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.Zoya’s father is twice as old as Zoya. The sum of their ages is 45 years. How old is the father?
- 2.Priya is 6 years older than Pooja. In 3 years, the sum of their ages will be 50. How old is Pooja now?
- 3.In 11 years, Tara will be twice as old as Tara was 2 years ago. How old is Tara now?
- 4.Priya is 7 years older than Rahul. In 6 years, the sum of their ages will be 77. How old is Rahul now?
- 5.Meera is 2 years older than Arjun. In 6 years, the sum of their ages will be 46. How old is Arjun now?
- 6.Rohan’s father is five times as old as Rohan. The sum of their ages is 72 years. How old is Rohan?
- 7.Arjun’s father is three times as old as Arjun. The sum of their ages is 44 years. How old is Arjun?
- 8.4 years ago, Rahul’s mother was three times as old as Rahul. The mother is 31 years old now. How old is Rahul now?
- 9.Saanvi is 6 years older than Arjun. In 5 years, the sum of their ages will be 34. How old is Arjun now?
- 10.4 years ago, Rahul’s mother was twice as old as Rahul. The mother is 28 years old now. How old is Rahul now?
- 11.Vivaan’s father is four times as old as Vivaan. The sum of their ages is 65 years. How old is Vivaan?
- 12.In 3 years, Meera will be three times as old as Meera was 5 years ago. How old is Meera now?
- 13.Aarav’s father is twice as old as Aarav. The sum of their ages is 36 years. How old is Aarav?
- 14.Karan is 6 years older than Priya. In 6 years, the sum of their ages will be 48. How old is Priya now?
- 15.In 21 years, Dev will be twice as old as Dev was 6 years ago. How old is Dev now?
- 16.Meera’s father is twice as old as Meera. The sum of their ages is 33 years. How old is the father?
- 17.Meera’s father is twice as old as Meera. The sum of their ages is 24 years. How old is Meera?
- 18.Vivaan’s father is twice as old as Vivaan. The sum of their ages is 42 years. How old is Vivaan?
- 19.Nisha’s father is twice as old as Nisha. The sum of their ages is 15 years. How old is the father?
- 20.Aarav is 7 years older than Diya. In 2 years, the sum of their ages will be 21. How old is Diya now?
- 21.7 years ago, Isha’s mother was four times as old as Isha. The mother is 51 years old now. How old is Isha now?
- 22.Kabir’s father is three times as old as Kabir. The sum of their ages is 20 years. How old is the father?
- 23.Dev’s father is twice as old as Dev. The sum of their ages is 27 years. How old is Dev?
- 24.Arjun is 7 years older than Zoya. In 9 years, the sum of their ages will be 35. How old is Zoya now?
- 25.Tara is 5 years older than Meera. In 4 years, the sum of their ages will be 59. How old is Meera now?
- 26.Vivaan is 2 years older than Diya. In 8 years, the sum of their ages will be 76. How old is Diya now?
- 27.Rahul’s father is four times as old as Rahul. The sum of their ages is 65 years. How old is Rahul?
- 28.Sneha’s father is twice as old as Sneha. The sum of their ages is 42 years. How old is Sneha?
- 29.8 years ago, Vivaan’s mother was three times as old as Vivaan. The mother is 17 years old now. How old is Vivaan now?
- 30.In 9 years, Arjun will be three times as old as Arjun was 3 years ago. How old is Arjun now?
- 31.Ananya’s father is five times as old as Ananya. The sum of their ages is 90 years. How old is Ananya?
- 32.Manav is 4 years older than Dev. In 2 years, the sum of their ages will be 28. How old is Dev now?
- 33.Tara is 2 years older than Farhan. In 7 years, the sum of their ages will be 72. How old is Farhan now?
- 34.9 years ago, Nisha’s mother was four times as old as Nisha. The mother is 53 years old now. How old is Nisha now?
- 35.7 years ago, Aarav’s mother was twice as old as Aarav. The mother is 13 years old now. How old is Aarav now?
- 36.In 3 years, Kabir will be twice as old as Kabir was 6 years ago. How old is Kabir now?
- 37.5 years ago, Manav’s mother was twice as old as Manav. The mother is 15 years old now. How old is Manav now?
- 38.Farhan’s father is twice as old as Farhan. The sum of their ages is 21 years. How old is Farhan?
- 39.In 10 years, Pooja will be twice as old as Pooja was 2 years ago. How old is Pooja now?
- 40.Manav’s father is five times as old as Manav. The sum of their ages is 84 years. How old is the father?
Answer key
- 30
- 19
- 15
- 29
- 16
- 12
- 11
- 13
- 9
- 16
- 13
- 9
- 12
- 15
- 33
- 22
- 8
- 14
- 10
- 5
- 18
- 15
- 9
- 5
- 23
- 29
- 13
- 14
- 11
- 9
- 15
- 10
- 28
- 20
- 10
- 15
- 10
- 7
- 14
- 70
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