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.Ananya’s father is three times as old as Ananya. The sum of their ages is 56 years. How old is Ananya?
- 2.In 14 years, Aarav will be three times as old as Aarav was 6 years ago. How old is Aarav now?
- 3.In 9 years, Meera will be three times as old as Meera was 3 years ago. How old is Meera now?
- 4.In 17 years, Meera will be twice as old as Meera was 6 years ago. How old is Meera now?
- 5.5 years ago, Rohan’s mother was four times as old as Rohan. The mother is 33 years old now. How old is Rohan now?
- 6.7 years ago, Manav’s mother was twice as old as Manav. The mother is 23 years old now. How old is Manav now?
- 7.In 29 years, Pooja will be three times as old as Pooja was 3 years ago. How old is Pooja now?
- 8.Diya’s father is twice as old as Diya. The sum of their ages is 15 years. How old is the father?
- 9.Ishaan is 8 years older than Dev. In 6 years, the sum of their ages will be 46. How old is Dev now?
- 10.In 25 years, Karan will be twice as old as Karan was 3 years ago. How old is Karan now?
- 11.In 28 years, Kavya will be twice as old as Kavya was 5 years ago. How old is Kavya now?
- 12.6 years ago, Ananya’s mother was three times as old as Ananya. The mother is 30 years old now. How old is Ananya now?
- 13.Arjun’s father is four times as old as Arjun. The sum of their ages is 45 years. How old is the father?
- 14.Arjun’s father is four times as old as Arjun. The sum of their ages is 25 years. How old is the father?
- 15.Arjun’s father is five times as old as Arjun. The sum of their ages is 36 years. How old is the father?
- 16.Ishaan’s father is three times as old as Ishaan. The sum of their ages is 44 years. How old is Ishaan?
- 17.3 years ago, Saanvi’s mother was twice as old as Saanvi. The mother is 15 years old now. How old is Saanvi now?
- 18.9 years ago, Aarav’s mother was three times as old as Aarav. The mother is 36 years old now. How old is Aarav now?
- 19.Kavya’s father is three times as old as Kavya. The sum of their ages is 48 years. How old is the father?
- 20.Dev’s father is twice as old as Dev. The sum of their ages is 21 years. How old is Dev?
- 21.Diya is 6 years older than Vivaan. In 3 years, the sum of their ages will be 34. How old is Vivaan now?
- 22.8 years ago, Kabir’s mother was three times as old as Kabir. The mother is 20 years old now. How old is Kabir now?
- 23.Farhan is 3 years older than Ishaan. In 4 years, the sum of their ages will be 69. How old is Ishaan now?
- 24.Saanvi’s father is twice as old as Saanvi. The sum of their ages is 30 years. How old is the father?
- 25.Pooja is 2 years older than Saanvi. In 10 years, the sum of their ages will be 46. How old is Saanvi now?
- 26.In 30 years, Nisha will be twice as old as Nisha was 4 years ago. How old is Nisha now?
- 27.Nisha’s father is twice as old as Nisha. The sum of their ages is 45 years. How old is the father?
- 28.Dev’s father is three times as old as Dev. The sum of their ages is 32 years. How old is the father?
- 29.Diya’s father is twice as old as Diya. The sum of their ages is 27 years. How old is Diya?
- 30.Ananya’s father is four times as old as Ananya. The sum of their ages is 50 years. How old is Ananya?
- 31.In 12 years, Saanvi will be three times as old as Saanvi was 2 years ago. How old is Saanvi now?
- 32.Vivaan is 9 years older than Ishaan. In 9 years, the sum of their ages will be 65. How old is Ishaan now?
- 33.In 25 years, Ananya will be twice as old as Ananya was 2 years ago. How old is Ananya now?
- 34.4 years ago, Diya’s mother was four times as old as Diya. The mother is 36 years old now. How old is Diya now?
- 35.6 years ago, Meera’s mother was twice as old as Meera. The mother is 28 years old now. How old is Meera now?
- 36.6 years ago, Ishaan’s mother was twice as old as Ishaan. The mother is 30 years old now. How old is Ishaan now?
- 37.Diya’s father is three times as old as Diya. The sum of their ages is 40 years. How old is the father?
- 38.3 years ago, Dev’s mother was four times as old as Dev. The mother is 23 years old now. How old is Dev now?
- 39.In 25 years, Dev will be three times as old as Dev was 5 years ago. How old is Dev now?
- 40.In 14 years, Rohan will be twice as old as Rohan was 2 years ago. How old is Rohan now?
Answer key
- 14
- 16
- 9
- 29
- 12
- 15
- 19
- 10
- 13
- 31
- 38
- 14
- 36
- 20
- 30
- 11
- 9
- 18
- 36
- 7
- 11
- 12
- 29
- 20
- 12
- 38
- 30
- 24
- 9
- 10
- 9
- 19
- 29
- 12
- 17
- 18
- 30
- 8
- 20
- 18
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