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.Ananya’s father is five times as old as Ananya. The sum of their ages is 72 years. How old is Ananya?
- 2.Aarav’s father is four times as old as Aarav. The sum of their ages is 65 years. How old is the father?
- 3.8 years ago, Manav’s mother was twice as old as Manav. The mother is 30 years old now. How old is Manav now?
- 4.4 years ago, Aarav’s mother was twice as old as Aarav. The mother is 24 years old now. How old is Aarav now?
- 5.3 years ago, Aarav’s mother was four times as old as Aarav. The mother is 23 years old now. How old is Aarav now?
- 6.Ishaan is 3 years older than Dev. In 8 years, the sum of their ages will be 69. How old is Dev now?
- 7.In 12 years, Meera will be twice as old as Meera was 2 years ago. How old is Meera now?
- 8.Rohan is 8 years older than Dev. In 6 years, the sum of their ages will be 68. How old is Dev now?
- 9.Kabir is 4 years older than Saanvi. In 5 years, the sum of their ages will be 58. How old is Saanvi now?
- 10.Dev is 5 years older than Kabir. In 5 years, the sum of their ages will be 55. How old is Kabir now?
- 11.In 6 years, Arjun will be twice as old as Arjun was 5 years ago. How old is Arjun now?
- 12.Karan’s father is three times as old as Karan. The sum of their ages is 32 years. How old is Karan?
- 13.9 years ago, Pooja’s mother was twice as old as Pooja. The mother is 25 years old now. How old is Pooja now?
- 14.Ishaan is 3 years older than Meera. In 2 years, the sum of their ages will be 45. How old is Meera now?
- 15.Kavya is 4 years older than Manav. In 8 years, the sum of their ages will be 40. How old is Manav now?
- 16.10 years ago, Rahul’s mother was three times as old as Rahul. The mother is 19 years old now. How old is Rahul now?
- 17.In 30 years, Nisha will be three times as old as Nisha was 6 years ago. How old is Nisha now?
- 18.Dev’s father is twice as old as Dev. The sum of their ages is 33 years. How old is the father?
- 19.Karan is 3 years older than Dev. In 2 years, the sum of their ages will be 21. How old is Dev now?
- 20.Priya’s father is four times as old as Priya. The sum of their ages is 25 years. How old is Priya?
- 21.In 12 years, Ishaan will be twice as old as Ishaan was 2 years ago. How old is Ishaan now?
- 22.In 25 years, Tara will be twice as old as Tara was 4 years ago. How old is Tara now?
- 23.Priya is 9 years older than Ananya. In 2 years, the sum of their ages will be 23. How old is Ananya now?
- 24.6 years ago, Priya’s mother was four times as old as Priya. The mother is 38 years old now. How old is Priya now?
- 25.4 years ago, Vivaan’s mother was four times as old as Vivaan. The mother is 48 years old now. How old is Vivaan now?
- 26.9 years ago, Kabir’s mother was twice as old as Kabir. The mother is 27 years old now. How old is Kabir now?
- 27.In 27 years, Karan will be twice as old as Karan was 5 years ago. How old is Karan now?
- 28.Diya is 7 years older than Rahul. In 9 years, the sum of their ages will be 49. How old is Rahul now?
- 29.Manav is 3 years older than Farhan. In 5 years, the sum of their ages will be 23. How old is Farhan now?
- 30.Manav’s father is five times as old as Manav. The sum of their ages is 30 years. How old is Manav?
- 31.7 years ago, Karan’s mother was twice as old as Karan. The mother is 29 years old now. How old is Karan now?
- 32.Ishaan is 7 years older than Dev. In 5 years, the sum of their ages will be 61. How old is Dev now?
- 33.In 24 years, Priya will be three times as old as Priya was 6 years ago. How old is Priya now?
- 34.Farhan’s father is three times as old as Farhan. The sum of their ages is 36 years. How old is Farhan?
- 35.Kabir is 7 years older than Kavya. In 8 years, the sum of their ages will be 47. How old is Kavya now?
- 36.Dev’s father is five times as old as Dev. The sum of their ages is 84 years. How old is Dev?
- 37.In 23 years, Priya will be three times as old as Priya was 3 years ago. How old is Priya now?
- 38.Aarav’s father is twice as old as Aarav. The sum of their ages is 15 years. How old is the father?
- 39.Aarav’s father is three times as old as Aarav. The sum of their ages is 28 years. How old is Aarav?
- 40.In 20 years, Aarav will be twice as old as Aarav was 2 years ago. How old is Aarav now?
Answer key
- 12
- 52
- 19
- 14
- 8
- 25
- 16
- 24
- 22
- 20
- 16
- 8
- 17
- 19
- 10
- 13
- 24
- 22
- 7
- 5
- 16
- 33
- 5
- 14
- 15
- 18
- 37
- 12
- 5
- 5
- 18
- 22
- 21
- 9
- 12
- 14
- 16
- 10
- 7
- 24
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