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.In 23 years, Vivaan will be three times as old as Vivaan was 3 years ago. How old is Vivaan now?
- 2.In 10 years, Arjun will be twice as old as Arjun was 4 years ago. How old is Arjun now?
- 3.In 27 years, Arjun will be twice as old as Arjun was 6 years ago. How old is Arjun now?
- 4.Priya’s father is four times as old as Priya. The sum of their ages is 35 years. How old is Priya?
- 5.Arjun is 5 years older than Rohan. In 3 years, the sum of their ages will be 61. How old is Rohan now?
- 6.Dev’s father is three times as old as Dev. The sum of their ages is 56 years. How old is the father?
- 7.In 11 years, Manav will be three times as old as Manav was 5 years ago. How old is Manav now?
- 8.Tara’s father is four times as old as Tara. The sum of their ages is 70 years. How old is Tara?
- 9.Zoya’s father is three times as old as Zoya. The sum of their ages is 36 years. How old is the father?
- 10.Aarav is 9 years older than Arjun. In 7 years, the sum of their ages will be 77. How old is Arjun now?
- 11.Priya’s father is five times as old as Priya. The sum of their ages is 36 years. How old is the father?
- 12.Aditya’s father is three times as old as Aditya. The sum of their ages is 44 years. How old is Aditya?
- 13.Arjun is 6 years older than Zoya. In 9 years, the sum of their ages will be 34. How old is Zoya now?
- 14.4 years ago, Rahul’s mother was three times as old as Rahul. The mother is 31 years old now. How old is Rahul now?
- 15.3 years ago, Nisha’s mother was twice as old as Nisha. The mother is 15 years old now. How old is Nisha now?
- 16.Kabir is 2 years older than Meera. In 6 years, the sum of their ages will be 24. How old is Meera now?
- 17.Kavya is 9 years older than Arjun. In 2 years, the sum of their ages will be 43. How old is Arjun now?
- 18.Isha is 2 years older than Ananya. In 7 years, the sum of their ages will be 56. How old is Ananya now?
- 19.Aarav is 4 years older than Manav. In 5 years, the sum of their ages will be 36. How old is Manav now?
- 20.9 years ago, Rohan’s mother was three times as old as Rohan. The mother is 36 years old now. How old is Rohan now?
- 21.4 years ago, Manav’s mother was three times as old as Manav. The mother is 34 years old now. How old is Manav now?
- 22.In 10 years, Arjun will be twice as old as Arjun was 2 years ago. How old is Arjun now?
- 23.In 23 years, Meera will be twice as old as Meera was 4 years ago. How old is Meera now?
- 24.Kabir’s father is four times as old as Kabir. The sum of their ages is 25 years. How old is the father?
- 25.Kabir’s father is twice as old as Kabir. The sum of their ages is 15 years. How old is the father?
- 26.Ishaan is 2 years older than Nisha. In 9 years, the sum of their ages will be 64. How old is Nisha now?
- 27.In 15 years, Meera will be three times as old as Meera was 3 years ago. How old is Meera now?
- 28.Farhan is 9 years older than Meera. In 6 years, the sum of their ages will be 65. How old is Meera now?
- 29.Diya’s father is five times as old as Diya. The sum of their ages is 36 years. How old is the father?
- 30.In 13 years, Meera will be three times as old as Meera was 3 years ago. How old is Meera now?
- 31.In 30 years, Diya will be three times as old as Diya was 6 years ago. How old is Diya now?
- 32.5 years ago, Kavya’s mother was twice as old as Kavya. The mother is 15 years old now. How old is Kavya now?
- 33.In 28 years, Karan will be twice as old as Karan was 6 years ago. How old is Karan now?
- 34.In 24 years, Ishaan will be twice as old as Ishaan was 5 years ago. How old is Ishaan now?
- 35.6 years ago, Ishaan’s mother was four times as old as Ishaan. The mother is 30 years old now. How old is Ishaan now?
- 36.Kavya’s father is twice as old as Kavya. The sum of their ages is 24 years. How old is the father?
- 37.Manav is 9 years older than Aarav. In 7 years, the sum of their ages will be 55. How old is Aarav now?
- 38.Dev is 7 years older than Arjun. In 8 years, the sum of their ages will be 39. How old is Arjun now?
- 39.In 25 years, Tara will be twice as old as Tara was 4 years ago. How old is Tara now?
- 40.Farhan’s father is four times as old as Farhan. The sum of their ages is 35 years. How old is the father?
Answer key
- 16
- 18
- 39
- 7
- 25
- 42
- 13
- 14
- 27
- 27
- 30
- 11
- 5
- 13
- 9
- 5
- 15
- 20
- 11
- 18
- 14
- 14
- 31
- 20
- 10
- 22
- 12
- 22
- 30
- 11
- 24
- 10
- 40
- 34
- 12
- 16
- 16
- 8
- 33
- 28
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