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.Kavya’s father is five times as old as Kavya. The sum of their ages is 66 years. How old is Kavya?
- 2.Manav is 3 years older than Aditya. In 3 years, the sum of their ages will be 43. How old is Aditya now?
- 3.5 years ago, Aarav’s mother was twice as old as Aarav. The mother is 29 years old now. How old is Aarav now?
- 4.Diya’s father is four times as old as Diya. The sum of their ages is 65 years. How old is the father?
- 5.Arjun is 7 years older than Zoya. In 9 years, the sum of their ages will be 61. How old is Zoya now?
- 6.Aditya’s father is four times as old as Aditya. The sum of their ages is 70 years. How old is Aditya?
- 7.Aditya is 8 years older than Zoya. In 2 years, the sum of their ages will be 54. How old is Zoya now?
- 8.In 12 years, Diya will be twice as old as Diya was 3 years ago. How old is Diya now?
- 9.Saanvi is 3 years older than Isha. In 4 years, the sum of their ages will be 55. How old is Isha now?
- 10.Kavya’s father is four times as old as Kavya. The sum of their ages is 40 years. How old is the father?
- 11.Farhan is 4 years older than Tara. In 2 years, the sum of their ages will be 66. How old is Tara now?
- 12.In 10 years, Karan will be three times as old as Karan was 6 years ago. How old is Karan now?
- 13.Arjun’s father is four times as old as Arjun. The sum of their ages is 50 years. How old is the father?
- 14.In 13 years, Isha will be three times as old as Isha was 3 years ago. How old is Isha now?
- 15.In 17 years, Kabir will be three times as old as Kabir was 3 years ago. How old is Kabir now?
- 16.10 years ago, Nisha’s mother was twice as old as Nisha. The mother is 24 years old now. How old is Nisha now?
- 17.Meera is 2 years older than Aarav. In 10 years, the sum of their ages will be 58. How old is Aarav now?
- 18.4 years ago, Vivaan’s mother was twice as old as Vivaan. The mother is 24 years old now. How old is Vivaan now?
- 19.Pooja’s father is three times as old as Pooja. The sum of their ages is 40 years. How old is the father?
- 20.Manav’s father is twice as old as Manav. The sum of their ages is 27 years. How old is the father?
- 21.7 years ago, Arjun’s mother was three times as old as Arjun. The mother is 16 years old now. How old is Arjun now?
- 22.Aditya is 6 years older than Nisha. In 4 years, the sum of their ages will be 34. How old is Nisha now?
- 23.In 10 years, Vivaan will be three times as old as Vivaan was 2 years ago. How old is Vivaan now?
- 24.4 years ago, Ishaan’s mother was four times as old as Ishaan. The mother is 40 years old now. How old is Ishaan now?
- 25.Arjun’s father is four times as old as Arjun. The sum of their ages is 30 years. How old is the father?
- 26.Tara’s father is twice as old as Tara. The sum of their ages is 39 years. How old is the father?
- 27.Kavya is 7 years older than Diya. In 4 years, the sum of their ages will be 25. How old is Diya now?
- 28.8 years ago, Arjun’s mother was twice as old as Arjun. The mother is 22 years old now. How old is Arjun now?
- 29.4 years ago, Kabir’s mother was four times as old as Kabir. The mother is 40 years old now. How old is Kabir now?
- 30.In 5 years, Rahul will be twice as old as Rahul was 5 years ago. How old is Rahul now?
- 31.Kabir’s father is three times as old as Kabir. The sum of their ages is 32 years. How old is Kabir?
- 32.3 years ago, Manav’s mother was three times as old as Manav. The mother is 39 years old now. How old is Manav now?
- 33.8 years ago, Pooja’s mother was four times as old as Pooja. The mother is 28 years old now. How old is Pooja now?
- 34.In 24 years, Tara will be twice as old as Tara was 3 years ago. How old is Tara now?
- 35.2 years ago, Karan’s mother was twice as old as Karan. The mother is 24 years old now. How old is Karan now?
- 36.8 years ago, Priya’s mother was four times as old as Priya. The mother is 24 years old now. How old is Priya now?
- 37.Sneha is 7 years older than Farhan. In 9 years, the sum of their ages will be 55. How old is Farhan now?
- 38.Ishaan is 5 years older than Farhan. In 7 years, the sum of their ages will be 65. How old is Farhan now?
- 39.In 16 years, Priya will be three times as old as Priya was 2 years ago. How old is Priya now?
- 40.10 years ago, Farhan’s mother was twice as old as Farhan. The mother is 26 years old now. How old is Farhan now?
Answer key
- 11
- 17
- 17
- 52
- 18
- 14
- 21
- 18
- 22
- 32
- 29
- 14
- 40
- 11
- 13
- 17
- 18
- 14
- 30
- 18
- 10
- 10
- 8
- 13
- 24
- 26
- 5
- 15
- 13
- 15
- 8
- 15
- 13
- 30
- 13
- 12
- 15
- 23
- 11
- 18
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