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 four times as old as Farhan. The sum of their ages is 70 years. How old is Farhan?
- 2.In 23 years, Farhan will be three times as old as Farhan was 3 years ago. How old is Farhan now?
- 3.5 years ago, Nisha’s mother was twice as old as Nisha. The mother is 25 years old now. How old is Nisha now?
- 4.In 18 years, Rahul will be three times as old as Rahul was 4 years ago. How old is Rahul now?
- 5.Aarav’s father is three times as old as Aarav. The sum of their ages is 40 years. How old is Aarav?
- 6.9 years ago, Farhan’s mother was four times as old as Farhan. The mother is 25 years old now. How old is Farhan now?
- 7.Vivaan’s father is twice as old as Vivaan. The sum of their ages is 21 years. How old is the father?
- 8.Nisha’s father is three times as old as Nisha. The sum of their ages is 48 years. How old is Nisha?
- 9.Kabir is 4 years older than Aarav. In 8 years, the sum of their ages will be 54. How old is Aarav now?
- 10.Zoya’s father is four times as old as Zoya. The sum of their ages is 40 years. How old is the father?
- 11.Karan’s father is four times as old as Karan. The sum of their ages is 65 years. How old is Karan?
- 12.Diya is 10 years older than Zoya. In 4 years, the sum of their ages will be 32. How old is Zoya now?
- 13.Rahul’s father is twice as old as Rahul. The sum of their ages is 21 years. How old is Rahul?
- 14.In 12 years, Saanvi will be twice as old as Saanvi was 5 years ago. How old is Saanvi now?
- 15.Tara’s father is four times as old as Tara. The sum of their ages is 50 years. How old is Tara?
- 16.5 years ago, Kabir’s mother was three times as old as Kabir. The mother is 17 years old now. How old is Kabir now?
- 17.In 14 years, Saanvi will be twice as old as Saanvi was 3 years ago. How old is Saanvi now?
- 18.9 years ago, Isha’s mother was twice as old as Isha. The mother is 19 years old now. How old is Isha now?
- 19.In 16 years, Kabir will be three times as old as Kabir was 2 years ago. How old is Kabir now?
- 20.In 21 years, Aditya will be twice as old as Aditya was 5 years ago. How old is Aditya now?
- 21.9 years ago, Nisha’s mother was three times as old as Nisha. The mother is 27 years old now. How old is Nisha now?
- 22.Ishaan’s father is four times as old as Ishaan. The sum of their ages is 25 years. How old is Ishaan?
- 23.Ananya is 2 years older than Sneha. In 10 years, the sum of their ages will be 68. How old is Sneha now?
- 24.Priya’s father is five times as old as Priya. The sum of their ages is 72 years. How old is the father?
- 25.In 26 years, Vivaan will be three times as old as Vivaan was 6 years ago. How old is Vivaan now?
- 26.In 23 years, Farhan will be twice as old as Farhan was 3 years ago. How old is Farhan now?
- 27.Rahul’s father is twice as old as Rahul. The sum of their ages is 33 years. How old is Rahul?
- 28.Diya’s father is three times as old as Diya. The sum of their ages is 44 years. How old is the father?
- 29.In 5 years, Sneha will be twice as old as Sneha was 5 years ago. How old is Sneha now?
- 30.Manav’s father is three times as old as Manav. The sum of their ages is 36 years. How old is Manav?
- 31.Kabir’s father is three times as old as Kabir. The sum of their ages is 20 years. How old is Kabir?
- 32.Pooja’s father is three times as old as Pooja. The sum of their ages is 20 years. How old is Pooja?
- 33.Arjun’s father is twice as old as Arjun. The sum of their ages is 27 years. How old is Arjun?
- 34.7 years ago, Zoya’s mother was four times as old as Zoya. The mother is 55 years old now. How old is Zoya now?
- 35.Ananya is 3 years older than Karan. In 6 years, the sum of their ages will be 31. How old is Karan now?
- 36.5 years ago, Aarav’s mother was twice as old as Aarav. The mother is 23 years old now. How old is Aarav now?
- 37.In 7 years, Meera will be twice as old as Meera was 3 years ago. How old is Meera now?
- 38.Zoya’s father is four times as old as Zoya. The sum of their ages is 55 years. How old is Zoya?
- 39.4 years ago, Nisha’s mother was twice as old as Nisha. The mother is 10 years old now. How old is Nisha now?
- 40.8 years ago, Dev’s mother was four times as old as Dev. The mother is 28 years old now. How old is Dev now?
Answer key
- 14
- 16
- 15
- 15
- 10
- 13
- 14
- 12
- 17
- 32
- 13
- 7
- 7
- 22
- 10
- 9
- 20
- 14
- 11
- 31
- 15
- 5
- 23
- 60
- 22
- 29
- 11
- 33
- 15
- 9
- 5
- 5
- 9
- 19
- 8
- 14
- 13
- 11
- 7
- 13
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