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.Diya’s father is twice as old as Diya. The sum of their ages is 45 years. How old is Diya?
- 2.10 years ago, Priya’s mother was three times as old as Priya. The mother is 28 years old now. How old is Priya now?
- 3.Rohan’s father is twice as old as Rohan. The sum of their ages is 42 years. How old is Rohan?
- 4.Meera is 3 years older than Arjun. In 8 years, the sum of their ages will be 31. How old is Arjun now?
- 5.3 years ago, Rohan’s mother was four times as old as Rohan. The mother is 31 years old now. How old is Rohan now?
- 6.In 14 years, Sneha will be twice as old as Sneha was 3 years ago. How old is Sneha now?
- 7.In 21 years, Nisha will be twice as old as Nisha was 2 years ago. How old is Nisha now?
- 8.Kavya’s father is five times as old as Kavya. The sum of their ages is 36 years. How old is Kavya?
- 9.7 years ago, Farhan’s mother was twice as old as Farhan. The mother is 21 years old now. How old is Farhan now?
- 10.Sneha is 8 years older than Isha. In 5 years, the sum of their ages will be 36. How old is Isha now?
- 11.4 years ago, Vivaan’s mother was three times as old as Vivaan. The mother is 16 years old now. How old is Vivaan now?
- 12.Kavya’s father is twice as old as Kavya. The sum of their ages is 18 years. How old is Kavya?
- 13.In 30 years, Karan will be twice as old as Karan was 2 years ago. How old is Karan now?
- 14.7 years ago, Sneha’s mother was four times as old as Sneha. The mother is 55 years old now. How old is Sneha now?
- 15.Kabir’s father is four times as old as Kabir. The sum of their ages is 75 years. How old is the father?
- 16.Diya is 2 years older than Aditya. In 8 years, the sum of their ages will be 74. How old is Aditya now?
- 17.In 3 years, Sneha will be twice as old as Sneha was 4 years ago. How old is Sneha now?
- 18.In 4 years, Farhan will be twice as old as Farhan was 6 years ago. How old is Farhan now?
- 19.In 18 years, Ishaan will be twice as old as Ishaan was 6 years ago. How old is Ishaan now?
- 20.Sneha is 5 years older than Pooja. In 4 years, the sum of their ages will be 47. How old is Pooja now?
- 21.In 19 years, Rahul will be twice as old as Rahul was 3 years ago. How old is Rahul now?
- 22.Ananya is 2 years older than Dev. In 7 years, the sum of their ages will be 38. How old is Dev now?
- 23.Rahul’s father is twice as old as Rahul. The sum of their ages is 15 years. How old is Rahul?
- 24.Kavya is 5 years older than Pooja. In 7 years, the sum of their ages will be 37. How old is Pooja now?
- 25.Sneha is 6 years older than Priya. In 6 years, the sum of their ages will be 34. How old is Priya now?
- 26.Nisha’s father is four times as old as Nisha. The sum of their ages is 30 years. How old is Nisha?
- 27.Nisha’s father is three times as old as Nisha. The sum of their ages is 48 years. How old is the father?
- 28.In 19 years, Kavya will be three times as old as Kavya was 3 years ago. How old is Kavya now?
- 29.2 years ago, Tara’s mother was twice as old as Tara. The mother is 10 years old now. How old is Tara now?
- 30.Dev is 2 years older than Kavya. In 3 years, the sum of their ages will be 56. How old is Kavya now?
- 31.2 years ago, Aarav’s mother was three times as old as Aarav. The mother is 20 years old now. How old is Aarav now?
- 32.5 years ago, Ananya’s mother was three times as old as Ananya. The mother is 35 years old now. How old is Ananya now?
- 33.Nisha’s father is twice as old as Nisha. The sum of their ages is 24 years. How old is Nisha?
- 34.4 years ago, Meera’s mother was twice as old as Meera. The mother is 20 years old now. How old is Meera now?
- 35.Dev’s father is four times as old as Dev. The sum of their ages is 40 years. How old is the father?
- 36.Nisha is 5 years older than Saanvi. In 9 years, the sum of their ages will be 81. How old is Saanvi now?
- 37.Rahul’s father is four times as old as Rahul. The sum of their ages is 35 years. How old is Rahul?
- 38.Arjun is 8 years older than Sneha. In 9 years, the sum of their ages will be 64. How old is Sneha now?
- 39.Rahul is 9 years older than Nisha. In 5 years, the sum of their ages will be 73. How old is Nisha now?
- 40.9 years ago, Rahul’s mother was four times as old as Rahul. The mother is 45 years old now. How old is Rahul now?
Answer key
- 15
- 16
- 14
- 6
- 10
- 20
- 25
- 6
- 14
- 9
- 8
- 6
- 34
- 19
- 60
- 28
- 11
- 16
- 30
- 17
- 25
- 11
- 5
- 9
- 8
- 6
- 36
- 14
- 6
- 24
- 8
- 15
- 8
- 12
- 32
- 29
- 7
- 19
- 27
- 18
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