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 four times as old as Vivaan. The sum of their ages is 25 years. How old is Vivaan?
- 2.Aarav’s father is five times as old as Aarav. The sum of their ages is 30 years. How old is the father?
- 3.Ishaan is 8 years older than Vivaan. In 5 years, the sum of their ages will be 48. How old is Vivaan now?
- 4.In 5 years, Aarav will be twice as old as Aarav was 6 years ago. How old is Aarav now?
- 5.5 years ago, Vivaan’s mother was twice as old as Vivaan. The mother is 19 years old now. How old is Vivaan now?
- 6.Rahul’s father is twice as old as Rahul. The sum of their ages is 45 years. How old is the father?
- 7.2 years ago, Kabir’s mother was twice as old as Kabir. The mother is 22 years old now. How old is Kabir now?
- 8.Ishaan is 8 years older than Pooja. In 3 years, the sum of their ages will be 36. How old is Pooja now?
- 9.4 years ago, Sneha’s mother was twice as old as Sneha. The mother is 28 years old now. How old is Sneha now?
- 10.7 years ago, Aarav’s mother was four times as old as Aarav. The mother is 39 years old now. How old is Aarav now?
- 11.In 12 years, Vivaan will be twice as old as Vivaan was 3 years ago. How old is Vivaan now?
- 12.In 5 years, Kabir will be three times as old as Kabir was 5 years ago. How old is Kabir now?
- 13.Ananya is 4 years older than Karan. In 10 years, the sum of their ages will be 42. How old is Karan now?
- 14.Ananya’s father is four times as old as Ananya. The sum of their ages is 50 years. How old is Ananya?
- 15.Kavya is 8 years older than Diya. In 5 years, the sum of their ages will be 76. How old is Diya now?
- 16.2 years ago, Rahul’s mother was four times as old as Rahul. The mother is 46 years old now. How old is Rahul now?
- 17.Kavya’s father is twice as old as Kavya. The sum of their ages is 33 years. How old is Kavya?
- 18.3 years ago, Ishaan’s mother was three times as old as Ishaan. The mother is 36 years old now. How old is Ishaan now?
- 19.Manav’s father is four times as old as Manav. The sum of their ages is 30 years. How old is the father?
- 20.Aarav is 3 years older than Vivaan. In 9 years, the sum of their ages will be 53. How old is Vivaan now?
- 21.Rohan’s father is three times as old as Rohan. The sum of their ages is 44 years. How old is the father?
- 22.Kavya is 6 years older than Ishaan. In 7 years, the sum of their ages will be 68. How old is Ishaan now?
- 23.3 years ago, Vivaan’s mother was four times as old as Vivaan. The mother is 31 years old now. How old is Vivaan now?
- 24.Zoya is 9 years older than Manav. In 10 years, the sum of their ages will be 75. How old is Manav now?
- 25.2 years ago, Sneha’s mother was twice as old as Sneha. The mother is 26 years old now. How old is Sneha now?
- 26.In 26 years, Karan will be three times as old as Karan was 2 years ago. How old is Karan now?
- 27.In 19 years, Saanvi will be twice as old as Saanvi was 5 years ago. How old is Saanvi now?
- 28.8 years ago, Sneha’s mother was twice as old as Sneha. The mother is 30 years old now. How old is Sneha now?
- 29.10 years ago, Sneha’s mother was twice as old as Sneha. The mother is 28 years old now. How old is Sneha now?
- 30.10 years ago, Rohan’s mother was twice as old as Rohan. The mother is 34 years old now. How old is Rohan now?
- 31.In 11 years, Sneha will be twice as old as Sneha was 6 years ago. How old is Sneha now?
- 32.In 25 years, Aditya will be twice as old as Aditya was 6 years ago. How old is Aditya now?
- 33.Farhan’s father is twice as old as Farhan. The sum of their ages is 15 years. How old is the father?
- 34.10 years ago, Meera’s mother was three times as old as Meera. The mother is 28 years old now. How old is Meera now?
- 35.In 22 years, Ishaan will be three times as old as Ishaan was 4 years ago. How old is Ishaan now?
- 36.In 23 years, Priya will be three times as old as Priya was 3 years ago. How old is Priya now?
- 37.Rahul is 7 years older than Farhan. In 10 years, the sum of their ages will be 63. How old is Farhan now?
- 38.In 10 years, Tara will be three times as old as Tara was 6 years ago. How old is Tara now?
- 39.Kavya is 2 years older than Farhan. In 3 years, the sum of their ages will be 26. How old is Farhan now?
- 40.Aarav’s father is four times as old as Aarav. The sum of their ages is 25 years. How old is Aarav?
Answer key
- 5
- 25
- 15
- 17
- 12
- 30
- 12
- 11
- 16
- 15
- 18
- 10
- 9
- 10
- 29
- 13
- 11
- 14
- 24
- 16
- 33
- 24
- 10
- 23
- 14
- 16
- 29
- 19
- 19
- 22
- 23
- 37
- 10
- 16
- 17
- 16
- 18
- 14
- 9
- 5
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