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
- 1.8 years ago, Tara’s mother was three times as old as Tara. The mother is 20 years old now. How old is Tara now?
- 2.In 8 years, Ananya will be twice as old as Ananya was 2 years ago. How old is Ananya now?
- 3.In 7 years, Diya will be twice as old as Diya was 4 years ago. How old is Diya now?
- 4.3 years ago, Kavya’s mother was three times as old as Kavya. The mother is 21 years old now. How old is Kavya now?
- 5.In 3 years, Tara will be twice as old as Tara was 3 years ago. How old is Tara now?
- 6.7 years ago, Sneha’s mother was four times as old as Sneha. The mother is 27 years old now. How old is Sneha now?
- 7.Zoya’s father is three times as old as Zoya. The sum of their ages is 48 years. How old is the father?
- 8.In 24 years, Manav will be twice as old as Manav was 5 years ago. How old is Manav now?
- 9.Aditya is 5 years older than Karan. In 4 years, the sum of their ages will be 63. How old is Karan now?
- 10.Arjun is 3 years older than Nisha. In 7 years, the sum of their ages will be 73. How old is Nisha now?
- 11.3 years ago, Ishaan’s mother was three times as old as Ishaan. The mother is 18 years old now. How old is Ishaan now?
- 12.Isha’s father is four times as old as Isha. The sum of their ages is 75 years. How old is Isha?
- 13.Rohan’s father is five times as old as Rohan. The sum of their ages is 42 years. How old is the father?
- 14.In 7 years, Diya will be three times as old as Diya was 3 years ago. How old is Diya now?
- 15.In 12 years, Meera will be three times as old as Meera was 2 years ago. How old is Meera now?
- 16.In 10 years, Kabir will be twice as old as Kabir was 6 years ago. How old is Kabir now?
- 17.In 21 years, Arjun will be twice as old as Arjun was 2 years ago. How old is Arjun now?
- 18.In 22 years, Aarav will be twice as old as Aarav was 2 years ago. How old is Aarav now?
- 19.5 years ago, Kabir’s mother was twice as old as Kabir. The mother is 29 years old now. How old is Kabir now?
- 20.5 years ago, Arjun’s mother was three times as old as Arjun. The mother is 32 years old now. How old is Arjun now?
- 21.Kabir is 6 years older than Rahul. In 7 years, the sum of their ages will be 72. How old is Rahul now?
- 22.3 years ago, Isha’s mother was twice as old as Isha. The mother is 27 years old now. How old is Isha now?
- 23.Diya is 7 years older than Sneha. In 10 years, the sum of their ages will be 65. How old is Sneha now?
- 24.Saanvi is 9 years older than Arjun. In 8 years, the sum of their ages will be 67. How old is Arjun now?
- 25.3 years ago, Farhan’s mother was twice as old as Farhan. The mother is 23 years old now. How old is Farhan now?
- 26.Vivaan is 7 years older than Aarav. In 4 years, the sum of their ages will be 25. How old is Aarav now?
- 27.In 24 years, Aditya will be twice as old as Aditya was 5 years ago. How old is Aditya now?
- 28.Meera is 3 years older than Karan. In 8 years, the sum of their ages will be 55. How old is Karan now?
- 29.4 years ago, Rahul’s mother was four times as old as Rahul. The mother is 16 years old now. How old is Rahul now?
- 30.Priya’s father is five times as old as Priya. The sum of their ages is 78 years. How old is the father?
- 31.In 10 years, Arjun will be three times as old as Arjun was 6 years ago. How old is Arjun now?
- 32.Pooja’s father is twice as old as Pooja. The sum of their ages is 21 years. How old is the father?
- 33.In 10 years, Manav will be twice as old as Manav was 4 years ago. How old is Manav now?
- 34.Saanvi’s father is five times as old as Saanvi. The sum of their ages is 72 years. How old is Saanvi?
- 35.7 years ago, Farhan’s mother was three times as old as Farhan. The mother is 40 years old now. How old is Farhan now?
- 36.Tara’s father is five times as old as Tara. The sum of their ages is 72 years. How old is Tara?
- 37.Isha’s father is twice as old as Isha. The sum of their ages is 33 years. How old is Isha?
- 38.Nisha’s father is three times as old as Nisha. The sum of their ages is 24 years. How old is Nisha?
- 39.Isha’s father is four times as old as Isha. The sum of their ages is 35 years. How old is Isha?
- 40.In 8 years, Pooja will be twice as old as Pooja was 6 years ago. How old is Pooja now?
Answer key
- 12
- 12
- 15
- 9
- 9
- 12
- 36
- 34
- 25
- 28
- 8
- 15
- 35
- 8
- 9
- 22
- 25
- 26
- 17
- 14
- 26
- 15
- 19
- 21
- 13
- 5
- 34
- 18
- 7
- 65
- 14
- 14
- 18
- 12
- 18
- 12
- 11
- 6
- 7
- 20
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