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.Zoya’s father is twice as old as Zoya. The sum of their ages is 39 years. How old is Zoya?
- 2.Rohan’s father is five times as old as Rohan. The sum of their ages is 42 years. How old is the father?
- 3.Farhan is 8 years older than Rohan. In 5 years, the sum of their ages will be 70. How old is Rohan now?
- 4.5 years ago, Manav’s mother was twice as old as Manav. The mother is 15 years old now. How old is Manav now?
- 5.In 17 years, Kavya will be three times as old as Kavya was 3 years ago. How old is Kavya now?
- 6.Diya is 10 years older than Karan. In 3 years, the sum of their ages will be 48. How old is Karan now?
- 7.6 years ago, Manav’s mother was three times as old as Manav. The mother is 39 years old now. How old is Manav now?
- 8.Aarav is 4 years older than Rohan. In 9 years, the sum of their ages will be 62. How old is Rohan now?
- 9.3 years ago, Kabir’s mother was three times as old as Kabir. The mother is 12 years old now. How old is Kabir now?
- 10.Farhan’s father is four times as old as Farhan. The sum of their ages is 40 years. How old is the father?
- 11.Manav’s father is four times as old as Manav. The sum of their ages is 60 years. How old is the father?
- 12.2 years ago, Manav’s mother was four times as old as Manav. The mother is 30 years old now. How old is Manav now?
- 13.5 years ago, Zoya’s mother was three times as old as Zoya. The mother is 32 years old now. How old is Zoya now?
- 14.9 years ago, Tara’s mother was twice as old as Tara. The mother is 15 years old now. How old is Tara now?
- 15.In 5 years, Aditya will be twice as old as Aditya was 4 years ago. How old is Aditya now?
- 16.Kavya is 4 years older than Priya. In 2 years, the sum of their ages will be 18. How old is Priya now?
- 17.7 years ago, Pooja’s mother was four times as old as Pooja. The mother is 27 years old now. How old is Pooja now?
- 18.Farhan is 2 years older than Rohan. In 5 years, the sum of their ages will be 58. How old is Rohan now?
- 19.Saanvi’s father is twice as old as Saanvi. The sum of their ages is 33 years. How old is the father?
- 20.Priya’s father is three times as old as Priya. The sum of their ages is 20 years. How old is Priya?
- 21.5 years ago, Priya’s mother was three times as old as Priya. The mother is 14 years old now. How old is Priya now?
- 22.4 years ago, Arjun’s mother was four times as old as Arjun. The mother is 40 years old now. How old is Arjun now?
- 23.Rahul is 6 years older than Rohan. In 5 years, the sum of their ages will be 66. How old is Rohan now?
- 24.Farhan is 10 years older than Sneha. In 5 years, the sum of their ages will be 40. How old is Sneha now?
- 25.Ishaan is 2 years older than Arjun. In 6 years, the sum of their ages will be 68. How old is Arjun now?
- 26.Vivaan is 8 years older than Zoya. In 2 years, the sum of their ages will be 26. How old is Zoya now?
- 27.Rahul is 7 years older than Saanvi. In 8 years, the sum of their ages will be 79. How old is Saanvi now?
- 28.Rahul’s father is four times as old as Rahul. The sum of their ages is 25 years. How old is the father?
- 29.Dev’s father is five times as old as Dev. The sum of their ages is 90 years. How old is the father?
- 30.Aditya is 2 years older than Ishaan. In 7 years, the sum of their ages will be 38. How old is Ishaan now?
- 31.Arjun’s father is five times as old as Arjun. The sum of their ages is 90 years. How old is the father?
- 32.In 20 years, Zoya will be twice as old as Zoya was 6 years ago. How old is Zoya now?
- 33.Dev is 3 years older than Aditya. In 9 years, the sum of their ages will be 81. How old is Aditya now?
- 34.7 years ago, Meera’s mother was three times as old as Meera. The mother is 34 years old now. How old is Meera now?
- 35.Sneha’s father is five times as old as Sneha. The sum of their ages is 66 years. How old is Sneha?
- 36.Arjun is 2 years older than Zoya. In 8 years, the sum of their ages will be 36. How old is Zoya now?
- 37.5 years ago, Tara’s mother was three times as old as Tara. The mother is 14 years old now. How old is Tara now?
- 38.Diya is 6 years older than Tara. In 9 years, the sum of their ages will be 74. How old is Tara now?
- 39.In 19 years, Tara will be twice as old as Tara was 2 years ago. How old is Tara now?
- 40.Tara’s father is three times as old as Tara. The sum of their ages is 56 years. How old is Tara?
Answer key
- 13
- 35
- 26
- 10
- 13
- 16
- 17
- 20
- 6
- 32
- 48
- 9
- 14
- 12
- 13
- 5
- 12
- 23
- 22
- 5
- 8
- 13
- 25
- 10
- 27
- 7
- 28
- 20
- 75
- 11
- 75
- 32
- 30
- 16
- 11
- 9
- 8
- 25
- 23
- 14
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