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.Aarav’s father is four times as old as Aarav. The sum of their ages is 60 years. How old is Aarav?
- 2.In 7 years, Kabir will be twice as old as Kabir was 5 years ago. How old is Kabir now?
- 3.7 years ago, Pooja’s mother was four times as old as Pooja. The mother is 47 years old now. How old is Pooja now?
- 4.Meera’s father is twice as old as Meera. The sum of their ages is 30 years. How old is the father?
- 5.Nisha’s father is three times as old as Nisha. The sum of their ages is 60 years. How old is the father?
- 6.Saanvi’s father is three times as old as Saanvi. The sum of their ages is 20 years. How old is the father?
- 7.Ananya’s father is three times as old as Ananya. The sum of their ages is 20 years. How old is the father?
- 8.Arjun’s father is twice as old as Arjun. The sum of their ages is 27 years. How old is Arjun?
- 9.8 years ago, Saanvi’s mother was twice as old as Saanvi. The mother is 18 years old now. How old is Saanvi now?
- 10.Tara is 3 years older than Farhan. In 2 years, the sum of their ages will be 51. How old is Farhan now?
- 11.Isha is 6 years older than Karan. In 10 years, the sum of their ages will be 48. How old is Karan now?
- 12.In 11 years, Karan will be twice as old as Karan was 5 years ago. How old is Karan now?
- 13.4 years ago, Nisha’s mother was twice as old as Nisha. The mother is 24 years old now. How old is Nisha now?
- 14.Isha is 7 years older than Ananya. In 7 years, the sum of their ages will be 57. How old is Ananya now?
- 15.In 20 years, Karan will be twice as old as Karan was 3 years ago. How old is Karan now?
- 16.Diya’s father is five times as old as Diya. The sum of their ages is 42 years. How old is Diya?
- 17.In 25 years, Aarav will be twice as old as Aarav was 6 years ago. How old is Aarav now?
- 18.In 19 years, Vivaan will be twice as old as Vivaan was 2 years ago. How old is Vivaan now?
- 19.In 8 years, Rohan will be twice as old as Rohan was 5 years ago. How old is Rohan now?
- 20.Meera’s father is twice as old as Meera. The sum of their ages is 36 years. How old is Meera?
- 21.In 7 years, Diya will be twice as old as Diya was 3 years ago. How old is Diya now?
- 22.In 11 years, Kabir will be three times as old as Kabir was 5 years ago. How old is Kabir now?
- 23.Manav is 8 years older than Nisha. In 7 years, the sum of their ages will be 76. How old is Nisha now?
- 24.Kabir’s father is five times as old as Kabir. The sum of their ages is 66 years. How old is the father?
- 25.Sneha is 4 years older than Nisha. In 4 years, the sum of their ages will be 26. How old is Nisha now?
- 26.4 years ago, Meera’s mother was four times as old as Meera. The mother is 16 years old now. How old is Meera now?
- 27.In 26 years, Saanvi will be twice as old as Saanvi was 6 years ago. How old is Saanvi now?
- 28.In 14 years, Arjun will be twice as old as Arjun was 4 years ago. How old is Arjun now?
- 29.Kabir is 3 years older than Priya. In 3 years, the sum of their ages will be 47. How old is Priya now?
- 30.Aarav is 9 years older than Arjun. In 9 years, the sum of their ages will be 87. How old is Arjun now?
- 31.6 years ago, Farhan’s mother was three times as old as Farhan. The mother is 33 years old now. How old is Farhan now?
- 32.Dev’s father is three times as old as Dev. The sum of their ages is 24 years. How old is the father?
- 33.In 26 years, Rohan will be twice as old as Rohan was 6 years ago. How old is Rohan now?
- 34.Priya’s father is four times as old as Priya. The sum of their ages is 40 years. How old is Priya?
- 35.Aarav is 9 years older than Saanvi. In 10 years, the sum of their ages will be 71. How old is Saanvi now?
- 36.6 years ago, Nisha’s mother was twice as old as Nisha. The mother is 28 years old now. How old is Nisha now?
- 37.In 8 years, Vivaan will be twice as old as Vivaan was 6 years ago. How old is Vivaan now?
- 38.Diya is 3 years older than Manav. In 2 years, the sum of their ages will be 25. How old is Manav now?
- 39.Ananya’s father is four times as old as Ananya. The sum of their ages is 30 years. How old is the father?
- 40.Rohan’s father is four times as old as Rohan. The sum of their ages is 45 years. How old is Rohan?
Answer key
- 12
- 17
- 17
- 20
- 45
- 15
- 15
- 9
- 13
- 22
- 11
- 21
- 14
- 18
- 26
- 7
- 37
- 23
- 18
- 12
- 13
- 13
- 27
- 55
- 7
- 7
- 38
- 22
- 19
- 30
- 15
- 18
- 38
- 8
- 21
- 17
- 20
- 9
- 24
- 9
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