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.Farhan’s father is five times as old as Farhan. The sum of their ages is 84 years. How old is Farhan?
- 2.7 years ago, Dev’s mother was twice as old as Dev. The mother is 25 years old now. How old is Dev now?
- 3.3 years ago, Ishaan’s mother was twice as old as Ishaan. The mother is 23 years old now. How old is Ishaan now?
- 4.In 12 years, Rohan will be twice as old as Rohan was 2 years ago. How old is Rohan now?
- 5.9 years ago, Diya’s mother was twice as old as Diya. The mother is 33 years old now. How old is Diya now?
- 6.In 4 years, Kabir will be twice as old as Kabir was 4 years ago. How old is Kabir now?
- 7.In 20 years, Aarav will be twice as old as Aarav was 2 years ago. How old is Aarav now?
- 8.7 years ago, Priya’s mother was three times as old as Priya. The mother is 16 years old now. How old is Priya now?
- 9.Kabir’s father is four times as old as Kabir. The sum of their ages is 60 years. How old is Kabir?
- 10.In 24 years, Kabir will be three times as old as Kabir was 2 years ago. How old is Kabir now?
- 11.Rohan is 10 years older than Farhan. In 5 years, the sum of their ages will be 80. How old is Farhan now?
- 12.Kavya’s father is five times as old as Kavya. The sum of their ages is 90 years. How old is the father?
- 13.2 years ago, Isha’s mother was four times as old as Isha. The mother is 26 years old now. How old is Isha now?
- 14.Vivaan’s father is three times as old as Vivaan. The sum of their ages is 28 years. How old is the father?
- 15.Dev is 10 years older than Farhan. In 9 years, the sum of their ages will be 40. How old is Farhan now?
- 16.In 16 years, Tara will be twice as old as Tara was 4 years ago. How old is Tara now?
- 17.3 years ago, Rohan’s mother was twice as old as Rohan. The mother is 11 years old now. How old is Rohan now?
- 18.Ishaan’s father is twice as old as Ishaan. The sum of their ages is 36 years. How old is the father?
- 19.Ananya is 3 years older than Isha. In 6 years, the sum of their ages will be 57. How old is Isha now?
- 20.In 3 years, Ananya will be twice as old as Ananya was 6 years ago. How old is Ananya now?
- 21.Dev’s father is three times as old as Dev. The sum of their ages is 40 years. How old is Dev?
- 22.In 1 years, Pooja will be twice as old as Pooja was 4 years ago. How old is Pooja now?
- 23.Nisha is 7 years older than Pooja. In 2 years, the sum of their ages will be 45. How old is Pooja now?
- 24.5 years ago, Diya’s mother was three times as old as Diya. The mother is 14 years old now. How old is Diya now?
- 25.Priya’s father is three times as old as Priya. The sum of their ages is 56 years. How old is the father?
- 26.Isha is 6 years older than Ishaan. In 6 years, the sum of their ages will be 42. How old is Ishaan now?
- 27.Ananya is 2 years older than Nisha. In 4 years, the sum of their ages will be 22. How old is Nisha now?
- 28.In 8 years, Saanvi will be three times as old as Saanvi was 6 years ago. How old is Saanvi now?
- 29.Nisha is 6 years older than Zoya. In 4 years, the sum of their ages will be 62. How old is Zoya now?
- 30.Arjun’s father is four times as old as Arjun. The sum of their ages is 50 years. How old is Arjun?
- 31.In 19 years, Nisha will be three times as old as Nisha was 3 years ago. How old is Nisha now?
- 32.10 years ago, Isha’s mother was three times as old as Isha. The mother is 37 years old now. How old is Isha now?
- 33.In 9 years, Ishaan will be twice as old as Ishaan was 4 years ago. How old is Ishaan now?
- 34.Kabir’s father is three times as old as Kabir. The sum of their ages is 32 years. How old is Kabir?
- 35.Aarav’s father is four times as old as Aarav. The sum of their ages is 40 years. How old is Aarav?
- 36.Farhan is 7 years older than Rohan. In 2 years, the sum of their ages will be 63. How old is Rohan now?
- 37.Arjun is 5 years older than Farhan. In 10 years, the sum of their ages will be 65. How old is Farhan now?
- 38.In 7 years, Arjun will be twice as old as Arjun was 5 years ago. How old is Arjun now?
- 39.In 19 years, Karan will be three times as old as Karan was 5 years ago. How old is Karan now?
- 40.9 years ago, Dev’s mother was four times as old as Dev. The mother is 57 years old now. How old is Dev now?
Answer key
- 14
- 16
- 13
- 16
- 21
- 12
- 24
- 10
- 12
- 15
- 30
- 75
- 8
- 21
- 6
- 24
- 7
- 24
- 21
- 15
- 10
- 9
- 17
- 8
- 42
- 12
- 6
- 13
- 24
- 10
- 14
- 19
- 17
- 8
- 8
- 26
- 20
- 17
- 17
- 21
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