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
- 1.7 years ago, Meera’s mother was four times as old as Meera. The mother is 19 years old now. How old is Meera now?
- 2.In 17 years, Aarav will be three times as old as Aarav was 3 years ago. How old is Aarav now?
- 3.Tara’s father is twice as old as Tara. The sum of their ages is 15 years. How old is the father?
- 4.Aarav is 8 years older than Meera. In 10 years, the sum of their ages will be 72. How old is Meera now?
- 5.Ishaan’s father is twice as old as Ishaan. The sum of their ages is 45 years. How old is the father?
- 6.10 years ago, Priya’s mother was twice as old as Priya. The mother is 32 years old now. How old is Priya now?
- 7.Pooja’s father is four times as old as Pooja. The sum of their ages is 30 years. How old is Pooja?
- 8.Rahul’s father is three times as old as Rahul. The sum of their ages is 20 years. How old is the father?
- 9.5 years ago, Sneha’s mother was three times as old as Sneha. The mother is 17 years old now. How old is Sneha now?
- 10.Ananya is 7 years older than Diya. In 7 years, the sum of their ages will be 69. How old is Diya now?
- 11.In 1 years, Sneha will be twice as old as Sneha was 5 years ago. How old is Sneha now?
- 12.Priya’s father is five times as old as Priya. The sum of their ages is 54 years. How old is Priya?
- 13.3 years ago, Aarav’s mother was twice as old as Aarav. The mother is 27 years old now. How old is Aarav now?
- 14.Priya’s father is four times as old as Priya. The sum of their ages is 70 years. How old is Priya?
- 15.Rahul’s father is four times as old as Rahul. The sum of their ages is 70 years. How old is Rahul?
- 16.In 5 years, Arjun will be twice as old as Arjun was 3 years ago. How old is Arjun now?
- 17.Ananya is 4 years older than Kavya. In 3 years, the sum of their ages will be 64. How old is Kavya now?
- 18.In 30 years, Saanvi will be twice as old as Saanvi was 2 years ago. How old is Saanvi now?
- 19.Aditya’s father is three times as old as Aditya. The sum of their ages is 60 years. How old is Aditya?
- 20.Sneha is 5 years older than Aarav. In 4 years, the sum of their ages will be 69. How old is Aarav now?
- 21.8 years ago, Aditya’s mother was twice as old as Aditya. The mother is 18 years old now. How old is Aditya now?
- 22.3 years ago, Pooja’s mother was three times as old as Pooja. The mother is 33 years old now. How old is Pooja now?
- 23.Zoya is 8 years older than Ananya. In 9 years, the sum of their ages will be 60. How old is Ananya now?
- 24.Rohan is 4 years older than Vivaan. In 3 years, the sum of their ages will be 28. How old is Vivaan now?
- 25.Isha’s father is four times as old as Isha. The sum of their ages is 30 years. How old is Isha?
- 26.Tara is 6 years older than Kabir. In 5 years, the sum of their ages will be 70. How old is Kabir now?
- 27.Nisha is 4 years older than Meera. In 9 years, the sum of their ages will be 68. How old is Meera now?
- 28.4 years ago, Saanvi’s mother was three times as old as Saanvi. The mother is 22 years old now. How old is Saanvi now?
- 29.Diya is 10 years older than Isha. In 10 years, the sum of their ages will be 50. How old is Isha now?
- 30.5 years ago, Dev’s mother was four times as old as Dev. The mother is 37 years old now. How old is Dev now?
- 31.Aarav is 4 years older than Arjun. In 3 years, the sum of their ages will be 64. How old is Arjun now?
- 32.In 23 years, Arjun will be twice as old as Arjun was 4 years ago. How old is Arjun now?
- 33.6 years ago, Farhan’s mother was three times as old as Farhan. The mother is 30 years old now. How old is Farhan now?
- 34.In 7 years, Zoya will be three times as old as Zoya was 3 years ago. How old is Zoya now?
- 35.Nisha’s father is five times as old as Nisha. The sum of their ages is 48 years. How old is the father?
- 36.Tara is 4 years older than Meera. In 2 years, the sum of their ages will be 56. How old is Meera now?
- 37.Zoya’s father is four times as old as Zoya. The sum of their ages is 40 years. How old is Zoya?
- 38.Aarav’s father is five times as old as Aarav. The sum of their ages is 30 years. How old is the father?
- 39.Tara is 3 years older than Nisha. In 7 years, the sum of their ages will be 31. How old is Nisha now?
- 40.4 years ago, Diya’s mother was three times as old as Diya. The mother is 28 years old now. How old is Diya now?
Answer key
- 10
- 13
- 10
- 22
- 30
- 21
- 6
- 15
- 9
- 24
- 11
- 9
- 15
- 14
- 14
- 11
- 27
- 34
- 15
- 28
- 13
- 13
- 17
- 9
- 6
- 27
- 23
- 10
- 10
- 13
- 27
- 31
- 14
- 8
- 40
- 24
- 8
- 25
- 7
- 12
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