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.Priya is 5 years older than Vivaan. In 8 years, the sum of their ages will be 75. How old is Vivaan now?
- 2.Karan’s father is five times as old as Karan. The sum of their ages is 78 years. How old is Karan?
- 3.Vivaan’s father is four times as old as Vivaan. The sum of their ages is 55 years. How old is the father?
- 4.3 years ago, Priya’s mother was twice as old as Priya. The mother is 21 years old now. How old is Priya now?
- 5.Tara is 4 years older than Arjun. In 4 years, the sum of their ages will be 28. How old is Arjun now?
- 6.In 19 years, Rahul will be twice as old as Rahul was 4 years ago. How old is Rahul now?
- 7.5 years ago, Nisha’s mother was four times as old as Nisha. The mother is 53 years old now. How old is Nisha now?
- 8.8 years ago, Manav’s mother was twice as old as Manav. The mother is 18 years old now. How old is Manav now?
- 9.Meera’s father is twice as old as Meera. The sum of their ages is 18 years. How old is the father?
- 10.Karan is 7 years older than Arjun. In 10 years, the sum of their ages will be 61. How old is Arjun now?
- 11.Karan’s father is four times as old as Karan. The sum of their ages is 55 years. How old is Karan?
- 12.3 years ago, Pooja’s mother was three times as old as Pooja. The mother is 18 years old now. How old is Pooja now?
- 13.8 years ago, Nisha’s mother was three times as old as Nisha. The mother is 35 years old now. How old is Nisha now?
- 14.Meera is 4 years older than Priya. In 9 years, the sum of their ages will be 40. How old is Priya now?
- 15.In 29 years, Zoya will be three times as old as Zoya was 5 years ago. How old is Zoya now?
- 16.In 26 years, Farhan will be twice as old as Farhan was 2 years ago. How old is Farhan now?
- 17.Kabir is 8 years older than Kavya. In 9 years, the sum of their ages will be 56. How old is Kavya now?
- 18.Farhan’s father is three times as old as Farhan. The sum of their ages is 24 years. How old is the father?
- 19.In 24 years, Kabir will be three times as old as Kabir was 2 years ago. How old is Kabir now?
- 20.In 24 years, Rohan will be twice as old as Rohan was 3 years ago. How old is Rohan now?
- 21.3 years ago, Kabir’s mother was three times as old as Kabir. The mother is 36 years old now. How old is Kabir now?
- 22.In 28 years, Tara will be twice as old as Tara was 5 years ago. How old is Tara now?
- 23.Farhan’s father is five times as old as Farhan. The sum of their ages is 54 years. How old is the father?
- 24.5 years ago, Rohan’s mother was three times as old as Rohan. The mother is 41 years old now. How old is Rohan now?
- 25.Sneha is 9 years older than Meera. In 3 years, the sum of their ages will be 39. How old is Meera now?
- 26.Manav’s father is four times as old as Manav. The sum of their ages is 75 years. How old is the father?
- 27.Dev’s father is twice as old as Dev. The sum of their ages is 18 years. How old is Dev?
- 28.Manav is 3 years older than Kavya. In 10 years, the sum of their ages will be 41. How old is Kavya now?
- 29.In 28 years, Isha will be twice as old as Isha was 6 years ago. How old is Isha now?
- 30.4 years ago, Sneha’s mother was three times as old as Sneha. The mother is 22 years old now. How old is Sneha now?
- 31.Isha is 7 years older than Tara. In 5 years, the sum of their ages will be 47. How old is Tara now?
- 32.Rahul is 7 years older than Isha. In 9 years, the sum of their ages will be 85. How old is Isha now?
- 33.In 27 years, Priya will be three times as old as Priya was 3 years ago. How old is Priya now?
- 34.In 4 years, Arjun will be twice as old as Arjun was 6 years ago. How old is Arjun now?
- 35.Zoya’s father is twice as old as Zoya. The sum of their ages is 24 years. How old is Zoya?
- 36.Kavya is 3 years older than Ananya. In 3 years, the sum of their ages will be 67. How old is Ananya now?
- 37.Meera’s father is four times as old as Meera. The sum of their ages is 40 years. How old is Meera?
- 38.Kavya’s father is twice as old as Kavya. The sum of their ages is 42 years. How old is the father?
- 39.Diya’s father is twice as old as Diya. The sum of their ages is 30 years. How old is Diya?
- 40.Tara’s father is three times as old as Tara. The sum of their ages is 20 years. How old is Tara?
Answer key
- 27
- 13
- 44
- 12
- 8
- 27
- 17
- 13
- 12
- 17
- 11
- 8
- 17
- 9
- 22
- 30
- 15
- 18
- 15
- 30
- 14
- 38
- 45
- 17
- 12
- 60
- 6
- 9
- 40
- 10
- 15
- 30
- 18
- 16
- 8
- 29
- 8
- 28
- 10
- 5
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