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.Manav is 7 years older than Vivaan. In 6 years, the sum of their ages will be 71. How old is Vivaan now?
- 2.Rahul’s father is three times as old as Rahul. The sum of their ages is 20 years. How old is the father?
- 3.2 years ago, Karan’s mother was three times as old as Karan. The mother is 23 years old now. How old is Karan now?
- 4.3 years ago, Tara’s mother was four times as old as Tara. The mother is 31 years old now. How old is Tara now?
- 5.Dev’s father is four times as old as Dev. The sum of their ages is 35 years. How old is the father?
- 6.In 25 years, Saanvi will be twice as old as Saanvi was 6 years ago. How old is Saanvi now?
- 7.Vivaan is 3 years older than Ishaan. In 5 years, the sum of their ages will be 59. How old is Ishaan now?
- 8.Karan’s father is twice as old as Karan. The sum of their ages is 45 years. How old is the father?
- 9.In 7 years, Priya will be twice as old as Priya was 3 years ago. How old is Priya now?
- 10.9 years ago, Aditya’s mother was twice as old as Aditya. The mother is 21 years old now. How old is Aditya now?
- 11.Meera is 8 years older than Isha. In 6 years, the sum of their ages will be 34. How old is Isha now?
- 12.5 years ago, Meera’s mother was twice as old as Meera. The mother is 17 years old now. How old is Meera now?
- 13.In 5 years, Priya will be twice as old as Priya was 6 years ago. How old is Priya now?
- 14.Vivaan is 7 years older than Diya. In 2 years, the sum of their ages will be 25. How old is Diya now?
- 15.Sneha’s father is twice as old as Sneha. The sum of their ages is 15 years. How old is the father?
- 16.2 years ago, Diya’s mother was three times as old as Diya. The mother is 11 years old now. How old is Diya now?
- 17.5 years ago, Nisha’s mother was twice as old as Nisha. The mother is 17 years old now. How old is Nisha now?
- 18.Zoya is 10 years older than Diya. In 4 years, the sum of their ages will be 48. How old is Diya now?
- 19.10 years ago, Vivaan’s mother was three times as old as Vivaan. The mother is 25 years old now. How old is Vivaan now?
- 20.Diya’s father is three times as old as Diya. The sum of their ages is 52 years. How old is Diya?
- 21.In 28 years, Aarav will be twice as old as Aarav was 3 years ago. How old is Aarav now?
- 22.In 16 years, Rahul will be twice as old as Rahul was 6 years ago. How old is Rahul now?
- 23.In 7 years, Vivaan will be three times as old as Vivaan was 3 years ago. How old is Vivaan now?
- 24.2 years ago, Zoya’s mother was four times as old as Zoya. The mother is 22 years old now. How old is Zoya now?
- 25.Nisha’s father is four times as old as Nisha. The sum of their ages is 70 years. How old is the father?
- 26.Ananya’s father is three times as old as Ananya. The sum of their ages is 24 years. How old is Ananya?
- 27.Diya is 10 years older than Rahul. In 2 years, the sum of their ages will be 42. How old is Rahul now?
- 28.Aarav’s father is four times as old as Aarav. The sum of their ages is 55 years. How old is Aarav?
- 29.In 25 years, Rohan will be twice as old as Rohan was 2 years ago. How old is Rohan now?
- 30.In 14 years, Isha will be three times as old as Isha was 6 years ago. How old is Isha now?
- 31.Kabir’s father is twice as old as Kabir. The sum of their ages is 21 years. How old is the father?
- 32.9 years ago, Kabir’s mother was four times as old as Kabir. The mother is 21 years old now. How old is Kabir now?
- 33.Rahul’s father is three times as old as Rahul. The sum of their ages is 40 years. How old is Rahul?
- 34.Ishaan is 4 years older than Priya. In 6 years, the sum of their ages will be 70. How old is Priya now?
- 35.7 years ago, Priya’s mother was twice as old as Priya. The mother is 23 years old now. How old is Priya now?
- 36.Priya is 9 years older than Meera. In 2 years, the sum of their ages will be 25. How old is Meera now?
- 37.10 years ago, Nisha’s mother was four times as old as Nisha. The mother is 50 years old now. How old is Nisha now?
- 38.Rohan is 9 years older than Kabir. In 2 years, the sum of their ages will be 57. How old is Kabir now?
- 39.9 years ago, Farhan’s mother was twice as old as Farhan. The mother is 27 years old now. How old is Farhan now?
- 40.Arjun’s father is four times as old as Arjun. The sum of their ages is 50 years. How old is the father?
Answer key
- 26
- 15
- 9
- 10
- 28
- 37
- 23
- 30
- 13
- 15
- 7
- 11
- 17
- 7
- 10
- 5
- 11
- 15
- 15
- 13
- 34
- 28
- 8
- 7
- 56
- 6
- 14
- 11
- 29
- 16
- 14
- 12
- 10
- 27
- 15
- 6
- 20
- 22
- 18
- 40
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