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.In 14 years, Saanvi will be twice as old as Saanvi was 6 years ago. How old is Saanvi now?
- 2.In 8 years, Aarav will be twice as old as Aarav was 6 years ago. How old is Aarav now?
- 3.In 15 years, Tara will be twice as old as Tara was 3 years ago. How old is Tara now?
- 4.8 years ago, Arjun’s mother was four times as old as Arjun. The mother is 56 years old now. How old is Arjun now?
- 5.Karan’s father is five times as old as Karan. The sum of their ages is 84 years. How old is Karan?
- 6.In 12 years, Sneha will be three times as old as Sneha was 4 years ago. How old is Sneha now?
- 7.6 years ago, Ishaan’s mother was twice as old as Ishaan. The mother is 14 years old now. How old is Ishaan now?
- 8.Farhan’s father is four times as old as Farhan. The sum of their ages is 60 years. How old is Farhan?
- 9.Sneha is 5 years older than Kavya. In 2 years, the sum of their ages will be 47. How old is Kavya now?
- 10.5 years ago, Rohan’s mother was four times as old as Rohan. The mother is 33 years old now. How old is Rohan now?
- 11.Ishaan is 10 years older than Rohan. In 3 years, the sum of their ages will be 62. How old is Rohan now?
- 12.Karan is 3 years older than Arjun. In 2 years, the sum of their ages will be 43. How old is Arjun now?
- 13.Diya’s father is twice as old as Diya. The sum of their ages is 21 years. How old is Diya?
- 14.9 years ago, Tara’s mother was twice as old as Tara. The mother is 15 years old now. How old is Tara now?
- 15.3 years ago, Dev’s mother was twice as old as Dev. The mother is 9 years old now. How old is Dev now?
- 16.9 years ago, Ishaan’s mother was twice as old as Ishaan. The mother is 15 years old now. How old is Ishaan now?
- 17.Sneha is 5 years older than Vivaan. In 10 years, the sum of their ages will be 85. How old is Vivaan now?
- 18.5 years ago, Saanvi’s mother was twice as old as Saanvi. The mother is 13 years old now. How old is Saanvi now?
- 19.Rahul is 3 years older than Diya. In 7 years, the sum of their ages will be 59. How old is Diya now?
- 20.Farhan is 6 years older than Aditya. In 7 years, the sum of their ages will be 36. How old is Aditya now?
- 21.In 7 years, Nisha will be three times as old as Nisha was 3 years ago. How old is Nisha now?
- 22.Aarav’s father is four times as old as Aarav. The sum of their ages is 60 years. How old is Aarav?
- 23.Isha is 3 years older than Aarav. In 8 years, the sum of their ages will be 69. How old is Aarav now?
- 24.In 10 years, Karan will be twice as old as Karan was 2 years ago. How old is Karan now?
- 25.Nisha is 2 years older than Ananya. In 3 years, the sum of their ages will be 44. How old is Ananya now?
- 26.Rahul is 9 years older than Tara. In 3 years, the sum of their ages will be 59. How old is Tara now?
- 27.9 years ago, Dev’s mother was three times as old as Dev. The mother is 27 years old now. How old is Dev now?
- 28.Sneha’s father is four times as old as Sneha. The sum of their ages is 65 years. How old is Sneha?
- 29.10 years ago, Isha’s mother was three times as old as Isha. The mother is 28 years old now. How old is Isha now?
- 30.Sneha’s father is twice as old as Sneha. The sum of their ages is 27 years. How old is the father?
- 31.In 10 years, Aditya will be three times as old as Aditya was 2 years ago. How old is Aditya now?
- 32.Sneha is 8 years older than Priya. In 3 years, the sum of their ages will be 52. How old is Priya now?
- 33.Ananya is 3 years older than Isha. In 5 years, the sum of their ages will be 27. How old is Isha now?
- 34.Tara’s father is four times as old as Tara. The sum of their ages is 35 years. How old is the father?
- 35.Manav’s father is five times as old as Manav. The sum of their ages is 66 years. How old is Manav?
- 36.Dev’s father is twice as old as Dev. The sum of their ages is 15 years. How old is the father?
- 37.2 years ago, Pooja’s mother was three times as old as Pooja. The mother is 23 years old now. How old is Pooja now?
- 38.Isha’s father is three times as old as Isha. The sum of their ages is 56 years. How old is the father?
- 39.Sneha’s father is twice as old as Sneha. The sum of their ages is 21 years. How old is Sneha?
- 40.Rahul is 2 years older than Arjun. In 4 years, the sum of their ages will be 56. How old is Arjun now?
Answer key
- 26
- 20
- 21
- 20
- 14
- 12
- 10
- 12
- 19
- 12
- 23
- 18
- 7
- 12
- 6
- 12
- 30
- 9
- 21
- 8
- 8
- 12
- 25
- 14
- 18
- 22
- 15
- 13
- 16
- 18
- 8
- 19
- 7
- 28
- 11
- 10
- 9
- 42
- 7
- 23
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