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’s father is four times as old as Aditya. The sum of their ages is 75 years. How old is Aditya?
- 2.7 years ago, Karan’s mother was twice as old as Karan. The mother is 27 years old now. How old is Karan now?
- 3.In 22 years, Arjun will be twice as old as Arjun was 2 years ago. How old is Arjun now?
- 4.Farhan is 2 years older than Zoya. In 6 years, the sum of their ages will be 56. How old is Zoya now?
- 5.3 years ago, Rohan’s mother was three times as old as Rohan. The mother is 36 years old now. How old is Rohan now?
- 6.In 10 years, Tara will be twice as old as Tara was 2 years ago. How old is Tara now?
- 7.Arjun is 7 years older than Saanvi. In 2 years, the sum of their ages will be 29. How old is Saanvi now?
- 8.In 30 years, Tara will be twice as old as Tara was 4 years ago. How old is Tara now?
- 9.Nisha is 3 years older than Aarav. In 2 years, the sum of their ages will be 19. How old is Aarav now?
- 10.Manav’s father is three times as old as Manav. The sum of their ages is 44 years. How old is the father?
- 11.6 years ago, Kabir’s mother was twice as old as Kabir. The mother is 28 years old now. How old is Kabir now?
- 12.Dev’s father is three times as old as Dev. The sum of their ages is 44 years. How old is the father?
- 13.2 years ago, Saanvi’s mother was four times as old as Saanvi. The mother is 26 years old now. How old is Saanvi now?
- 14.Priya’s father is five times as old as Priya. The sum of their ages is 66 years. How old is the father?
- 15.Tara’s father is three times as old as Tara. The sum of their ages is 48 years. How old is the father?
- 16.Arjun’s father is three times as old as Arjun. The sum of their ages is 36 years. How old is the father?
- 17.6 years ago, Zoya’s mother was twice as old as Zoya. The mother is 12 years old now. How old is Zoya now?
- 18.Priya’s father is five times as old as Priya. The sum of their ages is 90 years. How old is Priya?
- 19.Isha’s father is four times as old as Isha. The sum of their ages is 75 years. How old is Isha?
- 20.6 years ago, Priya’s mother was twice as old as Priya. The mother is 30 years old now. How old is Priya now?
- 21.In 13 years, Pooja will be twice as old as Pooja was 6 years ago. How old is Pooja now?
- 22.Meera’s father is five times as old as Meera. The sum of their ages is 66 years. How old is Meera?
- 23.Manav’s father is four times as old as Manav. The sum of their ages is 40 years. How old is the father?
- 24.Rahul’s father is four times as old as Rahul. The sum of their ages is 50 years. How old is Rahul?
- 25.Aarav is 6 years older than Zoya. In 8 years, the sum of their ages will be 36. How old is Zoya now?
- 26.Ishaan’s father is three times as old as Ishaan. The sum of their ages is 52 years. How old is the father?
- 27.Ananya’s father is three times as old as Ananya. The sum of their ages is 32 years. How old is the father?
- 28.Isha’s father is four times as old as Isha. The sum of their ages is 45 years. How old is the father?
- 29.4 years ago, Arjun’s mother was three times as old as Arjun. The mother is 37 years old now. How old is Arjun now?
- 30.2 years ago, Rahul’s mother was twice as old as Rahul. The mother is 22 years old now. How old is Rahul now?
- 31.6 years ago, Ishaan’s mother was twice as old as Ishaan. The mother is 12 years old now. How old is Ishaan now?
- 32.In 21 years, Farhan will be three times as old as Farhan was 3 years ago. How old is Farhan now?
- 33.Diya’s father is four times as old as Diya. The sum of their ages is 75 years. How old is Diya?
- 34.In 28 years, Manav will be twice as old as Manav was 5 years ago. How old is Manav now?
- 35.Pooja’s father is twice as old as Pooja. The sum of their ages is 39 years. How old is Pooja?
- 36.Ananya’s father is twice as old as Ananya. The sum of their ages is 18 years. How old is Ananya?
- 37.3 years ago, Isha’s mother was twice as old as Isha. The mother is 27 years old now. How old is Isha now?
- 38.In 18 years, Karan will be twice as old as Karan was 4 years ago. How old is Karan now?
- 39.Manav is 9 years older than Nisha. In 2 years, the sum of their ages will be 37. How old is Nisha now?
- 40.In 20 years, Ishaan will be three times as old as Ishaan was 2 years ago. How old is Ishaan now?
Answer key
- 15
- 17
- 26
- 21
- 14
- 14
- 9
- 38
- 6
- 33
- 17
- 33
- 8
- 55
- 36
- 27
- 9
- 15
- 15
- 18
- 25
- 11
- 32
- 10
- 7
- 39
- 24
- 36
- 15
- 12
- 9
- 15
- 15
- 38
- 13
- 6
- 15
- 26
- 12
- 13
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