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
- 1.7 years ago, Arjun’s mother was twice as old as Arjun. The mother is 13 years old now. How old is Arjun now?
- 2.Aarav’s father is twice as old as Aarav. The sum of their ages is 42 years. How old is the father?
- 3.9 years ago, Aarav’s mother was four times as old as Aarav. The mother is 49 years old now. How old is Aarav now?
- 4.In 3 years, Priya will be three times as old as Priya was 5 years ago. How old is Priya now?
- 5.Kavya’s father is four times as old as Kavya. The sum of their ages is 55 years. How old is Kavya?
- 6.In 12 years, Arjun will be three times as old as Arjun was 6 years ago. How old is Arjun now?
- 7.7 years ago, Farhan’s mother was three times as old as Farhan. The mother is 34 years old now. How old is Farhan now?
- 8.In 12 years, Diya will be three times as old as Diya was 6 years ago. How old is Diya now?
- 9.Farhan’s father is three times as old as Farhan. The sum of their ages is 32 years. How old is the father?
- 10.Isha is 5 years older than Dev. In 4 years, the sum of their ages will be 55. How old is Dev now?
- 11.3 years ago, Arjun’s mother was three times as old as Arjun. The mother is 24 years old now. How old is Arjun now?
- 12.In 18 years, Vivaan will be twice as old as Vivaan was 5 years ago. How old is Vivaan now?
- 13.Saanvi is 9 years older than Rohan. In 6 years, the sum of their ages will be 35. How old is Rohan now?
- 14.4 years ago, Rohan’s mother was four times as old as Rohan. The mother is 16 years old now. How old is Rohan now?
- 15.Rahul is 7 years older than Kabir. In 9 years, the sum of their ages will be 53. How old is Kabir now?
- 16.9 years ago, Rahul’s mother was four times as old as Rahul. The mother is 45 years old now. How old is Rahul now?
- 17.Karan is 2 years older than Aarav. In 2 years, the sum of their ages will be 32. How old is Aarav now?
- 18.In 21 years, Ananya will be twice as old as Ananya was 3 years ago. How old is Ananya now?
- 19.Diya is 9 years older than Priya. In 3 years, the sum of their ages will be 71. How old is Priya now?
- 20.In 19 years, Kavya will be twice as old as Kavya was 3 years ago. How old is Kavya now?
- 21.Tara is 7 years older than Kabir. In 2 years, the sum of their ages will be 37. How old is Kabir now?
- 22.Tara’s father is five times as old as Tara. The sum of their ages is 84 years. How old is Tara?
- 23.7 years ago, Saanvi’s mother was four times as old as Saanvi. The mother is 19 years old now. How old is Saanvi now?
- 24.10 years ago, Tara’s mother was three times as old as Tara. The mother is 46 years old now. How old is Tara now?
- 25.3 years ago, Sneha’s mother was four times as old as Sneha. The mother is 43 years old now. How old is Sneha now?
- 26.10 years ago, Manav’s mother was four times as old as Manav. The mother is 42 years old now. How old is Manav now?
- 27.Aarav’s father is four times as old as Aarav. The sum of their ages is 70 years. How old is the father?
- 28.In 17 years, Aarav will be twice as old as Aarav was 2 years ago. How old is Aarav now?
- 29.6 years ago, Arjun’s mother was twice as old as Arjun. The mother is 18 years old now. How old is Arjun now?
- 30.In 19 years, Dev will be three times as old as Dev was 5 years ago. How old is Dev now?
- 31.Isha’s father is four times as old as Isha. The sum of their ages is 70 years. How old is the father?
- 32.Dev’s father is four times as old as Dev. The sum of their ages is 65 years. How old is the father?
- 33.Nisha’s father is four times as old as Nisha. The sum of their ages is 25 years. How old is the father?
- 34.Manav’s father is twice as old as Manav. The sum of their ages is 36 years. How old is Manav?
- 35.4 years ago, Ananya’s mother was three times as old as Ananya. The mother is 13 years old now. How old is Ananya now?
- 36.In 24 years, Rahul will be twice as old as Rahul was 4 years ago. How old is Rahul now?
- 37.Rohan’s father is twice as old as Rohan. The sum of their ages is 42 years. How old is the father?
- 38.2 years ago, Pooja’s mother was twice as old as Pooja. The mother is 16 years old now. How old is Pooja now?
- 39.In 7 years, Ananya will be twice as old as Ananya was 3 years ago. How old is Ananya now?
- 40.Rohan’s father is four times as old as Rohan. The sum of their ages is 35 years. How old is Rohan?
Answer key
- 10
- 28
- 19
- 9
- 11
- 15
- 16
- 15
- 24
- 21
- 10
- 28
- 7
- 7
- 14
- 18
- 13
- 27
- 28
- 25
- 13
- 14
- 10
- 22
- 13
- 18
- 56
- 21
- 12
- 17
- 56
- 52
- 20
- 12
- 7
- 32
- 28
- 9
- 13
- 7
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