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Age-Based Puzzles - Advanced Level: age sequencing ADVANCED

Level up your age-based puzzles skills with this challenging mix. 20 advanced-level problems await in Worksheet 24 of 30. Focus area: age sequencing. Learn relative ages, age constraints, age relationships through systematic practice. Designed for advanced learners seeking complex scenarios and multi-step problems.

📝 Worksheet 24 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Advanced level

What you'll learn in this worksheet:
Your progress through Age-Based Puzzles
Worksheet 24 of 30 (80% complete)

Question 1

The product of the ages of Victor, Jude, and Nevaeh is 980. 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 = 980 ÷ (x × 2x) = 980 ÷ (2x²)
Testing x = 7: middle = 980 ÷ (2 × 7²) = 10
Therefore, eldest = 14
product

Question 2

The product of the ages of Vedika, Heidi, and Ranveer is 1188. 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 = 1188 ÷ (x × 3x) = 1188 ÷ (3x²)
Testing x = 6: middle = 1188 ÷ (3 × 6²) = 11
Therefore, eldest = 18
product

Question 3

The average age of 5 people is 26. If Krishna (age 22) leaves and a new person joins, the average becomes 30. Find the age of the new person.
Initial total = 26 × 5 = 130
After Krishna leaves: 130 - 22 = 108
New total = 30 × 5 = 150
New person's age = 150 - (108) = 42
average

Question 4

Damini is half as old as Kayden was when Damini was 18 years old. If Kayden is now 40 years old, find Damini's current age.
When Damini was 18 years old, that was 16 years ago
At that time, Kayden was 40 - 16 = 24 years old
Now Damini is half of 24
Therefore, Damini's current age = 24 ÷ 2 = 12
logic_ratio

Question 5

The product of the ages of Willow, David, and Jai is 2400. 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 = 2400 ÷ (x × 2x) = 2400 ÷ (2x²)
Testing x = 8: middle = 2400 ÷ (2 × 8²) = 15
Therefore, eldest = 20
product

Question 6

When Avinash was born, Shankar was 20 years old. The sum of their present ages is 36. Find Avinash's age when Avinash was half of Shankar's age (this will happen in 12 years).
Let Avinash's current age = 8, Shankar's current age = 28
Given: When Avinash was born (0 years old), Shankar was 20 years old.
Therefore, Shankar is always 20 years older than Avinash.
So 28 = 8 + 20 ✓

Condition: Find t such that Avinash's age = ½ of Shankar's age
Equation: 8 + t = ½(28 + t)
Multiply both sides by 2: 28 + 2t = 28 + t
Simplify: 28 + 2t - t = 28
28 + t = 28
t = 28 - 28
t = 28 - 16 = 12

At that time, Avinash's age = 8 + 12 = 20
Verification: When Avinash is 20, Shankar is 40 = 40
Check: Is 20 = ½ × 40? ½ × 40 = 20.0 ✓

Note: Mathematically, this always equals the age difference (20) because:
event_age = current_a + t = current_a + (current_b - 2·current_a) = current_b - current_a = age_diff
event

Question 7

Ella is 29 years old and Emery is 20 years old. What will be their combined age after 12 years?
Ella will be 29 + 12 = 41
Emery will be 20 + 12 = 32
Combined = 41 + 32 = 73
future_past

Question 8

If Ratna were 4 years younger, she would be 2/3 of Manjari's age 5 years from now. If Ratna is 8 years younger than Manjari, find Ratna's present age.
Let Manjari = 32, then Ratna = 24
Check: (24 - 4) = 2/3 × (32 + 5)
20 = 2/3 × 37 ✓
conditional, fraction

Question 9

Tyler is half as old as Valentina was when Tyler was 14 years old. If Valentina is now 32 years old, find Tyler's current age.
When Tyler was 14 years old, that was 6 years ago
At that time, Valentina was 32 - 6 = 26 years old
Now Tyler is half of 26
Therefore, Tyler's current age = 26 ÷ 2 = 13
logic_ratio

Question 10

In a family, Santosh is the parent of Lydia, and Dhara is the grandparent. Santosh is 3 times as old as Lydia, and Dhara is 28 years older than Santosh. What is the age of Santosh?
Let Lydia (child) = 5
Then Santosh (parent) = 3 × 5 = 15
Then Dhara (grandparent) = 15 + 28 = 43
family

