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.Arjun’s father is five times as old as Arjun. The sum of their ages is 54 years. How old is the father?
- 2.Ishaan’s father is five times as old as Ishaan. The sum of their ages is 78 years. How old is Ishaan?
- 3.Kabir is 5 years older than Dev. In 8 years, the sum of their ages will be 43. How old is Dev now?
- 4.Vivaan’s father is four times as old as Vivaan. The sum of their ages is 55 years. How old is the father?
- 5.Rohan is 7 years older than Manav. In 5 years, the sum of their ages will be 47. How old is Manav now?
- 6.Sneha’s father is three times as old as Sneha. The sum of their ages is 32 years. How old is Sneha?
- 7.Ishaan’s father is four times as old as Ishaan. The sum of their ages is 35 years. How old is the father?
- 8.3 years ago, Ishaan’s mother was three times as old as Ishaan. The mother is 36 years old now. How old is Ishaan now?
- 9.Dev’s father is three times as old as Dev. The sum of their ages is 20 years. How old is the father?
- 10.In 7 years, Rahul will be twice as old as Rahul was 2 years ago. How old is Rahul now?
- 11.10 years ago, Zoya’s mother was four times as old as Zoya. The mother is 42 years old now. How old is Zoya now?
- 12.In 26 years, Diya will be twice as old as Diya was 2 years ago. How old is Diya now?
- 13.Ishaan is 6 years older than Diya. In 3 years, the sum of their ages will be 56. How old is Diya now?
- 14.Aarav is 9 years older than Kabir. In 9 years, the sum of their ages will be 79. How old is Kabir now?
- 15.Kabir’s father is three times as old as Kabir. The sum of their ages is 56 years. How old is the father?
- 16.Kabir’s father is three times as old as Kabir. The sum of their ages is 20 years. How old is Kabir?
- 17.Isha’s father is twice as old as Isha. The sum of their ages is 42 years. How old is the father?
- 18.Rohan’s father is four times as old as Rohan. The sum of their ages is 75 years. How old is the father?
- 19.Meera is 3 years older than Kavya. In 3 years, the sum of their ages will be 57. How old is Kavya now?
- 20.4 years ago, Aarav’s mother was twice as old as Aarav. The mother is 26 years old now. How old is Aarav now?
- 21.Pooja’s father is four times as old as Pooja. The sum of their ages is 30 years. How old is Pooja?
- 22.Zoya’s father is five times as old as Zoya. The sum of their ages is 36 years. How old is Zoya?
- 23.9 years ago, Ishaan’s mother was three times as old as Ishaan. The mother is 45 years old now. How old is Ishaan now?
- 24.In 5 years, Pooja will be twice as old as Pooja was 6 years ago. How old is Pooja now?
- 25.Meera’s father is three times as old as Meera. The sum of their ages is 48 years. How old is the father?
- 26.In 16 years, Rohan will be twice as old as Rohan was 6 years ago. How old is Rohan now?
- 27.In 22 years, Ishaan will be twice as old as Ishaan was 2 years ago. How old is Ishaan now?
- 28.In 24 years, Isha will be three times as old as Isha was 6 years ago. How old is Isha now?
- 29.9 years ago, Nisha’s mother was three times as old as Nisha. The mother is 39 years old now. How old is Nisha now?
- 30.In 15 years, Karan will be three times as old as Karan was 5 years ago. How old is Karan now?
- 31.Zoya’s father is twice as old as Zoya. The sum of their ages is 36 years. How old is Zoya?
- 32.Aditya’s father is four times as old as Aditya. The sum of their ages is 75 years. How old is Aditya?
- 33.In 11 years, Isha will be twice as old as Isha was 4 years ago. How old is Isha now?
- 34.In 27 years, Kabir will be twice as old as Kabir was 5 years ago. How old is Kabir now?
- 35.In 5 years, Aarav will be twice as old as Aarav was 3 years ago. How old is Aarav now?
- 36.In 7 years, Kabir will be twice as old as Kabir was 2 years ago. How old is Kabir now?
- 37.In 5 years, Nisha will be twice as old as Nisha was 3 years ago. How old is Nisha now?
- 38.Ananya’s father is five times as old as Ananya. The sum of their ages is 48 years. How old is the father?
- 39.10 years ago, Ishaan’s mother was three times as old as Ishaan. The mother is 25 years old now. How old is Ishaan now?
- 40.3 years ago, Kabir’s mother was twice as old as Kabir. The mother is 21 years old now. How old is Kabir now?
Answer key
- 45
- 13
- 11
- 44
- 15
- 8
- 28
- 14
- 15
- 11
- 18
- 30
- 22
- 26
- 42
- 5
- 28
- 60
- 24
- 15
- 6
- 6
- 21
- 17
- 36
- 28
- 26
- 21
- 19
- 15
- 12
- 15
- 19
- 37
- 11
- 11
- 11
- 40
- 15
- 12
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