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.Aarav’s father is five times as old as Aarav. The sum of their ages is 72 years. How old is the father?
- 2.5 years ago, Ananya’s mother was twice as old as Ananya. The mother is 23 years old now. How old is Ananya now?
- 3.Zoya’s father is four times as old as Zoya. The sum of their ages is 75 years. How old is Zoya?
- 4.Kabir’s father is twice as old as Kabir. The sum of their ages is 27 years. How old is Kabir?
- 5.Dev’s father is twice as old as Dev. The sum of their ages is 42 years. How old is the father?
- 6.Aditya’s father is four times as old as Aditya. The sum of their ages is 65 years. How old is Aditya?
- 7.8 years ago, Sneha’s mother was twice as old as Sneha. The mother is 16 years old now. How old is Sneha now?
- 8.6 years ago, Vivaan’s mother was three times as old as Vivaan. The mother is 27 years old now. How old is Vivaan now?
- 9.In 27 years, Aditya will be twice as old as Aditya was 3 years ago. How old is Aditya now?
- 10.9 years ago, Kabir’s mother was three times as old as Kabir. The mother is 42 years old now. How old is Kabir now?
- 11.6 years ago, Ananya’s mother was twice as old as Ananya. The mother is 14 years old now. How old is Ananya now?
- 12.Aditya is 4 years older than Kabir. In 2 years, the sum of their ages will be 44. How old is Kabir now?
- 13.Manav’s father is twice as old as Manav. The sum of their ages is 24 years. How old is the father?
- 14.Diya’s father is twice as old as Diya. The sum of their ages is 42 years. How old is Diya?
- 15.Kabir is 2 years older than Rohan. In 10 years, the sum of their ages will be 72. How old is Rohan now?
- 16.Kavya’s father is four times as old as Kavya. The sum of their ages is 50 years. How old is Kavya?
- 17.Arjun’s father is five times as old as Arjun. The sum of their ages is 42 years. How old is Arjun?
- 18.Arjun’s father is three times as old as Arjun. The sum of their ages is 44 years. How old is Arjun?
- 19.4 years ago, Kavya’s mother was twice as old as Kavya. The mother is 26 years old now. How old is Kavya now?
- 20.2 years ago, Ananya’s mother was twice as old as Ananya. The mother is 12 years old now. How old is Ananya now?
- 21.8 years ago, Kavya’s mother was three times as old as Kavya. The mother is 38 years old now. How old is Kavya now?
- 22.Tara is 3 years older than Isha. In 8 years, the sum of their ages will be 47. How old is Isha now?
- 23.In 30 years, Arjun will be twice as old as Arjun was 2 years ago. How old is Arjun now?
- 24.Arjun is 5 years older than Sneha. In 10 years, the sum of their ages will be 55. How old is Sneha now?
- 25.Aditya’s father is three times as old as Aditya. The sum of their ages is 24 years. How old is the father?
- 26.Aarav is 7 years older than Arjun. In 4 years, the sum of their ages will be 59. How old is Arjun now?
- 27.7 years ago, Tara’s mother was three times as old as Tara. The mother is 22 years old now. How old is Tara now?
- 28.Kabir’s father is three times as old as Kabir. The sum of their ages is 40 years. How old is the father?
- 29.Ananya’s father is three times as old as Ananya. The sum of their ages is 48 years. How old is the father?
- 30.10 years ago, Ishaan’s mother was twice as old as Ishaan. The mother is 28 years old now. How old is Ishaan now?
- 31.Kavya’s father is three times as old as Kavya. The sum of their ages is 48 years. How old is the father?
- 32.3 years ago, Priya’s mother was twice as old as Priya. The mother is 21 years old now. How old is Priya now?
- 33.In 20 years, Ishaan will be twice as old as Ishaan was 6 years ago. How old is Ishaan now?
- 34.Dev’s father is twice as old as Dev. The sum of their ages is 24 years. How old is Dev?
- 35.In 8 years, Meera will be three times as old as Meera was 4 years ago. How old is Meera now?
- 36.Rohan is 7 years older than Rahul. In 5 years, the sum of their ages will be 57. How old is Rahul now?
- 37.Ananya’s father is four times as old as Ananya. The sum of their ages is 45 years. How old is the father?
- 38.7 years ago, Rohan’s mother was four times as old as Rohan. The mother is 35 years old now. How old is Rohan now?
- 39.Aarav is 5 years older than Nisha. In 3 years, the sum of their ages will be 51. How old is Nisha now?
- 40.Tara’s father is four times as old as Tara. The sum of their ages is 45 years. How old is Tara?
Answer key
- 60
- 14
- 15
- 9
- 28
- 13
- 12
- 13
- 33
- 20
- 10
- 18
- 16
- 14
- 25
- 10
- 7
- 11
- 15
- 7
- 18
- 14
- 34
- 15
- 18
- 22
- 12
- 30
- 36
- 19
- 36
- 12
- 32
- 8
- 10
- 20
- 36
- 14
- 20
- 9
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