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.Arjun’s father is four times as old as Arjun. The sum of their ages is 45 years. How old is the father?
- 2.6 years ago, Isha’s mother was twice as old as Isha. The mother is 18 years old now. How old is Isha now?
- 3.Pooja is 9 years older than Dev. In 4 years, the sum of their ages will be 75. How old is Dev now?
- 4.Priya is 8 years older than Pooja. In 10 years, the sum of their ages will be 76. How old is Pooja now?
- 5.Farhan’s father is twice as old as Farhan. The sum of their ages is 18 years. How old is Farhan?
- 6.5 years ago, Kavya’s mother was twice as old as Kavya. The mother is 17 years old now. How old is Kavya now?
- 7.Isha is 9 years older than Zoya. In 7 years, the sum of their ages will be 75. How old is Zoya now?
- 8.Saanvi is 10 years older than Nisha. In 9 years, the sum of their ages will be 54. How old is Nisha now?
- 9.Isha is 8 years older than Kavya. In 6 years, the sum of their ages will be 40. How old is Kavya now?
- 10.In 4 years, Sneha will be twice as old as Sneha was 6 years ago. How old is Sneha now?
- 11.10 years ago, Arjun’s mother was three times as old as Arjun. The mother is 34 years old now. How old is Arjun now?
- 12.In 6 years, Diya will be twice as old as Diya was 3 years ago. How old is Diya now?
- 13.8 years ago, Farhan’s mother was four times as old as Farhan. The mother is 24 years old now. How old is Farhan now?
- 14.7 years ago, Nisha’s mother was twice as old as Nisha. The mother is 15 years old now. How old is Nisha now?
- 15.Nisha’s father is twice as old as Nisha. The sum of their ages is 39 years. How old is Nisha?
- 16.8 years ago, Zoya’s mother was three times as old as Zoya. The mother is 38 years old now. How old is Zoya now?
- 17.In 11 years, Zoya will be twice as old as Zoya was 2 years ago. How old is Zoya now?
- 18.In 8 years, Aditya will be twice as old as Aditya was 6 years ago. How old is Aditya now?
- 19.Ananya is 5 years older than Manav. In 2 years, the sum of their ages will be 47. How old is Manav now?
- 20.Arjun is 2 years older than Sneha. In 5 years, the sum of their ages will be 44. How old is Sneha now?
- 21.Kabir is 10 years older than Rahul. In 4 years, the sum of their ages will be 34. How old is Rahul now?
- 22.Rohan is 9 years older than Meera. In 6 years, the sum of their ages will be 81. How old is Meera now?
- 23.7 years ago, Aditya’s mother was three times as old as Aditya. The mother is 22 years old now. How old is Aditya now?
- 24.In 21 years, Meera will be three times as old as Meera was 5 years ago. How old is Meera now?
- 25.Saanvi is 10 years older than Zoya. In 3 years, the sum of their ages will be 58. How old is Zoya now?
- 26.Vivaan is 10 years older than Ananya. In 6 years, the sum of their ages will be 68. How old is Ananya now?
- 27.Ananya’s father is twice as old as Ananya. The sum of their ages is 33 years. How old is the father?
- 28.Ananya’s father is twice as old as Ananya. The sum of their ages is 42 years. How old is Ananya?
- 29.In 6 years, Aarav will be twice as old as Aarav was 4 years ago. How old is Aarav now?
- 30.10 years ago, Kabir’s mother was twice as old as Kabir. The mother is 32 years old now. How old is Kabir now?
- 31.4 years ago, Zoya’s mother was twice as old as Zoya. The mother is 14 years old now. How old is Zoya now?
- 32.Manav’s father is four times as old as Manav. The sum of their ages is 70 years. How old is Manav?
- 33.7 years ago, Ananya’s mother was twice as old as Ananya. The mother is 25 years old now. How old is Ananya now?
- 34.Zoya is 7 years older than Manav. In 3 years, the sum of their ages will be 43. How old is Manav now?
- 35.Vivaan is 5 years older than Aarav. In 2 years, the sum of their ages will be 57. How old is Aarav now?
- 36.Rahul is 3 years older than Isha. In 5 years, the sum of their ages will be 69. How old is Isha now?
- 37.Meera is 2 years older than Manav. In 7 years, the sum of their ages will be 60. How old is Manav now?
- 38.7 years ago, Priya’s mother was twice as old as Priya. The mother is 13 years old now. How old is Priya now?
- 39.In 15 years, Ananya will be twice as old as Ananya was 5 years ago. How old is Ananya now?
- 40.Rohan is 3 years older than Dev. In 6 years, the sum of their ages will be 49. How old is Dev now?
Answer key
- 36
- 12
- 29
- 24
- 6
- 11
- 26
- 13
- 10
- 16
- 18
- 12
- 12
- 11
- 13
- 18
- 15
- 20
- 19
- 16
- 8
- 30
- 12
- 18
- 21
- 23
- 22
- 14
- 14
- 21
- 9
- 14
- 16
- 15
- 24
- 28
- 22
- 10
- 25
- 17
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