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 6 years, Zoya will be three times as old as Zoya was 4 years ago. How old is Zoya now?
- 2.4 years ago, Diya’s mother was twice as old as Diya. The mother is 20 years old now. How old is Diya now?
- 3.Diya’s father is twice as old as Diya. The sum of their ages is 33 years. How old is the father?
- 4.6 years ago, Ananya’s mother was three times as old as Ananya. The mother is 36 years old now. How old is Ananya now?
- 5.Nisha’s father is twice as old as Nisha. The sum of their ages is 39 years. How old is the father?
- 6.In 14 years, Ishaan will be three times as old as Ishaan was 4 years ago. How old is Ishaan now?
- 7.Zoya is 5 years older than Manav. In 9 years, the sum of their ages will be 63. How old is Manav now?
- 8.3 years ago, Kavya’s mother was three times as old as Kavya. The mother is 30 years old now. How old is Kavya now?
- 9.Karan’s father is three times as old as Karan. The sum of their ages is 28 years. How old is the father?
- 10.7 years ago, Rahul’s mother was twice as old as Rahul. The mother is 21 years old now. How old is Rahul now?
- 11.7 years ago, Ananya’s mother was three times as old as Ananya. The mother is 40 years old now. How old is Ananya now?
- 12.In 5 years, Farhan will be three times as old as Farhan was 5 years ago. How old is Farhan now?
- 13.5 years ago, Vivaan’s mother was three times as old as Vivaan. The mother is 32 years old now. How old is Vivaan now?
- 14.Aditya’s father is three times as old as Aditya. The sum of their ages is 28 years. How old is Aditya?
- 15.Aditya’s father is twice as old as Aditya. The sum of their ages is 42 years. How old is Aditya?
- 16.Zoya is 8 years older than Arjun. In 4 years, the sum of their ages will be 74. How old is Arjun now?
- 17.In 30 years, Pooja will be twice as old as Pooja was 2 years ago. How old is Pooja now?
- 18.Kavya’s father is five times as old as Kavya. The sum of their ages is 54 years. How old is Kavya?
- 19.Saanvi is 9 years older than Sneha. In 10 years, the sum of their ages will be 89. How old is Sneha now?
- 20.9 years ago, Manav’s mother was four times as old as Manav. The mother is 29 years old now. How old is Manav now?
- 21.In 27 years, Aditya will be three times as old as Aditya was 5 years ago. How old is Aditya now?
- 22.In 6 years, Rahul will be twice as old as Rahul was 6 years ago. How old is Rahul now?
- 23.Diya is 3 years older than Saanvi. In 9 years, the sum of their ages will be 37. How old is Saanvi now?
- 24.10 years ago, Tara’s mother was three times as old as Tara. The mother is 31 years old now. How old is Tara now?
- 25.8 years ago, Kabir’s mother was four times as old as Kabir. The mother is 44 years old now. How old is Kabir now?
- 26.Karan is 4 years older than Kabir. In 6 years, the sum of their ages will be 32. How old is Kabir now?
- 27.Diya’s father is three times as old as Diya. The sum of their ages is 20 years. How old is Diya?
- 28.Meera is 3 years older than Pooja. In 6 years, the sum of their ages will be 27. How old is Pooja now?
- 29.9 years ago, Nisha’s mother was four times as old as Nisha. The mother is 21 years old now. How old is Nisha now?
- 30.In 17 years, Zoya will be three times as old as Zoya was 3 years ago. How old is Zoya now?
- 31.In 22 years, Priya will be twice as old as Priya was 2 years ago. How old is Priya now?
- 32.Karan’s father is four times as old as Karan. The sum of their ages is 25 years. How old is Karan?
- 33.In 28 years, Farhan will be twice as old as Farhan was 4 years ago. How old is Farhan now?
- 34.3 years ago, Ishaan’s mother was twice as old as Ishaan. The mother is 27 years old now. How old is Ishaan now?
- 35.In 15 years, Aarav will be twice as old as Aarav was 2 years ago. How old is Aarav now?
- 36.2 years ago, Sneha’s mother was four times as old as Sneha. The mother is 18 years old now. How old is Sneha now?
- 37.In 26 years, Vivaan will be twice as old as Vivaan was 3 years ago. How old is Vivaan now?
- 38.Vivaan’s father is four times as old as Vivaan. The sum of their ages is 25 years. How old is Vivaan?
- 39.5 years ago, Ishaan’s mother was four times as old as Ishaan. The mother is 41 years old now. How old is Ishaan now?
- 40.Karan’s father is five times as old as Karan. The sum of their ages is 30 years. How old is the father?
Answer key
- 9
- 12
- 22
- 16
- 26
- 13
- 20
- 12
- 21
- 14
- 18
- 10
- 14
- 7
- 14
- 29
- 34
- 9
- 30
- 14
- 21
- 18
- 8
- 17
- 17
- 8
- 5
- 6
- 12
- 13
- 26
- 5
- 36
- 15
- 19
- 6
- 32
- 5
- 14
- 25
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