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.Nisha’s father is twice as old as Nisha. The sum of their ages is 36 years. How old is Nisha?
- 2.Farhan is 7 years older than Aarav. In 3 years, the sum of their ages will be 33. How old is Aarav now?
- 3.9 years ago, Arjun’s mother was three times as old as Arjun. The mother is 27 years old now. How old is Arjun now?
- 4.Vivaan is 2 years older than Saanvi. In 2 years, the sum of their ages will be 46. How old is Saanvi now?
- 5.Kavya’s father is twice as old as Kavya. The sum of their ages is 24 years. How old is Kavya?
- 6.In 5 years, Vivaan will be twice as old as Vivaan was 5 years ago. How old is Vivaan now?
- 7.In 26 years, Kabir will be three times as old as Kabir was 2 years ago. How old is Kabir now?
- 8.Aditya is 5 years older than Farhan. In 5 years, the sum of their ages will be 67. How old is Farhan now?
- 9.Priya is 9 years older than Saanvi. In 5 years, the sum of their ages will be 31. How old is Saanvi now?
- 10.Arjun is 9 years older than Nisha. In 3 years, the sum of their ages will be 33. How old is Nisha now?
- 11.In 23 years, Kavya will be twice as old as Kavya was 6 years ago. How old is Kavya now?
- 12.Isha’s father is five times as old as Isha. The sum of their ages is 30 years. How old is Isha?
- 13.In 17 years, Rohan will be twice as old as Rohan was 3 years ago. How old is Rohan now?
- 14.Pooja’s father is twice as old as Pooja. The sum of their ages is 30 years. How old is the father?
- 15.In 26 years, Karan will be twice as old as Karan was 6 years ago. How old is Karan now?
- 16.Rohan’s father is three times as old as Rohan. The sum of their ages is 44 years. How old is the father?
- 17.Karan’s father is four times as old as Karan. The sum of their ages is 45 years. How old is the father?
- 18.Pooja’s father is twice as old as Pooja. The sum of their ages is 18 years. How old is Pooja?
- 19.In 12 years, Karan will be twice as old as Karan was 3 years ago. How old is Karan now?
- 20.3 years ago, Diya’s mother was four times as old as Diya. The mother is 47 years old now. How old is Diya now?
- 21.Zoya’s father is five times as old as Zoya. The sum of their ages is 78 years. How old is the father?
- 22.Nisha’s father is five times as old as Nisha. The sum of their ages is 84 years. How old is the father?
- 23.3 years ago, Isha’s mother was twice as old as Isha. The mother is 25 years old now. How old is Isha now?
- 24.Kavya’s father is four times as old as Kavya. The sum of their ages is 45 years. How old is Kavya?
- 25.Aarav’s father is twice as old as Aarav. The sum of their ages is 27 years. How old is the father?
- 26.2 years ago, Aarav’s mother was three times as old as Aarav. The mother is 11 years old now. How old is Aarav now?
- 27.Kavya’s father is three times as old as Kavya. The sum of their ages is 36 years. How old is Kavya?
- 28.Zoya is 9 years older than Kabir. In 2 years, the sum of their ages will be 53. How old is Kabir now?
- 29.Zoya is 4 years older than Saanvi. In 2 years, the sum of their ages will be 44. How old is Saanvi now?
- 30.8 years ago, Kabir’s mother was three times as old as Kabir. The mother is 17 years old now. How old is Kabir now?
- 31.Dev is 7 years older than Manav. In 8 years, the sum of their ages will be 79. How old is Manav now?
- 32.Kabir’s father is three times as old as Kabir. The sum of their ages is 40 years. How old is the father?
- 33.In 23 years, Arjun will be three times as old as Arjun was 5 years ago. How old is Arjun now?
- 34.2 years ago, Ananya’s mother was four times as old as Ananya. The mother is 46 years old now. How old is Ananya now?
- 35.Farhan’s father is twice as old as Farhan. The sum of their ages is 36 years. How old is Farhan?
- 36.Ananya is 10 years older than Farhan. In 3 years, the sum of their ages will be 76. How old is Farhan now?
- 37.In 6 years, Diya will be twice as old as Diya was 6 years ago. How old is Diya now?
- 38.Saanvi’s father is twice as old as Saanvi. The sum of their ages is 21 years. How old is Saanvi?
- 39.Ishaan’s father is twice as old as Ishaan. The sum of their ages is 39 years. How old is Ishaan?
- 40.Diya’s father is five times as old as Diya. The sum of their ages is 54 years. How old is the father?
Answer key
- 12
- 10
- 15
- 20
- 8
- 15
- 16
- 26
- 6
- 9
- 35
- 5
- 23
- 20
- 38
- 33
- 36
- 6
- 18
- 14
- 65
- 70
- 14
- 9
- 18
- 5
- 9
- 20
- 18
- 11
- 28
- 30
- 19
- 13
- 12
- 30
- 18
- 7
- 13
- 45
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