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.Manav’s father is five times as old as Manav. The sum of their ages is 78 years. How old is Manav?
- 2.9 years ago, Diya’s mother was three times as old as Diya. The mother is 27 years old now. How old is Diya now?
- 3.Ananya is 2 years older than Arjun. In 5 years, the sum of their ages will be 46. How old is Arjun now?
- 4.5 years ago, Saanvi’s mother was four times as old as Saanvi. The mother is 37 years old now. How old is Saanvi now?
- 5.In 2 years, Kabir will be twice as old as Kabir was 3 years ago. How old is Kabir now?
- 6.7 years ago, Ishaan’s mother was four times as old as Ishaan. The mother is 19 years old now. How old is Ishaan now?
- 7.8 years ago, Farhan’s mother was three times as old as Farhan. The mother is 17 years old now. How old is Farhan now?
- 8.Arjun is 4 years older than Aarav. In 2 years, the sum of their ages will be 24. How old is Aarav now?
- 9.Tara’s father is twice as old as Tara. The sum of their ages is 27 years. How old is the father?
- 10.In 5 years, Tara will be three times as old as Tara was 5 years ago. How old is Tara now?
- 11.In 17 years, Zoya will be twice as old as Zoya was 3 years ago. How old is Zoya now?
- 12.In 18 years, Diya will be twice as old as Diya was 5 years ago. How old is Diya now?
- 13.Nisha’s father is twice as old as Nisha. The sum of their ages is 33 years. How old is the father?
- 14.Kabir is 8 years older than Priya. In 7 years, the sum of their ages will be 62. How old is Priya now?
- 15.Ananya is 5 years older than Dev. In 6 years, the sum of their ages will be 33. How old is Dev now?
- 16.Aarav’s father is four times as old as Aarav. The sum of their ages is 60 years. How old is Aarav?
- 17.8 years ago, Kavya’s mother was twice as old as Kavya. The mother is 28 years old now. How old is Kavya now?
- 18.5 years ago, Aarav’s mother was three times as old as Aarav. The mother is 20 years old now. How old is Aarav now?
- 19.Aditya’s father is three times as old as Aditya. The sum of their ages is 40 years. How old is the father?
- 20.In 29 years, Pooja will be twice as old as Pooja was 3 years ago. How old is Pooja now?
- 21.Diya’s father is three times as old as Diya. The sum of their ages is 52 years. How old is Diya?
- 22.Dev’s father is five times as old as Dev. The sum of their ages is 54 years. How old is Dev?
- 23.Saanvi is 5 years older than Kabir. In 9 years, the sum of their ages will be 77. How old is Kabir now?
- 24.Manav’s father is five times as old as Manav. The sum of their ages is 48 years. How old is Manav?
- 25.In 5 years, Arjun will be three times as old as Arjun was 5 years ago. How old is Arjun now?
- 26.Karan’s father is five times as old as Karan. The sum of their ages is 42 years. How old is the father?
- 27.In 14 years, Priya will be three times as old as Priya was 4 years ago. How old is Priya now?
- 28.Tara’s father is three times as old as Tara. The sum of their ages is 52 years. How old is Tara?
- 29.Kavya is 2 years older than Karan. In 7 years, the sum of their ages will be 72. How old is Karan now?
- 30.4 years ago, Tara’s mother was twice as old as Tara. The mother is 20 years old now. How old is Tara now?
- 31.In 9 years, Karan will be three times as old as Karan was 5 years ago. How old is Karan now?
- 32.In 8 years, Rohan will be twice as old as Rohan was 3 years ago. How old is Rohan now?
- 33.6 years ago, Dev’s mother was four times as old as Dev. The mother is 26 years old now. How old is Dev now?
- 34.In 18 years, Meera will be three times as old as Meera was 6 years ago. How old is Meera now?
- 35.Diya is 3 years older than Arjun. In 4 years, the sum of their ages will be 53. How old is Arjun now?
- 36.Priya is 2 years older than Rahul. In 9 years, the sum of their ages will be 66. How old is Rahul now?
- 37.Kavya’s father is five times as old as Kavya. The sum of their ages is 84 years. How old is Kavya?
- 38.6 years ago, Dev’s mother was twice as old as Dev. The mother is 26 years old now. How old is Dev now?
- 39.10 years ago, Aditya’s mother was twice as old as Aditya. The mother is 18 years old now. How old is Aditya now?
- 40.Vivaan is 9 years older than Tara. In 5 years, the sum of their ages will be 37. How old is Tara now?
Answer key
- 13
- 15
- 17
- 13
- 8
- 10
- 11
- 8
- 18
- 10
- 23
- 28
- 22
- 20
- 8
- 12
- 18
- 10
- 30
- 35
- 13
- 9
- 27
- 8
- 10
- 35
- 13
- 13
- 28
- 12
- 12
- 14
- 11
- 18
- 21
- 23
- 14
- 16
- 14
- 9
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