’s father is five times as old as Vivaan. The sum of their ages is 42 years. How old is the father?
- 39.In 8 years, Ananya will be three times as old as Ananya was 6 years ago. How old is Ananya now?
- 40.In 7 years, Farhan will be twice as old as Farhan was 3 years ago. How old is Farhan now?
Answer key
- 9
- 27
- 17
- 13
- 12
- 16
- 28
- 23
- 19
- 17
- 7
- 18
- 36
- 24
- 20
- 10
- 13
- 5
- 11
- 16
- 31
- 9
- 26
- 26
- 19
- 42
- 13
- 13
- 19
- 13
- 5
- 8
- 14
- 26
- 5
- 5
- 25
- 35
- 13
- 13
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