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.Saanvi’s father is three times as old as Saanvi. The sum of their ages is 60 years. How old is the father?
- 2.2 years ago, Diya’s mother was three times as old as Diya. The mother is 38 years old now. How old is Diya now?
- 3.Dev is 2 years older than Aarav. In 3 years, the sum of their ages will be 68. How old is Aarav now?
- 4.In 24 years, Pooja will be twice as old as Pooja was 2 years ago. How old is Pooja now?
- 5.In 24 years, Saanvi will be twice as old as Saanvi was 4 years ago. How old is Saanvi now?
- 6.7 years ago, Kavya’s mother was twice as old as Kavya. The mother is 19 years old now. How old is Kavya now?
- 7.Kavya’s father is five times as old as Kavya. The sum of their ages is 90 years. How old is the father?
- 8.Pooja is 7 years older than Priya. In 4 years, the sum of their ages will be 53. How old is Priya now?
- 9.In 9 years, Nisha will be twice as old as Nisha was 4 years ago. How old is Nisha now?
- 10.Nisha is 5 years older than Priya. In 10 years, the sum of their ages will be 63. How old is Priya now?
- 11.Rohan’s father is three times as old as Rohan. The sum of their ages is 52 years. How old is Rohan?
- 12.In 8 years, Vivaan will be twice as old as Vivaan was 6 years ago. How old is Vivaan now?
- 13.In 17 years, Isha will be three times as old as Isha was 3 years ago. How old is Isha now?
- 14.3 years ago, Pooja’s mother was twice as old as Pooja. The mother is 11 years old now. How old is Pooja now?
- 15.Farhan’s father is three times as old as Farhan. The sum of their ages is 52 years. How old is the father?
- 16.Meera’s father is four times as old as Meera. The sum of their ages is 30 years. How old is the father?
- 17.In 13 years, Nisha will be three times as old as Nisha was 3 years ago. How old is Nisha now?
- 18.Isha’s father is three times as old as Isha. The sum of their ages is 32 years. How old is Isha?
- 19.3 years ago, Arjun’s mother was twice as old as Arjun. The mother is 11 years old now. How old is Arjun now?
- 20.Tara’s father is three times as old as Tara. The sum of their ages is 44 years. How old is the father?
- 21.8 years ago, Vivaan’s mother was twice as old as Vivaan. The mother is 20 years old now. How old is Vivaan now?
- 22.Rohan is 8 years older than Saanvi. In 8 years, the sum of their ages will be 74. How old is Saanvi now?
- 23.Arjun is 3 years older than Vivaan. In 10 years, the sum of their ages will be 59. How old is Vivaan now?
- 24.2 years ago, Arjun’s mother was twice as old as Arjun. The mother is 20 years old now. How old is Arjun now?
- 25.Kabir is 2 years older than Tara. In 9 years, the sum of their ages will be 38. How old is Tara now?
- 26.Isha’s father is twice as old as Isha. The sum of their ages is 27 years. How old is the father?
- 27.Diya is 5 years older than Tara. In 3 years, the sum of their ages will be 27. How old is Tara now?
- 28.In 3 years, Isha will be twice as old as Isha was 3 years ago. How old is Isha now?
- 29.10 years ago, Priya’s mother was three times as old as Priya. The mother is 43 years old now. How old is Priya now?
- 30.Pooja’s father is twice as old as Pooja. The sum of their ages is 21 years. How old is the father?
- 31.Rohan’s father is three times as old as Rohan. The sum of their ages is 44 years. How old is the father?
- 32.Kavya’s father is twice as old as Kavya. The sum of their ages is 15 years. How old is the father?
- 33.Ananya’s father is three times as old as Ananya. The sum of their ages is 44 years. How old is Ananya?
- 34.Rahul is 2 years older than Tara. In 6 years, the sum of their ages will be 26. How old is Tara now?
- 35.Arjun is 10 years older than Diya. In 4 years, the sum of their ages will be 56. How old is Diya now?
- 36.Rahul is 6 years older than Nisha. In 6 years, the sum of their ages will be 78. How old is Nisha now?
- 37.7 years ago, Aditya’s mother was three times as old as Aditya. The mother is 28 years old now. How old is Aditya now?
- 38.Dev’s father is four times as old as Dev. The sum of their ages is 70 years. How old is the father?
- 39.Farhan’s father is twice as old as Farhan. The sum of their ages is 33 years. How old is Farhan?
- 40.Priya’s father is three times as old as Priya. The sum of their ages is 24 years. How old is Priya?
Answer key
- 45
- 14
- 30
- 28
- 32
- 13
- 75
- 19
- 17
- 19
- 13
- 20
- 13
- 7
- 39
- 24
- 11
- 8
- 7
- 33
- 14
- 25
- 18
- 11
- 9
- 18
- 8
- 9
- 21
- 14
- 33
- 10
- 11
- 6
- 19
- 30
- 14
- 56
- 11
- 6
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