Question 11

Hari is 25 years old and Sourav is 28 years old. What will be the sum of their ages after 10 years?
Current sum = 25 + 28 = 53
After 10 years, each ages by 10, so sum increases by 20
Future sum = 53 + 20 = 73
sum_future

Question 12

The average age of 6 people is 33. If Zoe (age 27) leaves and a new person joins, the average becomes 36. Find the age of the new person.
Initial total = 33 × 6 = 198
After Zoe leaves: 198 - 27 = 171
New total = 36 × 6 = 216
New person's age = 216 - (171) = 45
average

Question 13

Tournament participants: Jaideep, John, Purvi, Eleanor Given the following clues: 1. Jaideep is younger than John 2. John is younger than Purvi 3. Purvi is younger than Eleanor 4. Each person is exactly 3 years older than the person immediately younger than them. 5. John is 26 years old. Determine Jaideep's age.
Step 1: From clues 1-3, the age order from youngest to oldest is:
Jaideep → John → Purvi → Eleanor

Step 2: From clue 4, each consecutive person differs by exactly 3 years.
So if youngest = x, then: Jaideep=x, John=x+3, Purvi=x+6, Eleanor=x+9

Step 3: From clue 5, John (the 2nd) = 26
Therefore, x + 3 = 26
Solving: x = 26 - 3 = 23

Step 4: All ages are:
• Jaideep = 23
• John = 26
• Purvi = 29
• Eleanor = 32

Step 5: Jaideep is the 1st (youngest).
Therefore, Jaideep = 23
ranking

Question 14

In a family, Arlo is the parent of Ritu, and Megha is the grandparent. Arlo is 3 times as old as Ritu, and Megha is 23 years older than Arlo. What is the age of Arlo?
Let Ritu (child) = 7
Then Arlo (parent) = 3 × 7 = 21
Then Megha (grandparent) = 21 + 23 = 44
family

Question 15

Peter is 4 times as old as his son Serenity. After 7 years, the sum of their ages will be 79. How old is Serenity now?
Let son's age = x, then father's age = 4x
After 7 years: (4x+7) + (x+7) = 79
(4+1)x + 14 = 79
(5)x = 65
x = 13
fatherson

Question 16

Currently, Vinod is 4/7 of Raul's age. After 12 years, Vinod will be 2/3 of Raul's age. Find Vinod's present age.
Let Raul = x, then Vinod = 4/7x
After 12 years: 4/7x + 12 = 2/3(x + 12)
Solving gives x = 63, so Vinod = 36
fraction, time-change

Question 17

Shiva is 26 years older than Bryson and is now 37 years old. How old was Shiva 7 years ago?
Current age of Shiva = 37
7 years ago = 37 - 7 = 30
reverse

Question 18

If Aryan were 4 years younger, she would be 2/3 of Ezra's age 5 years from now. If Aryan is 9 years younger than Ezra, find Aryan's present age.
Let Ezra = 33, then Aryan = 24
Check: (24 - 4) = 2/3 × (33 + 5)
20 = 2/3 × 38 ✓
conditional, fraction

Question 19

If Hina were 7 years younger, she would be 2/5 of Wyatt's age 5 years from now. If Hina is 7 years younger than Wyatt, find Hina's present age.
Let Wyatt = 35, then Hina = 28
Check: (28 - 7) = 2/5 × (35 + 5)
21 = 2/5 × 40 ✓
conditional, fraction

Question 20

Tournament participants: Quinn, Revathi, Samantha, Kiran Given the following clues: 1. Quinn is younger than Revathi 2. Revathi is younger than Samantha 3. Samantha is younger than Kiran 4. Each person is exactly 3 years older than the person immediately younger than them. 5. Kiran is 27 years old. Determine Quinn's age.
Step 1: From clues 1-3, the age order from youngest to oldest is:
Quinn → Revathi → Samantha → Kiran

Step 2: From clue 4, each consecutive person differs by exactly 3 years.
So if youngest = x, then: Quinn=x, Revathi=x+3, Samantha=x+6, Kiran=x+9

Step 3: From clue 5, Kiran (the 4th (oldest)) = 27
Therefore, x + 9 = 27
Solving: x = 27 - 9 = 18

Step 4: All ages are:
• Quinn = 18
• Revathi = 21
• Samantha = 24
• Kiran = 27

Step 5: Quinn is the 1st (youngest).
Therefore, Quinn = 18
ranking
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