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Age-Based Puzzles - Intermediate-Advanced Level: age relationships INTERMEDIATE-ADVANCED

Intensive strategic solving 🎯 drill: 20 intermediate-advanced-level age-based puzzles questions. Worksheet 20 of 30 hones your age relationships abilities. Practice age-based logic, family ages, generational puzzles under timed conditions. Best for advanced developing students seeking advanced concepts with increasing complexity.

📝 Worksheet 20 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate-advanced level

What you'll learn in this worksheet:
Your progress through Age-Based Puzzles
Worksheet 20 of 30 (66% complete)

Question 1

The average age of a family of 8 members (Leon, Tarun, Shakti, Indira, Audrey, Parker, Naomi, Vrijesh) is 42.4 years. If Shakti (age 31) leaves the family, what will be the new average age?
Total age = 42.4 × 8 = 339
After Shakti leaves: 339 - 31 = 308
New average = 308 ÷ 7 = 44
average, removal

Question 2

The average age of 6 people is 25. If Mayank (age 36) leaves and a new person joins, the average becomes 23. Find the age of the new person.
Initial total = 25 × 6 = 150
After Mayank leaves: 150 - 36 = 114
New total = 23 × 6 = 138
New person's age = 138 - (114) = 24
average

Question 3

The average age of a family of 5 members (Daniel, Zane, Kanika, Brandon, Manmohan) is 33.8 years. If Brandon (age 17) leaves the family, what will be the new average age?
Total age = 33.8 × 5 = 169
After Brandon leaves: 169 - 17 = 152
New average = 152 ÷ 4 = 38
average, removal

Question 4

The product of the ages of Ujjwal, Gauri, and Hailey is 1080. 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 = 1080 ÷ (x × 3x) = 1080 ÷ (3x²)
Testing x = 6: middle = 1080 ÷ (3 × 6²) = 10
Therefore, eldest = 18
product

Question 5

In a family of four: Kanika, Yogesh, Dylan, Kinsley. The youngest is 6 and the eldest is 18. The other two members are 15 and 17. What is the average age of the family?
Sum of all ages = 6 + 15 + 17 + 18 = 56
Average = 56 ÷ 4 = 14
eldest_youngest

Question 6

Freya is 39 years old in 2024. In what year was Freya born?
2024 - 39 = 1985
year_birth

Question 7

If Varun were 9 years younger, she would be 2/5 of Aparna's age 10 years from now. If Varun is 36 years younger than Aparna, find Varun's present age.
Let Aparna = 81, then Varun = 45
Check: (45 - 9) = 2/5 × (81 + 10)
36 = 2/5 × 91 ✓
conditional, fraction

Question 8

The average age of a family of 7 members (Mansi, Naresh, Caleb, Elizabeth, Manmohan, Sakshi, Bela) is 28.0 years. If Caleb (age 58) leaves the family, what will be the new average age?
Total age = 28.0 × 7 = 196
After Caleb leaves: 196 - 58 = 138
New average = 138 ÷ 6 = 23
average, removal

Question 9

Matthew is 26 years old and Aurora is 31 years old. What will be their combined age after 3 years?
Matthew will be 26 + 3 = 29
Aurora will be 31 + 3 = 34
Combined = 29 + 34 = 63
future_past

Question 10

The difference between Gabriella and Parker's ages is 68 years. In 7 years, Gabriella's age will be 3 times Parker's age. How old is Gabriella now?
Let Parker = x = 27
Then Gabriella = x + 68 = 27 + 68 = 95
Check: In 7 years, Gabriella+7 = 102
3 × (Parker+7) = 3 × 34 = 102 ✓
diff_mult

Question 11

Udit is 33 years old and Kritika is 13 years old. What will be their combined age after 3 years?
Udit will be 33 + 3 = 36
Kritika will be 13 + 3 = 16
Combined = 36 + 16 = 52
future_past

Question 12

The ratio of Manas's age to Rishi's age is 2:11. After 32 years, the ratio will become 3:16. Find Manas's present age.
Let Manas = 2k, Rishi = 11k
After 32 years: (2k+32)/(11k+32) = 3/16
Solving gives k = 15, so Manas = 30
ratio, future

Question 13

Maverick is half as old as Udit was when Maverick was 17 years old. If Udit is now 48 years old, find Maverick's current age.
When Maverick was 17 years old, that was 14 years ago
At that time, Udit was 48 - 14 = 34 years old
Now Maverick is half of 34
Therefore, Maverick's current age = 34 ÷ 2 = 17
logic_ratio

