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.Ishaan is 3 years older than Vivaan. In 10 years, the sum of their ages will be 59. How old is Vivaan now?
- 2.7 years ago, Ishaan’s mother was three times as old as Ishaan. The mother is 37 years old now. How old is Ishaan now?
- 3.9 years ago, Arjun’s mother was four times as old as Arjun. The mother is 25 years old now. How old is Arjun now?
- 4.Diya’s father is three times as old as Diya. The sum of their ages is 60 years. How old is the father?
- 5.3 years ago, Arjun’s mother was twice as old as Arjun. The mother is 25 years old now. How old is Arjun now?
- 6.Aarav’s father is twice as old as Aarav. The sum of their ages is 33 years. How old is Aarav?
- 7.In 3 years, Aditya will be twice as old as Aditya was 5 years ago. How old is Aditya now?
- 8.8 years ago, Diya’s mother was three times as old as Diya. The mother is 44 years old now. How old is Diya now?
- 9.4 years ago, Meera’s mother was twice as old as Meera. The mother is 16 years old now. How old is Meera now?
- 10.3 years ago, Farhan’s mother was three times as old as Farhan. The mother is 30 years old now. How old is Farhan now?
- 11.In 1 years, Diya will be twice as old as Diya was 5 years ago. How old is Diya now?
- 12.In 27 years, Dev will be twice as old as Dev was 2 years ago. How old is Dev now?
- 13.Manav is 10 years older than Rohan. In 2 years, the sum of their ages will be 34. How old is Rohan now?
- 14.8 years ago, Dev’s mother was twice as old as Dev. The mother is 30 years old now. How old is Dev now?
- 15.Vivaan is 9 years older than Tara. In 6 years, the sum of their ages will be 73. How old is Tara now?
- 16.Arjun is 9 years older than Tara. In 6 years, the sum of their ages will be 35. How old is Tara now?
- 17.Rohan is 10 years older than Aditya. In 3 years, the sum of their ages will be 62. How old is Aditya now?
- 18.Sneha’s father is four times as old as Sneha. The sum of their ages is 50 years. How old is Sneha?
- 19.5 years ago, Rahul’s mother was twice as old as Rahul. The mother is 29 years old now. How old is Rahul now?
- 20.5 years ago, Saanvi’s mother was three times as old as Saanvi. The mother is 32 years old now. How old is Saanvi now?
- 21.In 19 years, Manav will be twice as old as Manav was 6 years ago. How old is Manav now?
- 22.6 years ago, Aarav’s mother was twice as old as Aarav. The mother is 20 years old now. How old is Aarav now?
- 23.7 years ago, Aarav’s mother was three times as old as Aarav. The mother is 16 years old now. How old is Aarav now?
- 24.4 years ago, Meera’s mother was twice as old as Meera. The mother is 22 years old now. How old is Meera now?
- 25.9 years ago, Saanvi’s mother was twice as old as Saanvi. The mother is 27 years old now. How old is Saanvi now?
- 26.Ishaan’s father is four times as old as Ishaan. The sum of their ages is 40 years. How old is Ishaan?
- 27.In 30 years, Tara will be three times as old as Tara was 4 years ago. How old is Tara now?
- 28.3 years ago, Nisha’s mother was four times as old as Nisha. The mother is 15 years old now. How old is Nisha now?
- 29.2 years ago, Rahul’s mother was three times as old as Rahul. The mother is 29 years old now. How old is Rahul now?
- 30.Isha’s father is three times as old as Isha. The sum of their ages is 24 years. How old is Isha?
- 31.Aarav’s father is five times as old as Aarav. The sum of their ages is 84 years. How old is Aarav?
- 32.Arjun is 7 years older than Aditya. In 4 years, the sum of their ages will be 27. How old is Aditya now?
- 33.Aarav is 4 years older than Kabir. In 2 years, the sum of their ages will be 44. How old is Kabir now?
- 34.In 3 years, Manav will be twice as old as Manav was 4 years ago. How old is Manav now?
- 35.In 13 years, Kabir will be three times as old as Kabir was 5 years ago. How old is Kabir now?
- 36.Ishaan is 5 years older than Kabir. In 3 years, the sum of their ages will be 21. How old is Kabir now?
- 37.In 30 years, Diya will be three times as old as Diya was 2 years ago. How old is Diya now?
- 38.In 20 years, Aarav will be twice as old as Aarav was 4 years ago. How old is Aarav now?
- 39.In 12 years, Aditya will be twice as old as Aditya was 4 years ago. How old is Aditya now?
- 40.3 years ago, Sneha’s mother was three times as old as Sneha. The mother is 18 years old now. How old is Sneha now?
Answer key
- 18
- 17
- 13
- 45
- 14
- 11
- 13
- 20
- 10
- 12
- 11
- 31
- 10
- 19
- 26
- 7
- 23
- 10
- 17
- 14
- 31
- 13
- 10
- 13
- 18
- 8
- 21
- 6
- 11
- 6
- 14
- 6
- 18
- 11
- 14
- 5
- 18
- 28
- 20
- 8
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