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.Priya is 9 years older than Karan. In 7 years, the sum of their ages will be 63. How old is Karan now?
- 2.Sneha’s father is three times as old as Sneha. The sum of their ages is 40 years. How old is the father?
- 3.5 years ago, Aarav’s mother was four times as old as Aarav. The mother is 29 years old now. How old is Aarav now?
- 4.Rahul is 8 years older than Saanvi. In 6 years, the sum of their ages will be 62. How old is Saanvi now?
- 5.10 years ago, Rahul’s mother was twice as old as Rahul. The mother is 24 years old now. How old is Rahul now?
- 6.Rahul’s father is three times as old as Rahul. The sum of their ages is 24 years. How old is the father?
- 7.Sneha is 4 years older than Manav. In 10 years, the sum of their ages will be 42. How old is Manav now?
- 8.In 13 years, Ananya will be twice as old as Ananya was 5 years ago. How old is Ananya now?
- 9.Arjun’s father is five times as old as Arjun. The sum of their ages is 72 years. How old is Arjun?
- 10.Manav’s father is three times as old as Manav. The sum of their ages is 48 years. How old is Manav?
- 11.In 29 years, Diya will be twice as old as Diya was 2 years ago. How old is Diya now?
- 12.7 years ago, Meera’s mother was four times as old as Meera. The mother is 43 years old now. How old is Meera now?
- 13.Manav’s father is four times as old as Manav. The sum of their ages is 35 years. How old is Manav?
- 14.Kabir is 4 years older than Dev. In 3 years, the sum of their ages will be 58. How old is Dev now?
- 15.Pooja’s father is five times as old as Pooja. The sum of their ages is 78 years. How old is Pooja?
- 16.Farhan’s father is three times as old as Farhan. The sum of their ages is 60 years. How old is the father?
- 17.In 20 years, Karan will be three times as old as Karan was 4 years ago. How old is Karan now?
- 18.Zoya’s father is five times as old as Zoya. The sum of their ages is 72 years. How old is Zoya?
- 19.In 10 years, Diya will be twice as old as Diya was 3 years ago. How old is Diya now?
- 20.Arjun is 9 years older than Kavya. In 9 years, the sum of their ages will be 65. How old is Kavya now?
- 21.Aarav’s father is twice as old as Aarav. The sum of their ages is 39 years. How old is the father?
- 22.In 9 years, Sneha will be twice as old as Sneha was 3 years ago. How old is Sneha now?
- 23.Priya is 8 years older than Saanvi. In 3 years, the sum of their ages will be 42. How old is Saanvi now?
- 24.In 19 years, Ananya will be twice as old as Ananya was 2 years ago. How old is Ananya now?
- 25.In 14 years, Tara will be three times as old as Tara was 6 years ago. How old is Tara now?
- 26.2 years ago, Dev’s mother was three times as old as Dev. The mother is 38 years old now. How old is Dev now?
- 27.7 years ago, Diya’s mother was twice as old as Diya. The mother is 15 years old now. How old is Diya now?
- 28.In 11 years, Diya will be three times as old as Diya was 3 years ago. How old is Diya now?
- 29.In 15 years, Kabir will be three times as old as Kabir was 5 years ago. How old is Kabir now?
- 30.In 25 years, Meera will be three times as old as Meera was 5 years ago. How old is Meera now?
- 31.Priya’s father is twice as old as Priya. The sum of their ages is 45 years. How old is Priya?
- 32.Ishaan is 6 years older than Dev. In 7 years, the sum of their ages will be 74. How old is Dev now?
- 33.In 10 years, Ishaan will be twice as old as Ishaan was 3 years ago. How old is Ishaan now?
- 34.Arjun is 4 years older than Rohan. In 3 years, the sum of their ages will be 28. How old is Rohan now?
- 35.Karan’s father is twice as old as Karan. The sum of their ages is 45 years. How old is Karan?
- 36.Farhan is 4 years older than Aarav. In 10 years, the sum of their ages will be 34. How old is Aarav now?
- 37.10 years ago, Meera’s mother was twice as old as Meera. The mother is 32 years old now. How old is Meera now?
- 38.Tara is 8 years older than Ishaan. In 7 years, the sum of their ages will be 48. How old is Ishaan now?
- 39.Arjun is 7 years older than Ishaan. In 7 years, the sum of their ages will be 37. How old is Ishaan now?
- 40.Zoya is 4 years older than Nisha. In 5 years, the sum of their ages will be 58. How old is Nisha now?
Answer key
- 20
- 30
- 11
- 21
- 17
- 18
- 9
- 23
- 12
- 12
- 33
- 16
- 7
- 24
- 13
- 45
- 16
- 12
- 16
- 19
- 26
- 15
- 14
- 23
- 16
- 14
- 11
- 10
- 15
- 20
- 15
- 27
- 16
- 9
- 15
- 5
- 21
- 13
- 8
- 22
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