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
- 1.2 years ago, Priya’s mother was three times as old as Priya. The mother is 14 years old now. How old is Priya now?
- 2.Karan’s father is four times as old as Karan. The sum of their ages is 40 years. How old is Karan?
- 3.Isha’s father is three times as old as Isha. The sum of their ages is 20 years. How old is the father?
- 4.Tara’s father is four times as old as Tara. The sum of their ages is 30 years. How old is Tara?
- 5.Aarav’s father is four times as old as Aarav. The sum of their ages is 35 years. How old is the father?
- 6.10 years ago, Priya’s mother was three times as old as Priya. The mother is 25 years old now. How old is Priya now?
- 7.10 years ago, Aditya’s mother was four times as old as Aditya. The mother is 46 years old now. How old is Aditya now?
- 8.In 23 years, Ishaan will be twice as old as Ishaan was 5 years ago. How old is Ishaan now?
- 9.Vivaan’s father is four times as old as Vivaan. The sum of their ages is 70 years. How old is Vivaan?
- 10.9 years ago, Vivaan’s mother was three times as old as Vivaan. The mother is 24 years old now. How old is Vivaan now?
- 11.Kabir is 6 years older than Kavya. In 8 years, the sum of their ages will be 58. How old is Kavya now?
- 12.In 15 years, Vivaan will be twice as old as Vivaan was 3 years ago. How old is Vivaan now?
- 13.In 5 years, Priya will be twice as old as Priya was 3 years ago. How old is Priya now?
- 14.Saanvi is 2 years older than Kabir. In 3 years, the sum of their ages will be 30. How old is Kabir now?
- 15.Zoya is 3 years older than Isha. In 2 years, the sum of their ages will be 35. How old is Isha now?
- 16.2 years ago, Ananya’s mother was twice as old as Ananya. The mother is 26 years old now. How old is Ananya now?
- 17.Pooja’s father is twice as old as Pooja. The sum of their ages is 21 years. How old is Pooja?
- 18.Ananya’s father is three times as old as Ananya. The sum of their ages is 28 years. How old is Ananya?
- 19.10 years ago, Tara’s mother was twice as old as Tara. The mother is 22 years old now. How old is Tara now?
- 20.In 2 years, Diya will be twice as old as Diya was 5 years ago. How old is Diya now?
- 21.In 7 years, Diya will be twice as old as Diya was 4 years ago. How old is Diya now?
- 22.In 4 years, Kavya will be twice as old as Kavya was 5 years ago. How old is Kavya now?
- 23.6 years ago, Farhan’s mother was four times as old as Farhan. The mother is 18 years old now. How old is Farhan now?
- 24.Priya’s father is five times as old as Priya. The sum of their ages is 78 years. How old is Priya?
- 25.Aarav’s father is twice as old as Aarav. The sum of their ages is 15 years. How old is the father?
- 26.In 24 years, Sneha will be three times as old as Sneha was 6 years ago. How old is Sneha now?
- 27.Priya’s father is three times as old as Priya. The sum of their ages is 48 years. How old is Priya?
- 28.In 30 years, Karan will be three times as old as Karan was 4 years ago. How old is Karan now?
- 29.Sneha is 7 years older than Tara. In 5 years, the sum of their ages will be 33. How old is Tara now?
- 30.Pooja’s father is four times as old as Pooja. The sum of their ages is 35 years. How old is the father?
- 31.In 4 years, Ishaan will be twice as old as Ishaan was 4 years ago. How old is Ishaan now?
- 32.Aarav’s father is twice as old as Aarav. The sum of their ages is 39 years. How old is the father?
- 33.In 17 years, Nisha will be twice as old as Nisha was 4 years ago. How old is Nisha now?
- 34.Priya’s father is five times as old as Priya. The sum of their ages is 84 years. How old is the father?
- 35.In 27 years, Tara will be twice as old as Tara was 4 years ago. How old is Tara now?
- 36.10 years ago, Aditya’s mother was four times as old as Aditya. The mother is 34 years old now. How old is Aditya now?
- 37.Ananya is 7 years older than Dev. In 2 years, the sum of their ages will be 65. How old is Dev now?
- 38.Kabir’s father is twice as old as Kabir. The sum of their ages is 42 years. How old is Kabir?
- 39.Kabir’s father is four times as old as Kabir. The sum of their ages is 50 years. How old is the father?
- 40.Kabir is 7 years older than Nisha. In 5 years, the sum of their ages will be 53. How old is Nisha now?
Answer key
- 6
- 8
- 15
- 6
- 28
- 15
- 19
- 33
- 14
- 14
- 18
- 21
- 11
- 11
- 14
- 14
- 7
- 7
- 16
- 12
- 15
- 14
- 9
- 13
- 10
- 21
- 12
- 21
- 8
- 28
- 12
- 26
- 25
- 70
- 35
- 16
- 27
- 14
- 40
- 18
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