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
- 1.9 years ago, Tara’s mother was four times as old as Tara. The mother is 53 years old now. How old is Tara now?
- 2.Zoya is 8 years older than Diya. In 6 years, the sum of their ages will be 44. How old is Diya now?
- 3.Ishaan is 10 years older than Diya. In 8 years, the sum of their ages will be 54. How old is Diya now?
- 4.In 18 years, Aarav will be twice as old as Aarav was 3 years ago. How old is Aarav now?
- 5.In 19 years, Kavya will be twice as old as Kavya was 6 years ago. How old is Kavya now?
- 6.In 17 years, Manav will be twice as old as Manav was 6 years ago. How old is Manav now?
- 7.7 years ago, Kavya’s mother was three times as old as Kavya. The mother is 22 years old now. How old is Kavya now?
- 8.10 years ago, Nisha’s mother was three times as old as Nisha. The mother is 46 years old now. How old is Nisha now?
- 9.3 years ago, Zoya’s mother was three times as old as Zoya. The mother is 27 years old now. How old is Zoya now?
- 10.In 30 years, Meera will be twice as old as Meera was 3 years ago. How old is Meera now?
- 11.Vivaan’s father is three times as old as Vivaan. The sum of their ages is 20 years. How old is the father?
- 12.9 years ago, Zoya’s mother was twice as old as Zoya. The mother is 31 years old now. How old is Zoya now?
- 13.Rohan’s father is four times as old as Rohan. The sum of their ages is 55 years. How old is Rohan?
- 14.In 16 years, Meera will be twice as old as Meera was 4 years ago. How old is Meera now?
- 15.Meera’s father is five times as old as Meera. The sum of their ages is 60 years. How old is Meera?
- 16.8 years ago, Dev’s mother was four times as old as Dev. The mother is 32 years old now. How old is Dev now?
- 17.Kabir’s father is five times as old as Kabir. The sum of their ages is 54 years. How old is Kabir?
- 18.Ananya’s father is four times as old as Ananya. The sum of their ages is 35 years. How old is Ananya?
- 19.4 years ago, Nisha’s mother was four times as old as Nisha. The mother is 20 years old now. How old is Nisha now?
- 20.Diya is 2 years older than Isha. In 2 years, the sum of their ages will be 42. How old is Isha now?
- 21.In 22 years, Rohan will be twice as old as Rohan was 5 years ago. How old is Rohan now?
- 22.Priya is 5 years older than Kabir. In 4 years, the sum of their ages will be 37. How old is Kabir now?
- 23.Vivaan is 9 years older than Priya. In 4 years, the sum of their ages will be 61. How old is Priya now?
- 24.Dev is 2 years older than Karan. In 7 years, the sum of their ages will be 56. How old is Karan now?
- 25.Ishaan is 3 years older than Tara. In 5 years, the sum of their ages will be 61. How old is Tara now?
- 26.Ananya is 8 years older than Priya. In 10 years, the sum of their ages will be 62. How old is Priya now?
- 27.In 23 years, Kabir will be twice as old as Kabir was 6 years ago. How old is Kabir now?
- 28.5 years ago, Farhan’s mother was twice as old as Farhan. The mother is 17 years old now. How old is Farhan now?
- 29.10 years ago, Ananya’s mother was three times as old as Ananya. The mother is 31 years old now. How old is Ananya now?
- 30.In 23 years, Ananya will be twice as old as Ananya was 4 years ago. How old is Ananya now?
- 31.10 years ago, Pooja’s mother was twice as old as Pooja. The mother is 24 years old now. How old is Pooja now?
- 32.Arjun is 5 years older than Dev. In 7 years, the sum of their ages will be 39. How old is Dev now?
- 33.4 years ago, Aditya’s mother was twice as old as Aditya. The mother is 24 years old now. How old is Aditya now?
- 34.Karan is 8 years older than Nisha. In 10 years, the sum of their ages will be 52. How old is Nisha now?
- 35.Ishaan’s father is three times as old as Ishaan. The sum of their ages is 24 years. How old is Ishaan?
- 36.Rahul’s father is four times as old as Rahul. The sum of their ages is 35 years. How old is Rahul?
- 37.10 years ago, Diya’s mother was three times as old as Diya. The mother is 19 years old now. How old is Diya now?
- 38.Diya is 5 years older than Kabir. In 8 years, the sum of their ages will be 77. How old is Kabir now?
- 39.Rahul is 9 years older than Ananya. In 7 years, the sum of their ages will be 43. How old is Ananya now?
- 40.In 21 years, Pooja will be three times as old as Pooja was 3 years ago. How old is Pooja now?
Answer key
- 20
- 12
- 14
- 24
- 31
- 29
- 12
- 22
- 11
- 36
- 15
- 20
- 11
- 24
- 10
- 14
- 9
- 7
- 8
- 18
- 32
- 12
- 22
- 20
- 24
- 17
- 35
- 11
- 17
- 31
- 17
- 10
- 14
- 12
- 6
- 7
- 13
- 28
- 10
- 15
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