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.Arjun is 10 years older than Vivaan. In 5 years, the sum of their ages will be 66. How old is Vivaan now?
- 2.9 years ago, Isha’s mother was three times as old as Isha. The mother is 24 years old now. How old is Isha now?
- 3.In 15 years, Zoya will be twice as old as Zoya was 6 years ago. How old is Zoya now?
- 4.Meera’s father is five times as old as Meera. The sum of their ages is 90 years. How old is the father?
- 5.10 years ago, Isha’s mother was three times as old as Isha. The mother is 31 years old now. How old is Isha now?
- 6.Vivaan’s father is twice as old as Vivaan. The sum of their ages is 30 years. How old is Vivaan?
- 7.Rohan’s father is twice as old as Rohan. The sum of their ages is 33 years. How old is the father?
- 8.Saanvi is 2 years older than Karan. In 7 years, the sum of their ages will be 32. How old is Karan now?
- 9.In 2 years, Dev will be twice as old as Dev was 6 years ago. How old is Dev now?
- 10.Priya’s father is three times as old as Priya. The sum of their ages is 28 years. How old is Priya?
- 11.Arjun is 5 years older than Sneha. In 4 years, the sum of their ages will be 33. How old is Sneha now?
- 12.Arjun’s father is twice as old as Arjun. The sum of their ages is 27 years. How old is Arjun?
- 13.Farhan is 6 years older than Arjun. In 2 years, the sum of their ages will be 38. How old is Arjun now?
- 14.Aditya is 3 years older than Rohan. In 5 years, the sum of their ages will be 43. How old is Rohan now?
- 15.Saanvi is 9 years older than Diya. In 4 years, the sum of their ages will be 35. How old is Diya now?
- 16.10 years ago, Aarav’s mother was four times as old as Aarav. The mother is 30 years old now. How old is Aarav now?
- 17.Sneha is 3 years older than Ananya. In 3 years, the sum of their ages will be 55. How old is Ananya now?
- 18.In 9 years, Nisha will be twice as old as Nisha was 5 years ago. How old is Nisha now?
- 19.Kavya is 4 years older than Priya. In 2 years, the sum of their ages will be 24. How old is Priya now?
- 20.Saanvi’s father is twice as old as Saanvi. The sum of their ages is 24 years. How old is the father?
- 21.In 18 years, Kavya will be three times as old as Kavya was 4 years ago. How old is Kavya now?
- 22.In 6 years, Vivaan will be three times as old as Vivaan was 4 years ago. How old is Vivaan now?
- 23.Dev is 9 years older than Karan. In 4 years, the sum of their ages will be 63. How old is Karan now?
- 24.In 20 years, Diya will be twice as old as Diya was 5 years ago. How old is Diya now?
- 25.Meera is 8 years older than Kavya. In 7 years, the sum of their ages will be 42. How old is Kavya now?
- 26.Priya is 9 years older than Diya. In 5 years, the sum of their ages will be 37. How old is Diya now?
- 27.Diya is 7 years older than Rohan. In 2 years, the sum of their ages will be 43. How old is Rohan now?
- 28.In 30 years, Aditya will be twice as old as Aditya was 5 years ago. How old is Aditya now?
- 29.Dev is 8 years older than Manav. In 3 years, the sum of their ages will be 56. How old is Manav now?
- 30.Manav’s father is twice as old as Manav. The sum of their ages is 24 years. How old is the father?
- 31.Kabir’s father is four times as old as Kabir. The sum of their ages is 75 years. How old is the father?
- 32.10 years ago, Isha’s mother was three times as old as Isha. The mother is 37 years old now. How old is Isha now?
- 33.Farhan’s father is twice as old as Farhan. The sum of their ages is 15 years. How old is the father?
- 34.Priya’s father is twice as old as Priya. The sum of their ages is 18 years. How old is Priya?
- 35.4 years ago, Manav’s mother was four times as old as Manav. The mother is 20 years old now. How old is Manav now?
- 36.Kabir’s father is five times as old as Kabir. The sum of their ages is 42 years. How old is Kabir?
- 37.7 years ago, Kabir’s mother was three times as old as Kabir. The mother is 40 years old now. How old is Kabir now?
- 38.Diya’s father is three times as old as Diya. The sum of their ages is 40 years. How old is Diya?
- 39.Aarav is 7 years older than Nisha. In 10 years, the sum of their ages will be 47. How old is Nisha now?
- 40.10 years ago, Tara’s mother was three times as old as Tara. The mother is 37 years old now. How old is Tara now?
Answer key
- 23
- 14
- 27
- 75
- 17
- 10
- 22
- 8
- 14
- 7
- 10
- 9
- 14
- 15
- 9
- 15
- 23
- 19
- 8
- 16
- 15
- 9
- 23
- 30
- 10
- 9
- 16
- 40
- 21
- 16
- 60
- 19
- 10
- 6
- 8
- 7
- 18
- 10
- 10
- 19
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