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.Tara’s father is four times as old as Tara. The sum of their ages is 75 years. How old is Tara?
- 2.Ananya’s father is three times as old as Ananya. The sum of their ages is 40 years. How old is the father?
- 3.Ananya’s father is four times as old as Ananya. The sum of their ages is 75 years. How old is the father?
- 4.Pooja is 3 years older than Tara. In 10 years, the sum of their ages will be 45. How old is Tara now?
- 5.Pooja’s father is four times as old as Pooja. The sum of their ages is 70 years. How old is Pooja?
- 6.In 8 years, Kabir will be twice as old as Kabir was 3 years ago. How old is Kabir now?
- 7.Dev’s father is five times as old as Dev. The sum of their ages is 72 years. How old is Dev?
- 8.In 12 years, Tara will be three times as old as Tara was 2 years ago. How old is Tara now?
- 9.In 29 years, Ishaan will be three times as old as Ishaan was 3 years ago. How old is Ishaan now?
- 10.2 years ago, Isha’s mother was four times as old as Isha. The mother is 46 years old now. How old is Isha now?
- 11.Pooja is 8 years older than Priya. In 3 years, the sum of their ages will be 48. How old is Priya now?
- 12.In 18 years, Tara will be twice as old as Tara was 6 years ago. How old is Tara now?
- 13.Kabir is 8 years older than Arjun. In 7 years, the sum of their ages will be 44. How old is Arjun now?
- 14.In 21 years, Dev will be twice as old as Dev was 6 years ago. How old is Dev now?
- 15.Pooja is 10 years older than Kabir. In 9 years, the sum of their ages will be 82. How old is Kabir now?
- 16.Priya’s father is four times as old as Priya. The sum of their ages is 55 years. How old is Priya?
- 17.Ishaan is 6 years older than Pooja. In 3 years, the sum of their ages will be 32. How old is Pooja now?
- 18.10 years ago, Karan’s mother was twice as old as Karan. The mother is 16 years old now. How old is Karan now?
- 19.2 years ago, Karan’s mother was three times as old as Karan. The mother is 35 years old now. How old is Karan now?
- 20.Priya’s father is five times as old as Priya. The sum of their ages is 66 years. How old is Priya?
- 21.In 8 years, Dev will be twice as old as Dev was 2 years ago. How old is Dev now?
- 22.In 28 years, Nisha will be twice as old as Nisha was 3 years ago. How old is Nisha now?
- 23.Nisha is 2 years older than Diya. In 5 years, the sum of their ages will be 40. How old is Diya now?
- 24.5 years ago, Aarav’s mother was twice as old as Aarav. The mother is 11 years old now. How old is Aarav now?
- 25.9 years ago, Arjun’s mother was twice as old as Arjun. The mother is 31 years old now. How old is Arjun now?
- 26.Priya is 7 years older than Vivaan. In 3 years, the sum of their ages will be 37. How old is Vivaan now?
- 27.Priya is 4 years older than Saanvi. In 6 years, the sum of their ages will be 62. How old is Saanvi now?
- 28.Priya’s father is five times as old as Priya. The sum of their ages is 48 years. How old is Priya?
- 29.2 years ago, Karan’s mother was four times as old as Karan. The mother is 46 years old now. How old is Karan now?
- 30.In 5 years, Ishaan will be twice as old as Ishaan was 4 years ago. How old is Ishaan now?
- 31.Nisha’s father is twice as old as Nisha. The sum of their ages is 36 years. How old is Nisha?
- 32.Dev is 7 years older than Karan. In 7 years, the sum of their ages will be 53. How old is Karan now?
- 33.2 years ago, Arjun’s mother was four times as old as Arjun. The mother is 30 years old now. How old is Arjun now?
- 34.Rahul’s father is twice as old as Rahul. The sum of their ages is 42 years. How old is the father?
- 35.Vivaan is 7 years older than Priya. In 2 years, the sum of their ages will be 69. How old is Priya now?
- 36.4 years ago, Vivaan’s mother was three times as old as Vivaan. The mother is 28 years old now. How old is Vivaan now?
- 37.Ananya’s father is three times as old as Ananya. The sum of their ages is 28 years. How old is the father?
- 38.Tara’s father is three times as old as Tara. The sum of their ages is 20 years. How old is the father?
- 39.In 2 years, Zoya will be twice as old as Zoya was 4 years ago. How old is Zoya now?
- 40.In 15 years, Rahul will be twice as old as Rahul was 2 years ago. How old is Rahul now?
Answer key
- 15
- 30
- 60
- 11
- 14
- 14
- 12
- 9
- 19
- 13
- 17
- 30
- 11
- 33
- 27
- 11
- 10
- 13
- 13
- 11
- 12
- 34
- 14
- 8
- 20
- 12
- 23
- 8
- 13
- 13
- 12
- 16
- 9
- 28
- 29
- 12
- 21
- 15
- 10
- 19
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