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 twice as old as Manav. The sum of their ages is 18 years. How old is the father?
- 2.Pooja is 6 years older than Nisha. In 7 years, the sum of their ages will be 34. How old is Nisha now?
- 3.Manav’s father is five times as old as Manav. The sum of their ages is 66 years. How old is the father?
- 4.Aditya is 2 years older than Diya. In 10 years, the sum of their ages will be 80. How old is Diya now?
- 5.Aarav’s father is three times as old as Aarav. The sum of their ages is 28 years. How old is Aarav?
- 6.2 years ago, Aarav’s mother was twice as old as Aarav. The mother is 20 years old now. How old is Aarav now?
- 7.3 years ago, Aditya’s mother was twice as old as Aditya. The mother is 11 years old now. How old is Aditya now?
- 8.Rahul is 7 years older than Tara. In 2 years, the sum of their ages will be 29. How old is Tara now?
- 9.In 16 years, Diya will be three times as old as Diya was 6 years ago. How old is Diya now?
- 10.In 30 years, Kabir will be twice as old as Kabir was 3 years ago. How old is Kabir now?
- 11.In 28 years, Zoya will be twice as old as Zoya was 3 years ago. How old is Zoya now?
- 12.Vivaan is 9 years older than Nisha. In 10 years, the sum of their ages will be 57. How old is Nisha now?
- 13.10 years ago, Rahul’s mother was twice as old as Rahul. The mother is 16 years old now. How old is Rahul now?
- 14.9 years ago, Arjun’s mother was three times as old as Arjun. The mother is 27 years old now. How old is Arjun now?
- 15.Meera is 8 years older than Ananya. In 4 years, the sum of their ages will be 52. How old is Ananya now?
- 16.Rohan is 9 years older than Sneha. In 6 years, the sum of their ages will be 41. How old is Sneha now?
- 17.In 7 years, Zoya will be twice as old as Zoya was 4 years ago. How old is Zoya now?
- 18.10 years ago, Aditya’s mother was twice as old as Aditya. The mother is 22 years old now. How old is Aditya now?
- 19.Nisha is 2 years older than Priya. In 7 years, the sum of their ages will be 28. How old is Priya now?
- 20.In 9 years, Farhan will be twice as old as Farhan was 5 years ago. How old is Farhan now?
- 21.Manav’s father is twice as old as Manav. The sum of their ages is 27 years. How old is Manav?
- 22.Arjun’s father is four times as old as Arjun. The sum of their ages is 70 years. How old is the father?
- 23.Rohan’s father is five times as old as Rohan. The sum of their ages is 42 years. How old is Rohan?
- 24.Nisha’s father is three times as old as Nisha. The sum of their ages is 56 years. How old is Nisha?
- 25.Kabir is 6 years older than Kavya. In 6 years, the sum of their ages will be 34. How old is Kavya now?
- 26.Ishaan is 10 years older than Sneha. In 3 years, the sum of their ages will be 66. How old is Sneha now?
- 27.6 years ago, Nisha’s mother was four times as old as Nisha. The mother is 26 years old now. How old is Nisha now?
- 28.Manav’s father is twice as old as Manav. The sum of their ages is 42 years. How old is the father?
- 29.In 22 years, Rahul will be three times as old as Rahul was 4 years ago. How old is Rahul now?
- 30.Kabir’s father is four times as old as Kabir. The sum of their ages is 45 years. How old is the father?
- 31.4 years ago, Vivaan’s mother was three times as old as Vivaan. The mother is 34 years old now. How old is Vivaan now?
- 32.Dev is 10 years older than Arjun. In 3 years, the sum of their ages will be 46. How old is Arjun now?
- 33.2 years ago, Farhan’s mother was three times as old as Farhan. The mother is 35 years old now. How old is Farhan now?
- 34.In 18 years, Dev will be twice as old as Dev was 6 years ago. How old is Dev now?
- 35.8 years ago, Dev’s mother was twice as old as Dev. The mother is 32 years old now. How old is Dev now?
- 36.Karan’s father is four times as old as Karan. The sum of their ages is 70 years. How old is the father?
- 37.2 years ago, Farhan’s mother was four times as old as Farhan. The mother is 50 years old now. How old is Farhan now?
- 38.Meera’s father is five times as old as Meera. The sum of their ages is 30 years. How old is the father?
- 39.5 years ago, Saanvi’s mother was twice as old as Saanvi. The mother is 11 years old now. How old is Saanvi now?
- 40.Arjun is 4 years older than Pooja. In 2 years, the sum of their ages will be 22. How old is Pooja now?
Answer key
- 12
- 7
- 55
- 29
- 7
- 11
- 7
- 9
- 17
- 36
- 34
- 14
- 13
- 15
- 18
- 10
- 15
- 16
- 6
- 19
- 9
- 56
- 7
- 14
- 8
- 25
- 11
- 28
- 17
- 36
- 14
- 15
- 13
- 30
- 20
- 56
- 14
- 25
- 8
- 7
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