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 20 years, Aditya will be three times as old as Aditya was 2 years ago. How old is Aditya now?
- 2.In 10 years, Rahul will be twice as old as Rahul was 5 years ago. How old is Rahul now?
- 3.Diya’s father is five times as old as Diya. The sum of their ages is 78 years. How old is Diya?
- 4.Manav’s father is twice as old as Manav. The sum of their ages is 24 years. How old is Manav?
- 5.2 years ago, Manav’s mother was four times as old as Manav. The mother is 22 years old now. How old is Manav now?
- 6.In 25 years, Aarav will be twice as old as Aarav was 6 years ago. How old is Aarav now?
- 7.Vivaan’s father is twice as old as Vivaan. The sum of their ages is 33 years. How old is Vivaan?
- 8.10 years ago, Isha’s mother was four times as old as Isha. The mother is 46 years old now. How old is Isha now?
- 9.9 years ago, Farhan’s mother was four times as old as Farhan. The mother is 21 years old now. How old is Farhan now?
- 10.9 years ago, Sneha’s mother was four times as old as Sneha. The mother is 33 years old now. How old is Sneha now?
- 11.Priya’s father is twice as old as Priya. The sum of their ages is 39 years. How old is the father?
- 12.In 25 years, Diya will be three times as old as Diya was 3 years ago. How old is Diya now?
- 13.In 25 years, Karan will be twice as old as Karan was 5 years ago. How old is Karan now?
- 14.9 years ago, Kavya’s mother was three times as old as Kavya. The mother is 21 years old now. How old is Kavya now?
- 15.Manav is 7 years older than Nisha. In 7 years, the sum of their ages will be 77. How old is Nisha now?
- 16.Nisha’s father is four times as old as Nisha. The sum of their ages is 50 years. How old is the father?
- 17.10 years ago, Rahul’s mother was twice as old as Rahul. The mother is 22 years old now. How old is Rahul now?
- 18.2 years ago, Karan’s mother was three times as old as Karan. The mother is 29 years old now. How old is Karan now?
- 19.In 16 years, Diya will be twice as old as Diya was 6 years ago. How old is Diya now?
- 20.In 17 years, Manav will be twice as old as Manav was 3 years ago. How old is Manav now?
- 21.Zoya’s father is twice as old as Zoya. The sum of their ages is 39 years. How old is Zoya?
- 22.Aarav is 2 years older than Vivaan. In 5 years, the sum of their ages will be 32. How old is Vivaan now?
- 23.2 years ago, Meera’s mother was twice as old as Meera. The mother is 22 years old now. How old is Meera now?
- 24.Priya’s father is twice as old as Priya. The sum of their ages is 42 years. How old is the father?
- 25.Saanvi is 10 years older than Kabir. In 7 years, the sum of their ages will be 36. How old is Kabir now?
- 26.Rohan is 2 years older than Tara. In 9 years, the sum of their ages will be 38. How old is Tara now?
- 27.8 years ago, Aarav’s mother was three times as old as Aarav. The mother is 26 years old now. How old is Aarav now?
- 28.Nisha is 8 years older than Zoya. In 7 years, the sum of their ages will be 82. How old is Zoya now?
- 29.Kavya is 10 years older than Sneha. In 5 years, the sum of their ages will be 34. How old is Sneha now?
- 30.Aarav’s father is four times as old as Aarav. The sum of their ages is 40 years. How old is the father?
- 31.In 14 years, Aditya will be three times as old as Aditya was 4 years ago. How old is Aditya now?
- 32.Tara’s father is five times as old as Tara. The sum of their ages is 48 years. How old is Tara?
- 33.10 years ago, Sneha’s mother was four times as old as Sneha. The mother is 30 years old now. How old is Sneha now?
- 34.3 years ago, Vivaan’s mother was twice as old as Vivaan. The mother is 9 years old now. How old is Vivaan now?
- 35.Kavya is 10 years older than Karan. In 3 years, the sum of their ages will be 46. How old is Karan now?
- 36.In 9 years, Pooja will be twice as old as Pooja was 4 years ago. How old is Pooja now?
- 37.In 13 years, Vivaan will be twice as old as Vivaan was 5 years ago. How old is Vivaan now?
- 38.Arjun’s father is four times as old as Arjun. The sum of their ages is 35 years. How old is the father?
- 39.Ishaan is 5 years older than Pooja. In 6 years, the sum of their ages will be 39. How old is Pooja now?
- 40.Zoya is 5 years older than Aditya. In 10 years, the sum of their ages will be 73. How old is Aditya now?
Answer key
- 13
- 20
- 13
- 8
- 7
- 37
- 11
- 19
- 12
- 15
- 26
- 17
- 35
- 13
- 28
- 40
- 16
- 11
- 28
- 23
- 13
- 10
- 12
- 28
- 6
- 9
- 14
- 30
- 7
- 32
- 13
- 8
- 15
- 6
- 15
- 17
- 23
- 28
- 11
- 24
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