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.Aditya is 5 years older than Diya. In 7 years, the sum of their ages will be 37. How old is Diya now?
- 2.Zoya is 2 years older than Tara. In 7 years, the sum of their ages will be 32. How old is Tara now?
- 3.Vivaan is 3 years older than Aarav. In 4 years, the sum of their ages will be 53. How old is Aarav now?
- 4.Kabir’s father is three times as old as Kabir. The sum of their ages is 56 years. How old is the father?
- 5.Meera’s father is three times as old as Meera. The sum of their ages is 20 years. How old is Meera?
- 6.8 years ago, Karan’s mother was twice as old as Karan. The mother is 18 years old now. How old is Karan now?
- 7.Aditya is 8 years older than Kavya. In 4 years, the sum of their ages will be 72. How old is Kavya now?
- 8.In 26 years, Rohan will be three times as old as Rohan was 4 years ago. How old is Rohan now?
- 9.Isha is 4 years older than Rohan. In 7 years, the sum of their ages will be 76. How old is Rohan now?
- 10.8 years ago, Diya’s mother was three times as old as Diya. The mother is 20 years old now. How old is Diya now?
- 11.Pooja’s father is three times as old as Pooja. The sum of their ages is 32 years. How old is Pooja?
- 12.5 years ago, Priya’s mother was twice as old as Priya. The mother is 13 years old now. How old is Priya now?
- 13.Ananya’s father is three times as old as Ananya. The sum of their ages is 52 years. How old is Ananya?
- 14.4 years ago, Meera’s mother was twice as old as Meera. The mother is 28 years old now. How old is Meera now?
- 15.Isha’s father is four times as old as Isha. The sum of their ages is 50 years. How old is Isha?
- 16.Diya’s father is four times as old as Diya. The sum of their ages is 45 years. How old is the father?
- 17.Rohan’s father is four times as old as Rohan. The sum of their ages is 30 years. How old is the father?
- 18.In 14 years, Sneha will be three times as old as Sneha was 4 years ago. How old is Sneha now?
- 19.10 years ago, Rahul’s mother was twice as old as Rahul. The mother is 20 years old now. How old is Rahul now?
- 20.7 years ago, Diya’s mother was four times as old as Diya. The mother is 39 years old now. How old is Diya now?
- 21.Pooja is 3 years older than Aditya. In 3 years, the sum of their ages will be 49. How old is Aditya now?
- 22.Priya’s father is five times as old as Priya. The sum of their ages is 60 years. How old is the father?
- 23.In 2 years, Vivaan will be twice as old as Vivaan was 4 years ago. How old is Vivaan now?
- 24.Arjun is 8 years older than Zoya. In 5 years, the sum of their ages will be 38. How old is Zoya now?
- 25.Diya’s father is four times as old as Diya. The sum of their ages is 50 years. How old is the father?
- 26.In 4 years, Sneha will be twice as old as Sneha was 3 years ago. How old is Sneha now?
- 27.9 years ago, Aditya’s mother was twice as old as Aditya. The mother is 15 years old now. How old is Aditya now?
- 28.Rahul is 8 years older than Aarav. In 6 years, the sum of their ages will be 36. How old is Aarav now?
- 29.Pooja is 8 years older than Rohan. In 4 years, the sum of their ages will be 40. How old is Rohan now?
- 30.Tara’s father is four times as old as Tara. The sum of their ages is 45 years. How old is the father?
- 31.Pooja is 6 years older than Aditya. In 5 years, the sum of their ages will be 48. How old is Aditya now?
- 32.Priya’s father is twice as old as Priya. The sum of their ages is 42 years. How old is the father?
- 33.Aditya’s father is three times as old as Aditya. The sum of their ages is 32 years. How old is Aditya?
- 34.Aditya’s father is four times as old as Aditya. The sum of their ages is 30 years. How old is the father?
- 35.Arjun is 9 years older than Isha. In 7 years, the sum of their ages will be 83. How old is Isha now?
- 36.Manav’s father is five times as old as Manav. The sum of their ages is 90 years. How old is the father?
- 37.In 3 years, Manav will be three times as old as Manav was 5 years ago. How old is Manav now?
- 38.3 years ago, Sneha’s mother was twice as old as Sneha. The mother is 25 years old now. How old is Sneha now?
- 39.Farhan’s father is five times as old as Farhan. The sum of their ages is 42 years. How old is Farhan?
- 40.Dev’s father is three times as old as Dev. The sum of their ages is 36 years. How old is Dev?
Answer key
- 9
- 8
- 21
- 42
- 5
- 13
- 28
- 19
- 29
- 12
- 8
- 9
- 13
- 16
- 10
- 36
- 24
- 13
- 15
- 15
- 20
- 50
- 10
- 10
- 40
- 10
- 12
- 8
- 12
- 36
- 16
- 28
- 8
- 24
- 30
- 75
- 9
- 14
- 7
- 9
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