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.Farhan’s father is five times as old as Farhan. The sum of their ages is 72 years. How old is Farhan?
- 2.Aarav’s father is twice as old as Aarav. The sum of their ages is 24 years. How old is Aarav?
- 3.Zoya’s father is four times as old as Zoya. The sum of their ages is 70 years. How old is Zoya?
- 4.10 years ago, Rahul’s mother was three times as old as Rahul. The mother is 31 years old now. How old is Rahul now?
- 5.7 years ago, Rohan’s mother was four times as old as Rohan. The mother is 51 years old now. How old is Rohan now?
- 6.Rohan’s father is five times as old as Rohan. The sum of their ages is 36 years. How old is Rohan?
- 7.7 years ago, Kabir’s mother was three times as old as Kabir. The mother is 43 years old now. How old is Kabir now?
- 8.4 years ago, Nisha’s mother was twice as old as Nisha. The mother is 14 years old now. How old is Nisha now?
- 9.10 years ago, Sneha’s mother was twice as old as Sneha. The mother is 18 years old now. How old is Sneha now?
- 10.2 years ago, Rohan’s mother was four times as old as Rohan. The mother is 38 years old now. How old is Rohan now?
- 11.In 2 years, Sneha will be three times as old as Sneha was 6 years ago. How old is Sneha now?
- 12.Diya is 2 years older than Tara. In 7 years, the sum of their ages will be 66. How old is Tara now?
- 13.Isha is 10 years older than Meera. In 9 years, the sum of their ages will be 54. How old is Meera now?
- 14.3 years ago, Rohan’s mother was three times as old as Rohan. The mother is 39 years old now. How old is Rohan now?
- 15.Zoya’s father is twice as old as Zoya. The sum of their ages is 15 years. How old is Zoya?
- 16.Aditya’s father is twice as old as Aditya. The sum of their ages is 24 years. How old is Aditya?
- 17.Manav’s father is four times as old as Manav. The sum of their ages is 35 years. How old is the father?
- 18.Aarav’s father is three times as old as Aarav. The sum of their ages is 44 years. How old is the father?
- 19.Priya’s father is three times as old as Priya. The sum of their ages is 28 years. How old is Priya?
- 20.Rahul’s father is five times as old as Rahul. The sum of their ages is 42 years. How old is the father?
- 21.3 years ago, Dev’s mother was three times as old as Dev. The mother is 30 years old now. How old is Dev now?
- 22.Rahul’s father is four times as old as Rahul. The sum of their ages is 40 years. How old is the father?
- 23.Rohan is 5 years older than Isha. In 3 years, the sum of their ages will be 31. How old is Isha now?
- 24.In 7 years, Kabir will be twice as old as Kabir was 2 years ago. How old is Kabir now?
- 25.Manav is 5 years older than Rohan. In 9 years, the sum of their ages will be 79. How old is Rohan now?
- 26.6 years ago, Manav’s mother was three times as old as Manav. The mother is 15 years old now. How old is Manav now?
- 27.Karan’s father is four times as old as Karan. The sum of their ages is 50 years. How old is Karan?
- 28.Ishaan’s father is twice as old as Ishaan. The sum of their ages is 30 years. How old is the father?
- 29.Diya is 10 years older than Pooja. In 9 years, the sum of their ages will be 70. How old is Pooja now?
- 30.9 years ago, Aditya’s mother was twice as old as Aditya. The mother is 29 years old now. How old is Aditya now?
- 31.In 6 years, Diya will be three times as old as Diya was 4 years ago. How old is Diya now?
- 32.5 years ago, Karan’s mother was three times as old as Karan. The mother is 23 years old now. How old is Karan now?
- 33.Saanvi’s father is three times as old as Saanvi. The sum of their ages is 20 years. How old is the father?
- 34.Kavya’s father is twice as old as Kavya. The sum of their ages is 21 years. How old is Kavya?
- 35.7 years ago, Kabir’s mother was twice as old as Kabir. The mother is 15 years old now. How old is Kabir now?
- 36.Ananya’s father is twice as old as Ananya. The sum of their ages is 18 years. How old is Ananya?
- 37.In 21 years, Kabir will be twice as old as Kabir was 5 years ago. How old is Kabir now?
- 38.In 13 years, Aarav will be twice as old as Aarav was 3 years ago. How old is Aarav now?
- 39.Zoya’s father is four times as old as Zoya. The sum of their ages is 25 years. How old is Zoya?
- 40.In 5 years, Farhan will be three times as old as Farhan was 5 years ago. How old is Farhan now?
Answer key
- 12
- 8
- 14
- 17
- 18
- 6
- 19
- 9
- 14
- 11
- 10
- 25
- 13
- 15
- 5
- 8
- 28
- 33
- 7
- 35
- 12
- 32
- 10
- 11
- 28
- 9
- 10
- 20
- 21
- 19
- 9
- 11
- 15
- 7
- 11
- 6
- 31
- 19
- 5
- 10
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