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.Zoya’s father is three times as old as Zoya. The sum of their ages is 32 years. How old is Zoya?
- 2.Meera is 10 years older than Diya. In 2 years, the sum of their ages will be 56. How old is Diya now?
- 3.6 years ago, Kabir’s mother was twice as old as Kabir. The mother is 22 years old now. How old is Kabir now?
- 4.Aarav is 10 years older than Saanvi. In 10 years, the sum of their ages will be 54. How old is Saanvi now?
- 5.In 26 years, Zoya will be twice as old as Zoya was 4 years ago. How old is Zoya now?
- 6.Ishaan’s father is three times as old as Ishaan. The sum of their ages is 40 years. How old is the father?
- 7.Kavya’s father is five times as old as Kavya. The sum of their ages is 78 years. How old is the father?
- 8.Kavya’s father is five times as old as Kavya. The sum of their ages is 30 years. How old is the father?
- 9.9 years ago, Zoya’s mother was four times as old as Zoya. The mother is 45 years old now. How old is Zoya now?
- 10.In 20 years, Diya will be twice as old as Diya was 4 years ago. How old is Diya now?
- 11.2 years ago, Karan’s mother was three times as old as Karan. The mother is 35 years old now. How old is Karan now?
- 12.Aarav is 2 years older than Zoya. In 5 years, the sum of their ages will be 60. How old is Zoya now?
- 13.Aditya is 6 years older than Isha. In 6 years, the sum of their ages will be 58. How old is Isha now?
- 14.Nisha is 9 years older than Ananya. In 2 years, the sum of their ages will be 47. How old is Ananya now?
- 15.In 21 years, Rahul will be twice as old as Rahul was 4 years ago. How old is Rahul now?
- 16.9 years ago, Rahul’s mother was three times as old as Rahul. The mother is 21 years old now. How old is Rahul now?
- 17.Rahul is 4 years older than Dev. In 2 years, the sum of their ages will be 64. How old is Dev now?
- 18.7 years ago, Ananya’s mother was three times as old as Ananya. The mother is 19 years old now. How old is Ananya now?
- 19.In 5 years, Rahul will be twice as old as Rahul was 6 years ago. How old is Rahul now?
- 20.Kabir is 2 years older than Sneha. In 8 years, the sum of their ages will be 44. How old is Sneha now?
- 21.In 12 years, Meera will be twice as old as Meera was 3 years ago. How old is Meera now?
- 22.Priya’s father is four times as old as Priya. The sum of their ages is 40 years. How old is the father?
- 23.Meera’s father is twice as old as Meera. The sum of their ages is 33 years. How old is Meera?
- 24.In 5 years, Rohan will be three times as old as Rohan was 5 years ago. How old is Rohan now?
- 25.8 years ago, Meera’s mother was four times as old as Meera. The mother is 24 years old now. How old is Meera now?
- 26.Kavya is 7 years older than Aditya. In 6 years, the sum of their ages will be 61. How old is Aditya now?
- 27.4 years ago, Ananya’s mother was three times as old as Ananya. The mother is 22 years old now. How old is Ananya now?
- 28.Saanvi is 5 years older than Karan. In 5 years, the sum of their ages will be 53. How old is Karan now?
- 29.Kabir’s father is twice as old as Kabir. The sum of their ages is 15 years. How old is the father?
- 30.3 years ago, Sneha’s mother was three times as old as Sneha. The mother is 39 years old now. How old is Sneha now?
- 31.4 years ago, Farhan’s mother was three times as old as Farhan. The mother is 28 years old now. How old is Farhan now?
- 32.Farhan is 9 years older than Ishaan. In 2 years, the sum of their ages will be 65. How old is Ishaan now?
- 33.In 7 years, Isha will be twice as old as Isha was 6 years ago. How old is Isha now?
- 34.4 years ago, Vivaan’s mother was four times as old as Vivaan. The mother is 20 years old now. How old is Vivaan now?
- 35.8 years ago, Ishaan’s mother was twice as old as Ishaan. The mother is 24 years old now. How old is Ishaan now?
- 36.In 7 years, Ishaan will be three times as old as Ishaan was 5 years ago. How old is Ishaan now?
- 37.In 9 years, Aarav will be twice as old as Aarav was 2 years ago. How old is Aarav now?
- 38.Rohan is 5 years older than Aarav. In 10 years, the sum of their ages will be 63. How old is Aarav now?
- 39.Vivaan’s father is twice as old as Vivaan. The sum of their ages is 18 years. How old is Vivaan?
- 40.Tara is 6 years older than Ananya. In 9 years, the sum of their ages will be 74. How old is Ananya now?
Answer key
- 8
- 21
- 14
- 12
- 34
- 30
- 65
- 25
- 18
- 28
- 13
- 24
- 20
- 17
- 29
- 13
- 28
- 11
- 17
- 13
- 18
- 32
- 11
- 10
- 12
- 21
- 10
- 19
- 10
- 15
- 12
- 26
- 19
- 8
- 16
- 11
- 13
- 19
- 6
- 25
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