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.Meera is 2 years older than Arjun. In 7 years, the sum of their ages will be 74. How old is Arjun now?
- 2.In 21 years, Diya will be twice as old as Diya was 2 years ago. How old is Diya now?
- 3.9 years ago, Ananya’s mother was three times as old as Ananya. The mother is 24 years old now. How old is Ananya now?
- 4.In 23 years, Manav will be three times as old as Manav was 3 years ago. How old is Manav now?
- 5.In 12 years, Manav will be three times as old as Manav was 2 years ago. How old is Manav now?
- 6.4 years ago, Nisha’s mother was three times as old as Nisha. The mother is 40 years old now. How old is Nisha now?
- 7.Ishaan’s father is three times as old as Ishaan. The sum of their ages is 36 years. How old is the father?
- 8.Isha is 5 years older than Meera. In 3 years, the sum of their ages will be 31. How old is Meera now?
- 9.Priya is 4 years older than Tara. In 7 years, the sum of their ages will be 76. How old is Tara now?
- 10.Kabir’s father is twice as old as Kabir. The sum of their ages is 45 years. How old is Kabir?
- 11.Ishaan’s father is three times as old as Ishaan. The sum of their ages is 40 years. How old is the father?
- 12.Pooja is 7 years older than Nisha. In 3 years, the sum of their ages will be 39. How old is Nisha now?
- 13.8 years ago, Aarav’s mother was twice as old as Aarav. The mother is 18 years old now. How old is Aarav now?
- 14.Diya is 5 years older than Nisha. In 6 years, the sum of their ages will be 27. How old is Nisha now?
- 15.8 years ago, Kavya’s mother was three times as old as Kavya. The mother is 38 years old now. How old is Kavya now?
- 16.In 29 years, Aditya will be three times as old as Aditya was 3 years ago. How old is Aditya now?
- 17.Diya is 5 years older than Dev. In 4 years, the sum of their ages will be 37. How old is Dev now?
- 18.Diya’s father is three times as old as Diya. The sum of their ages is 32 years. How old is the father?
- 19.4 years ago, Rohan’s mother was three times as old as Rohan. The mother is 19 years old now. How old is Rohan now?
- 20.In 11 years, Nisha will be twice as old as Nisha was 2 years ago. How old is Nisha now?
- 21.In 30 years, Kabir will be three times as old as Kabir was 4 years ago. How old is Kabir now?
- 22.4 years ago, Aditya’s mother was three times as old as Aditya. The mother is 28 years old now. How old is Aditya now?
- 23.Ananya’s father is five times as old as Ananya. The sum of their ages is 42 years. How old is the father?
- 24.Isha is 7 years older than Kabir. In 3 years, the sum of their ages will be 59. How old is Kabir now?
- 25.5 years ago, Rohan’s mother was four times as old as Rohan. The mother is 53 years old now. How old is Rohan now?
- 26.Kabir is 8 years older than Aarav. In 4 years, the sum of their ages will be 68. How old is Aarav now?
- 27.Manav’s father is five times as old as Manav. The sum of their ages is 60 years. How old is Manav?
- 28.Manav is 4 years older than Saanvi. In 7 years, the sum of their ages will be 54. How old is Saanvi now?
- 29.Pooja’s father is four times as old as Pooja. The sum of their ages is 30 years. How old is Pooja?
- 30.Farhan is 3 years older than Saanvi. In 10 years, the sum of their ages will be 71. How old is Saanvi now?
- 31.In 15 years, Saanvi will be three times as old as Saanvi was 3 years ago. How old is Saanvi now?
- 32.Kabir’s father is three times as old as Kabir. The sum of their ages is 48 years. How old is the father?
- 33.Tara is 6 years older than Meera. In 4 years, the sum of their ages will be 64. How old is Meera now?
- 34.Farhan’s father is five times as old as Farhan. The sum of their ages is 36 years. How old is the father?
- 35.Kavya’s father is four times as old as Kavya. The sum of their ages is 35 years. How old is Kavya?
- 36.Kavya’s father is twice as old as Kavya. The sum of their ages is 30 years. How old is the father?
- 37.In 8 years, Manav will be twice as old as Manav was 2 years ago. How old is Manav now?
- 38.In 11 years, Arjun will be twice as old as Arjun was 2 years ago. How old is Arjun now?
- 39.In 9 years, Rohan will be twice as old as Rohan was 6 years ago. How old is Rohan now?
- 40.8 years ago, Ananya’s mother was twice as old as Ananya. The mother is 22 years old now. How old is Ananya now?
Answer key
- 29
- 25
- 14
- 16
- 9
- 16
- 27
- 10
- 29
- 15
- 30
- 13
- 13
- 5
- 18
- 19
- 12
- 24
- 9
- 15
- 21
- 12
- 35
- 23
- 17
- 26
- 10
- 18
- 6
- 24
- 12
- 36
- 25
- 30
- 7
- 20
- 12
- 15
- 21
- 15
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