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.Nisha’s father is five times as old as Nisha. The sum of their ages is 78 years. How old is Nisha?
- 2.In 23 years, Ishaan will be twice as old as Ishaan was 5 years ago. How old is Ishaan now?
- 3.In 12 years, Diya will be twice as old as Diya was 2 years ago. How old is Diya now?
- 4.Meera’s father is five times as old as Meera. The sum of their ages is 48 years. How old is Meera?
- 5.In 2 years, Saanvi will be twice as old as Saanvi was 5 years ago. How old is Saanvi now?
- 6.Kabir is 3 years older than Karan. In 3 years, the sum of their ages will be 37. How old is Karan now?
- 7.Sneha is 10 years older than Diya. In 8 years, the sum of their ages will be 78. How old is Diya now?
- 8.5 years ago, Ananya’s mother was four times as old as Ananya. The mother is 45 years old now. How old is Ananya now?
- 9.Nisha’s father is five times as old as Nisha. The sum of their ages is 48 years. How old is the father?
- 10.5 years ago, Nisha’s mother was three times as old as Nisha. The mother is 35 years old now. How old is Nisha now?
- 11.8 years ago, Diya’s mother was four times as old as Diya. The mother is 32 years old now. How old is Diya now?
- 12.In 20 years, Rohan will be twice as old as Rohan was 3 years ago. How old is Rohan now?
- 13.Arjun’s father is four times as old as Arjun. The sum of their ages is 55 years. How old is Arjun?
- 14.Saanvi is 7 years older than Aditya. In 2 years, the sum of their ages will be 65. How old is Aditya now?
- 15.Sneha is 2 years older than Diya. In 3 years, the sum of their ages will be 32. How old is Diya now?
- 16.Arjun is 6 years older than Diya. In 5 years, the sum of their ages will be 70. How old is Diya now?
- 17.8 years ago, Aarav’s mother was three times as old as Aarav. The mother is 17 years old now. How old is Aarav now?
- 18.Kavya’s father is five times as old as Kavya. The sum of their ages is 72 years. How old is Kavya?
- 19.In 8 years, Aditya will be twice as old as Aditya was 3 years ago. How old is Aditya now?
- 20.Priya’s father is five times as old as Priya. The sum of their ages is 72 years. How old is Priya?
- 21.In 21 years, Rohan will be twice as old as Rohan was 3 years ago. How old is Rohan now?
- 22.In 3 years, Saanvi will be three times as old as Saanvi was 5 years ago. How old is Saanvi now?
- 23.In 26 years, Rohan will be twice as old as Rohan was 5 years ago. How old is Rohan now?
- 24.Rohan’s father is twice as old as Rohan. The sum of their ages is 18 years. How old is Rohan?
- 25.7 years ago, Ananya’s mother was three times as old as Ananya. The mother is 22 years old now. How old is Ananya now?
- 26.Dev is 9 years older than Arjun. In 3 years, the sum of their ages will be 73. How old is Arjun now?
- 27.In 13 years, Karan will be three times as old as Karan was 5 years ago. How old is Karan now?
- 28.Arjun’s father is twice as old as Arjun. The sum of their ages is 21 years. How old is Arjun?
- 29.Ananya is 6 years older than Arjun. In 4 years, the sum of their ages will be 38. How old is Arjun now?
- 30.Dev’s father is three times as old as Dev. The sum of their ages is 28 years. How old is the father?
- 31.Ananya is 8 years older than Tara. In 3 years, the sum of their ages will be 34. How old is Tara now?
- 32.3 years ago, Arjun’s mother was twice as old as Arjun. The mother is 9 years old now. How old is Arjun now?
- 33.3 years ago, Kabir’s mother was three times as old as Kabir. The mother is 18 years old now. How old is Kabir now?
- 34.Rohan’s father is five times as old as Rohan. The sum of their ages is 30 years. How old is the father?
- 35.Ananya is 9 years older than Kabir. In 3 years, the sum of their ages will be 47. How old is Kabir now?
- 36.Saanvi’s father is five times as old as Saanvi. The sum of their ages is 72 years. How old is the father?
- 37.In 8 years, Manav will be twice as old as Manav was 4 years ago. How old is Manav now?
- 38.In 8 years, Vivaan will be twice as old as Vivaan was 5 years ago. How old is Vivaan now?
- 39.In 22 years, Dev will be twice as old as Dev was 3 years ago. How old is Dev now?
- 40.In 7 years, Sneha will be twice as old as Sneha was 4 years ago. How old is Sneha now?
Answer key
- 13
- 33
- 16
- 8
- 12
- 14
- 26
- 15
- 40
- 15
- 14
- 26
- 11
- 27
- 12
- 27
- 11
- 12
- 14
- 12
- 27
- 9
- 36
- 6
- 12
- 29
- 14
- 7
- 12
- 21
- 10
- 6
- 8
- 25
- 16
- 60
- 16
- 18
- 28
- 15
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