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.Diya’s father is three times as old as Diya. The sum of their ages is 60 years. How old is the father?
- 2.Vivaan’s father is five times as old as Vivaan. The sum of their ages is 54 years. How old is Vivaan?
- 3.In 15 years, Tara will be twice as old as Tara was 3 years ago. How old is Tara now?
- 4.Meera’s father is three times as old as Meera. The sum of their ages is 40 years. How old is the father?
- 5.Ishaan is 5 years older than Rohan. In 5 years, the sum of their ages will be 35. How old is Rohan now?
- 6.Arjun is 7 years older than Pooja. In 10 years, the sum of their ages will be 61. How old is Pooja now?
- 7.Nisha’s father is four times as old as Nisha. The sum of their ages is 35 years. How old is Nisha?
- 8.In 27 years, Nisha will be twice as old as Nisha was 3 years ago. How old is Nisha now?
- 9.Rohan is 6 years older than Ananya. In 8 years, the sum of their ages will be 74. How old is Ananya now?
- 10.Rahul is 10 years older than Meera. In 7 years, the sum of their ages will be 76. How old is Meera now?
- 11.Ananya is 10 years older than Kavya. In 4 years, the sum of their ages will be 74. How old is Kavya now?
- 12.3 years ago, Kabir’s mother was three times as old as Kabir. The mother is 33 years old now. How old is Kabir now?
- 13.Isha is 6 years older than Farhan. In 10 years, the sum of their ages will be 40. How old is Farhan now?
- 14.3 years ago, Arjun’s mother was three times as old as Arjun. The mother is 24 years old now. How old is Arjun now?
- 15.Pooja’s father is three times as old as Pooja. The sum of their ages is 28 years. How old is Pooja?
- 16.2 years ago, Diya’s mother was twice as old as Diya. The mother is 12 years old now. How old is Diya now?
- 17.Ishaan is 10 years older than Dev. In 2 years, the sum of their ages will be 34. How old is Dev now?
- 18.7 years ago, Rohan’s mother was twice as old as Rohan. The mother is 13 years old now. How old is Rohan now?
- 19.Saanvi is 6 years older than Arjun. In 5 years, the sum of their ages will be 36. How old is Arjun now?
- 20.Kabir’s father is twice as old as Kabir. The sum of their ages is 30 years. How old is the father?
- 21.7 years ago, Manav’s mother was twice as old as Manav. The mother is 17 years old now. How old is Manav now?
- 22.3 years ago, Nisha’s mother was three times as old as Nisha. The mother is 30 years old now. How old is Nisha now?
- 23.In 3 years, Aditya will be twice as old as Aditya was 4 years ago. How old is Aditya now?
- 24.Pooja’s father is five times as old as Pooja. The sum of their ages is 36 years. How old is the father?
- 25.Sneha is 6 years older than Kabir. In 7 years, the sum of their ages will be 72. How old is Kabir now?
- 26.Aarav’s father is twice as old as Aarav. The sum of their ages is 33 years. How old is Aarav?
- 27.Priya’s father is twice as old as Priya. The sum of their ages is 42 years. How old is Priya?
- 28.3 years ago, Priya’s mother was twice as old as Priya. The mother is 21 years old now. How old is Priya now?
- 29.4 years ago, Saanvi’s mother was four times as old as Saanvi. The mother is 32 years old now. How old is Saanvi now?
- 30.5 years ago, Zoya’s mother was three times as old as Zoya. The mother is 32 years old now. How old is Zoya now?
- 31.Tara’s father is four times as old as Tara. The sum of their ages is 35 years. How old is the father?
- 32.Vivaan’s father is four times as old as Vivaan. The sum of their ages is 55 years. How old is Vivaan?
- 33.Nisha’s father is five times as old as Nisha. The sum of their ages is 78 years. How old is Nisha?
- 34.In 2 years, Sneha will be twice as old as Sneha was 6 years ago. How old is Sneha now?
- 35.Kabir’s father is three times as old as Kabir. The sum of their ages is 56 years. How old is the father?
- 36.Zoya’s father is three times as old as Zoya. The sum of their ages is 36 years. How old is the father?
- 37.8 years ago, Tara’s mother was four times as old as Tara. The mother is 28 years old now. How old is Tara now?
- 38.2 years ago, Rahul’s mother was three times as old as Rahul. The mother is 14 years old now. How old is Rahul now?
- 39.Vivaan is 2 years older than Nisha. In 4 years, the sum of their ages will be 70. How old is Nisha now?
- 40.Aarav is 9 years older than Vivaan. In 10 years, the sum of their ages will be 75. How old is Vivaan now?
Answer key
- 45
- 9
- 21
- 30
- 10
- 17
- 7
- 33
- 26
- 26
- 28
- 13
- 7
- 10
- 7
- 7
- 10
- 10
- 10
- 20
- 12
- 12
- 11
- 30
- 26
- 11
- 14
- 12
- 11
- 14
- 28
- 11
- 13
- 14
- 42
- 27
- 13
- 6
- 30
- 23
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