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.Vivaan’s father is twice as old as Vivaan. The sum of their ages is 21 years. How old is Vivaan?
- 2.7 years ago, Rohan’s mother was twice as old as Rohan. The mother is 17 years old now. How old is Rohan now?
- 3.Rahul is 8 years older than Aditya. In 10 years, the sum of their ages will be 62. How old is Aditya now?
- 4.Rahul’s father is twice as old as Rahul. The sum of their ages is 15 years. How old is Rahul?
- 5.In 13 years, Sneha will be twice as old as Sneha was 5 years ago. How old is Sneha now?
- 6.5 years ago, Dev’s mother was three times as old as Dev. The mother is 41 years old now. How old is Dev now?
- 7.8 years ago, Aarav’s mother was four times as old as Aarav. The mother is 40 years old now. How old is Aarav now?
- 8.In 14 years, Kavya will be twice as old as Kavya was 2 years ago. How old is Kavya now?
- 9.Aditya is 9 years older than Zoya. In 10 years, the sum of their ages will be 71. How old is Zoya now?
- 10.9 years ago, Dev’s mother was four times as old as Dev. The mother is 53 years old now. How old is Dev now?
- 11.Meera’s father is four times as old as Meera. The sum of their ages is 25 years. How old is Meera?
- 12.Saanvi’s father is three times as old as Saanvi. The sum of their ages is 32 years. How old is Saanvi?
- 13.5 years ago, Meera’s mother was twice as old as Meera. The mother is 23 years old now. How old is Meera now?
- 14.In 8 years, Kavya will be twice as old as Kavya was 2 years ago. How old is Kavya now?
- 15.Aarav is 3 years older than Priya. In 6 years, the sum of their ages will be 75. How old is Priya now?
- 16.In 10 years, Manav will be twice as old as Manav was 5 years ago. How old is Manav now?
- 17.In 15 years, Isha will be twice as old as Isha was 5 years ago. How old is Isha now?
- 18.Arjun is 2 years older than Kabir. In 8 years, the sum of their ages will be 34. How old is Kabir now?
- 19.Aditya’s father is twice as old as Aditya. The sum of their ages is 30 years. How old is the father?
- 20.In 22 years, Kabir will be three times as old as Kabir was 6 years ago. How old is Kabir now?
- 21.2 years ago, Ishaan’s mother was three times as old as Ishaan. The mother is 20 years old now. How old is Ishaan now?
- 22.Isha’s father is four times as old as Isha. The sum of their ages is 65 years. How old is the father?
- 23.Diya’s father is five times as old as Diya. The sum of their ages is 30 years. How old is Diya?
- 24.3 years ago, Diya’s mother was twice as old as Diya. The mother is 11 years old now. How old is Diya now?
- 25.In 17 years, Aarav will be three times as old as Aarav was 5 years ago. How old is Aarav now?
- 26.6 years ago, Kavya’s mother was three times as old as Kavya. The mother is 27 years old now. How old is Kavya now?
- 27.Manav is 3 years older than Arjun. In 8 years, the sum of their ages will be 29. How old is Arjun now?
- 28.2 years ago, Kabir’s mother was three times as old as Kabir. The mother is 23 years old now. How old is Kabir now?
- 29.Ananya’s father is twice as old as Ananya. The sum of their ages is 33 years. How old is Ananya?
- 30.In 10 years, Karan will be twice as old as Karan was 2 years ago. How old is Karan now?
- 31.Diya is 8 years older than Nisha. In 3 years, the sum of their ages will be 44. How old is Nisha now?
- 32.Isha’s father is five times as old as Isha. The sum of their ages is 90 years. How old is the father?
- 33.Arjun’s father is four times as old as Arjun. The sum of their ages is 25 years. How old is Arjun?
- 34.3 years ago, Saanvi’s mother was twice as old as Saanvi. The mother is 9 years old now. How old is Saanvi now?
- 35.Kavya is 4 years older than Sneha. In 10 years, the sum of their ages will be 46. How old is Sneha now?
- 36.Farhan’s father is twice as old as Farhan. The sum of their ages is 36 years. How old is Farhan?
- 37.Aarav is 8 years older than Sneha. In 5 years, the sum of their ages will be 54. How old is Sneha now?
- 38.Farhan’s father is five times as old as Farhan. The sum of their ages is 84 years. How old is Farhan?
- 39.In 7 years, Ishaan will be twice as old as Ishaan was 3 years ago. How old is Ishaan now?
- 40.In 18 years, Rahul will be three times as old as Rahul was 6 years ago. How old is Rahul now?
Answer key
- 7
- 12
- 17
- 5
- 23
- 17
- 16
- 18
- 21
- 20
- 5
- 8
- 14
- 12
- 30
- 20
- 25
- 8
- 20
- 20
- 8
- 52
- 5
- 7
- 16
- 13
- 5
- 9
- 11
- 14
- 15
- 75
- 5
- 6
- 11
- 12
- 18
- 14
- 13
- 18
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