Age-Based Puzzles - Intermediate Level: age comparison
INTERMEDIATE
Master age-based puzzles concepts through this excellence pursuit practice set. Worksheet 16 of 30 contains 20 intermediate-level problems. Deep dive into age comparison while learning age puzzles, relative ages, age constraints. Recommended for mid-level learners aiming for moderate complexity with mixed patterns.
Master age puzzles through focused age comparison practice
Learn relative ages with intermediate-level examples
Build speed in solving age-based puzzles using excellence pursuit techniques
Understand common patterns in age constraints
Apply logical thinking to age comparison scenarios
Your progress through Age-Based Puzzles
Worksheet 16 of 30 (53% complete)
Question 1
The sum of ages of Lillian, Pankaj, and Anu is 40. Their ages are in the ratio 3:3:2. How old is Pankaj?
Sum of ratios = 3 + 3 + 2 = 8 Each unit = 40 ÷ 8 = 5 Pankaj's ratio = 3 Age = 3 × 5 = 15
Question 2
The product of the ages of Kiran, Priya, and Lucy is 900. The eldest is 3 times the youngest, and the middle child's age is between them. Find the age of the eldest.
Let youngest = x, then eldest = 3x Then middle = 900 ÷ (x × 3x) = 900 ÷ (3x²) Testing x = 5: middle = 900 ÷ (3 × 5²) = 12 Therefore, eldest = 15
Question 3
Damian is 16 years old in 2023. In what year was Damian born?
2023 - 16 = 2007
Question 4
If Siddharth were 9 years younger, she would be 4/9 of Clara's age 5 years from now. If Siddharth is 9 years younger than Clara, find Siddharth's present age.
Let Clara = 45, then Siddharth = 36 Check: (36 - 9) = 4/9 × (45 + 5) 27 = 4/9 × 50 ✓
Question 5
If Evan were 10 years younger, she would be 1/2 of Kinsley's age 6 years from now. If Evan is 30 years younger than Kinsley, find Evan's present age.
Gabriella is 36 years older than Sudhir and is now 52 years old. How old was Gabriella 10 years ago?
Current age of Gabriella = 52 10 years ago = 52 - 10 = 42
Question 7
In a family, Vaibhav is the parent of Prithvi, and Valentina is the grandparent.
Vaibhav is 2 times as old as Prithvi, and Valentina is 21 years older than Vaibhav.
What is the age of Vaibhav?
Let Prithvi (child) = 7 Then Vaibhav (parent) = 2 × 7 = 14 Then Valentina (grandparent) = 14 + 21 = 35
Question 8
Lokesh is 6 years older than Kaveri, Kaveri is 5 years older than Audrey, and the sum of their ages is 46. What is Lokesh's age?
Let Audrey = 10 Then Kaveri = 10 + 5 = 15 And Lokesh = 15 + 6 = 21 Check sum: 21 + 15 + 10 = 46 ✓
Question 9
The average age of 5 people is 28. If Nidhi (age 33) leaves and a new person joins, the average becomes 27. Find the age of the new person.
Initial total = 28 × 5 = 140 After Nidhi leaves: 140 - 33 = 107 New total = 27 × 5 = 135 New person's age = 135 - (107) = 28
Question 10
The sum of ages of Madison, Andre, and Asha is 36. Their ages are in the ratio 3:1:2. How old is Asha?
Sum of ratios = 3 + 1 + 2 = 6 Each unit = 36 ÷ 6 = 6 Asha's ratio = 2 Age = 2 × 6 = 12
Question 11
Freya is 35 years older than Clara and is now 43 years old. How old was Freya 15 years ago?
Current age of Freya = 43 15 years ago = 43 - 15 = 28
Question 12
The sum of ages of Mehul, Suresh, and Penelope is 36. Their ages are in the ratio 3:1:2. How old is Mehul?
Sum of ratios = 3 + 1 + 2 = 6 Each unit = 36 ÷ 6 = 6 Mehul's ratio = 3 Age = 3 × 6 = 18
Question 13
Tournament participants: Arianna, Shubham, Sanjit, Dev
Given the following clues:
1. Arianna is younger than Shubham
2. Shubham is younger than Sanjit
3. Sanjit is younger than Dev
4. Each person is exactly 5 years older than the person immediately younger than them.
5. Shubham is 20 years old.
Determine Sanjit's age.
Step 1: From clues 1-3, the age order from youngest to oldest is: Arianna → Shubham → Sanjit → Dev
Step 2: From clue 4, each consecutive person differs by exactly 5 years. So if youngest = x, then: Arianna=x, Shubham=x+5, Sanjit=x+10, Dev=x+15
Step 3: From clue 5, Shubham (the 2nd) = 20 Therefore, x + 5 = 20 Solving: x = 20 - 5 = 15
The product of the ages of Alex, Riley, and Sneha is 2646. The eldest is 2 times the youngest, and the middle child's age is between them. Find the age of the eldest.
Let youngest = x, then eldest = 2x Then middle = 2646 ÷ (x × 2x) = 2646 ÷ (2x²) Testing x = 9: middle = 2646 ÷ (2 × 9²) = 14 Therefore, eldest = 21
Question 15
The product of the ages of Hardik and Dinesh is 200, and the sum of their ages is 30. Find Hardik's age.
Let ages be x and y. xy = 200 x + y = 30 Solving gives x = 10, y = 20 Therefore, Hardik's age = 20
Question 16
In a family, Vasant is the parent of Nirmala, and Stefan is the grandparent.
Vasant is 2 times as old as Nirmala, and Stefan is 21 years older than Vasant.
What is the age of Vasant?
Let Nirmala (child) = 5 Then Vasant (parent) = 2 × 5 = 10 Then Stefan (grandparent) = 10 + 21 = 31
Question 17
The difference between Sarika and Urvi's ages is 64 years. In 6 years, Sarika's age will be 3 times Urvi's age. How old is Sarika now?
Let Urvi = x = 26 Then Sarika = x + 64 = 26 + 64 = 90 Check: In 6 years, Sarika+6 = 96 3 × (Urvi+6) = 3 × 32 = 96 ✓
Question 18
The sum of ages of Mansi, Hailey, and Henry is 40. Their ages are in the ratio 1:3:4. How old is Hailey?
Sum of ratios = 1 + 3 + 4 = 8 Each unit = 40 ÷ 8 = 5 Hailey's ratio = 3 Age = 3 × 5 = 15
Question 19
If Nira were 5 years younger, she would be 2/7 of Autumn's age 6 years from now. If Nira is 27 years younger than Autumn, find Nira's present age.