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.Dev’s father is twice as old as Dev. The sum of their ages is 45 years. How old is the father?
- 2.Aditya’s father is twice as old as Aditya. The sum of their ages is 45 years. How old is the father?
- 3.7 years ago, Kabir’s mother was twice as old as Kabir. The mother is 15 years old now. How old is Kabir now?
- 4.Manav is 3 years older than Kabir. In 10 years, the sum of their ages will be 39. How old is Kabir now?
- 5.Karan is 2 years older than Aarav. In 5 years, the sum of their ages will be 52. How old is Aarav now?
- 6.Nisha is 4 years older than Sneha. In 6 years, the sum of their ages will be 46. How old is Sneha now?
- 7.Diya is 10 years older than Ishaan. In 2 years, the sum of their ages will be 42. How old is Ishaan now?
- 8.Dev is 8 years older than Nisha. In 2 years, the sum of their ages will be 32. How old is Nisha now?
- 9.Sneha’s father is three times as old as Sneha. The sum of their ages is 28 years. How old is Sneha?
- 10.Kabir is 2 years older than Arjun. In 7 years, the sum of their ages will be 64. How old is Arjun now?
- 11.7 years ago, Karan’s mother was four times as old as Karan. The mother is 27 years old now. How old is Karan now?
- 12.Dev is 3 years older than Aditya. In 10 years, the sum of their ages will be 55. How old is Aditya now?
- 13.Tara’s father is five times as old as Tara. The sum of their ages is 42 years. How old is the father?
- 14.Farhan is 8 years older than Nisha. In 2 years, the sum of their ages will be 26. How old is Nisha now?
- 15.3 years ago, Sneha’s mother was twice as old as Sneha. The mother is 21 years old now. How old is Sneha now?
- 16.Arjun is 4 years older than Rohan. In 7 years, the sum of their ages will be 36. How old is Rohan now?
- 17.3 years ago, Ishaan’s mother was four times as old as Ishaan. The mother is 31 years old now. How old is Ishaan now?
- 18.In 6 years, Tara will be twice as old as Tara was 5 years ago. How old is Tara now?
- 19.Manav’s father is four times as old as Manav. The sum of their ages is 70 years. How old is the father?
- 20.Kabir’s father is twice as old as Kabir. The sum of their ages is 33 years. How old is the father?
- 21.In 10 years, Rohan will be three times as old as Rohan was 4 years ago. How old is Rohan now?
- 22.Karan’s father is five times as old as Karan. The sum of their ages is 30 years. How old is the father?
- 23.Karan is 9 years older than Meera. In 6 years, the sum of their ages will be 37. How old is Meera now?
- 24.Karan is 7 years older than Arjun. In 8 years, the sum of their ages will be 47. How old is Arjun now?
- 25.In 26 years, Sneha will be three times as old as Sneha was 2 years ago. How old is Sneha now?
- 26.10 years ago, Arjun’s mother was three times as old as Arjun. The mother is 22 years old now. How old is Arjun now?
- 27.2 years ago, Saanvi’s mother was twice as old as Saanvi. The mother is 10 years old now. How old is Saanvi now?
- 28.5 years ago, Sneha’s mother was three times as old as Sneha. The mother is 26 years old now. How old is Sneha now?
- 29.3 years ago, Sneha’s mother was three times as old as Sneha. The mother is 30 years old now. How old is Sneha now?
- 30.Ishaan’s father is four times as old as Ishaan. The sum of their ages is 50 years. How old is Ishaan?
- 31.In 20 years, Zoya will be three times as old as Zoya was 2 years ago. How old is Zoya now?
- 32.Diya’s father is four times as old as Diya. The sum of their ages is 50 years. How old is Diya?
- 33.3 years ago, Dev’s mother was twice as old as Dev. The mother is 25 years old now. How old is Dev now?
- 34.2 years ago, Rohan’s mother was three times as old as Rohan. The mother is 17 years old now. How old is Rohan now?
- 35.Pooja’s father is twice as old as Pooja. The sum of their ages is 18 years. How old is Pooja?
- 36.Sneha is 2 years older than Kabir. In 10 years, the sum of their ages will be 42. How old is Kabir now?
- 37.Ishaan is 3 years older than Zoya. In 2 years, the sum of their ages will be 21. How old is Zoya now?
- 38.Diya’s father is five times as old as Diya. The sum of their ages is 78 years. How old is the father?
- 39.In 7 years, Vivaan will be three times as old as Vivaan was 3 years ago. How old is Vivaan now?
- 40.Rahul’s father is four times as old as Rahul. The sum of their ages is 35 years. How old is the father?
Answer key
- 30
- 30
- 11
- 8
- 20
- 15
- 14
- 10
- 7
- 24
- 12
- 16
- 35
- 7
- 12
- 9
- 10
- 16
- 56
- 22
- 11
- 25
- 8
- 12
- 16
- 14
- 6
- 12
- 12
- 10
- 13
- 10
- 14
- 7
- 6
- 10
- 7
- 65
- 8
- 28
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