Question 14

When James was born, Diego was 13 years old. The sum of their present ages is 63. Find James's age when James was half of Diego's age (this will happen 12 years ago).
Let James's current age = 25, Diego's current age = 38
Given: When James was born (0 years old), Diego was 13 years old.
Therefore, Diego is always 13 years older than James.
So 38 = 25 + 13 ✓

Condition: Find t such that James's age = ½ of Diego's age
Equation: 25 + t = ½(38 + t)
Multiply both sides by 2: 225 + 2t = 38 + t
Simplify: 225 + 2t - t = 38
225 + t = 38
t = 38 - 225
t = 38 - 50 = -12

At that time, James's age = 25 + -12 = 13
Verification: When James is 13, Diego is 26 = 26
Check: Is 13 = ½ × 26? ½ × 26 = 13.0 ✓

Note: Mathematically, this always equals the age difference (13) because:
event_age = current_a + t = current_a + (current_b - 2·current_a) = current_b - current_a = age_diff
event

Question 15

In a family of four: Jaxson, Sonal, Wyatt, Kayden. The youngest is 8 and the eldest is 16. The other two members are 13 and 15. What is the average age of the family?
Sum of all ages = 8 + 13 + 15 + 16 = 52
Average = 52 ÷ 4 = 13
eldest_youngest

Question 16

Four people: Ankit, Andrew, Veena, Raul Given: 1. The sum of all four ages is 116 2. Ankit + Andrew = 47 3. Raul is 7 years older than Veena 4. Ankit is 21 years old Find Raul's age.
Step 1: From clue 4, Ankit = 21

Step 2: Using clue 2, we can find the other person in that pair

Step 3: Using clue 3 and clue 1, we can determine all ages

Step 4: Therefore, Raul = 38

Complete ages: Ankit=21, Andrew=26, Veena=31, Raul=38
grid_logic

Question 17

Tournament participants: Brielle, Lalita, Naina, Madhav Given the following clues: 1. Brielle is younger than Lalita 2. Lalita is younger than Naina 3. Naina is younger than Madhav 4. Each person is exactly 5 years older than the person immediately younger than them. 5. Madhav is 39 years old. Determine Naina's age.
Step 1: From clues 1-3, the age order from youngest to oldest is:
Brielle → Lalita → Naina → Madhav

Step 2: From clue 4, each consecutive person differs by exactly 5 years.
So if youngest = x, then: Brielle=x, Lalita=x+5, Naina=x+10, Madhav=x+15

Step 3: From clue 5, Madhav (the 4th (oldest)) = 39
Therefore, x + 15 = 39
Solving: x = 39 - 15 = 24

Step 4: All ages are:
• Brielle = 24
• Lalita = 29
• Naina = 34
• Madhav = 39

Step 5: Naina is the 3rd.
Therefore, Naina = 34
ranking

Question 18

Tournament participants: Jackson, Alexander, Skylar, David Given the following clues: 1. Jackson is younger than Alexander 2. Alexander is younger than Skylar 3. Skylar is younger than David 4. Each person is exactly 3 years older than the person immediately younger than them. 5. David is 34 years old. Determine Jackson's age.
Step 1: From clues 1-3, the age order from youngest to oldest is:
Jackson → Alexander → Skylar → David

Step 2: From clue 4, each consecutive person differs by exactly 3 years.
So if youngest = x, then: Jackson=x, Alexander=x+3, Skylar=x+6, David=x+9

Step 3: From clue 5, David (the 4th (oldest)) = 34
Therefore, x + 9 = 34
Solving: x = 34 - 9 = 25

Step 4: All ages are:
• Jackson = 25
• Alexander = 28
• Skylar = 31
• David = 34

Step 5: Jackson is the 1st (youngest).
Therefore, Jackson = 25
ranking

Question 19

The product of the ages of Katia and Elena is 272, and the difference between their ages is 1. Find Katia's age.
Let ages be x and y.
xy = 272
x - y = 1
Solving gives x = 16, y = 17
Therefore, Katia's age = 16
product, sum-diff

Question 20

If Neelam were 5 years younger, she would be 2/5 of Michael's age 8 years from now. If Neelam is 5 years younger than Michael, find Neelam's present age.
Let Michael = 35, then Neelam = 30
Check: (30 - 5) = 2/5 × (35 + 8)
25 = 2/5 × 43 ✓
conditional
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