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.Pooja is 3 years older than Tara. In 3 years, the sum of their ages will be 21. How old is Tara now?
- 2.In 30 years, Diya will be twice as old as Diya was 5 years ago. How old is Diya now?
- 3.In 14 years, Farhan will be three times as old as Farhan was 6 years ago. How old is Farhan now?
- 4.3 years ago, Dev’s mother was three times as old as Dev. The mother is 33 years old now. How old is Dev now?
- 5.2 years ago, Arjun’s mother was four times as old as Arjun. The mother is 14 years old now. How old is Arjun now?
- 6.In 10 years, Ananya will be three times as old as Ananya was 4 years ago. How old is Ananya now?
- 7.Rahul is 8 years older than Tara. In 3 years, the sum of their ages will be 30. How old is Tara now?
- 8.Ananya’s father is twice as old as Ananya. The sum of their ages is 42 years. How old is Ananya?
- 9.8 years ago, Nisha’s mother was four times as old as Nisha. The mother is 28 years old now. How old is Nisha now?
- 10.3 years ago, Dev’s mother was three times as old as Dev. The mother is 12 years old now. How old is Dev now?
- 11.8 years ago, Ananya’s mother was four times as old as Ananya. The mother is 20 years old now. How old is Ananya now?
- 12.In 12 years, Manav will be twice as old as Manav was 3 years ago. How old is Manav now?
- 13.Nisha is 10 years older than Aditya. In 3 years, the sum of their ages will be 48. How old is Aditya now?
- 14.In 15 years, Ananya will be twice as old as Ananya was 3 years ago. How old is Ananya now?
- 15.In 22 years, Farhan will be three times as old as Farhan was 4 years ago. How old is Farhan now?
- 16.Diya’s father is four times as old as Diya. The sum of their ages is 35 years. How old is Diya?
- 17.Aarav’s father is four times as old as Aarav. The sum of their ages is 40 years. How old is the father?
- 18.Manav’s father is five times as old as Manav. The sum of their ages is 84 years. How old is the father?
- 19.In 25 years, Ishaan will be twice as old as Ishaan was 5 years ago. How old is Ishaan now?
- 20.In 11 years, Dev will be twice as old as Dev was 4 years ago. How old is Dev now?
- 21.Karan’s father is twice as old as Karan. The sum of their ages is 15 years. How old is Karan?
- 22.Kabir’s father is four times as old as Kabir. The sum of their ages is 70 years. How old is the father?
- 23.In 30 years, Farhan will be three times as old as Farhan was 6 years ago. How old is Farhan now?
- 24.Kavya’s father is twice as old as Kavya. The sum of their ages is 15 years. How old is the father?
- 25.Nisha is 10 years older than Farhan. In 7 years, the sum of their ages will be 76. How old is Farhan now?
- 26.Zoya’s father is five times as old as Zoya. The sum of their ages is 36 years. How old is the father?
- 27.Karan is 9 years older than Meera. In 10 years, the sum of their ages will be 53. How old is Meera now?
- 28.Aarav’s father is twice as old as Aarav. The sum of their ages is 24 years. How old is Aarav?
- 29.Zoya is 5 years older than Farhan. In 9 years, the sum of their ages will be 39. How old is Farhan now?
- 30.2 years ago, Rohan’s mother was three times as old as Rohan. The mother is 17 years old now. How old is Rohan now?
- 31.Vivaan is 9 years older than Arjun. In 9 years, the sum of their ages will be 47. How old is Arjun now?
- 32.Priya is 4 years older than Aditya. In 3 years, the sum of their ages will be 70. How old is Aditya now?
- 33.Dev is 7 years older than Farhan. In 9 years, the sum of their ages will be 61. How old is Farhan now?
- 34.Kabir is 4 years older than Kavya. In 2 years, the sum of their ages will be 60. How old is Kavya now?
- 35.Meera is 6 years older than Isha. In 10 years, the sum of their ages will be 74. How old is Isha now?
- 36.5 years ago, Karan’s mother was twice as old as Karan. The mother is 27 years old now. How old is Karan now?
- 37.Meera is 10 years older than Diya. In 8 years, the sum of their ages will be 60. How old is Diya now?
- 38.Rohan’s father is four times as old as Rohan. The sum of their ages is 70 years. How old is the father?
- 39.3 years ago, Saanvi’s mother was three times as old as Saanvi. The mother is 33 years old now. How old is Saanvi now?
- 40.In 4 years, Pooja will be twice as old as Pooja was 2 years ago. How old is Pooja now?
Answer key
- 6
- 40
- 16
- 13
- 5
- 11
- 8
- 14
- 13
- 6
- 11
- 18
- 16
- 21
- 17
- 7
- 32
- 70
- 35
- 19
- 5
- 56
- 24
- 10
- 26
- 30
- 12
- 8
- 8
- 7
- 10
- 30
- 18
- 26
- 24
- 16
- 17
- 56
- 13
- 8
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