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Age-Based Puzzles - Advanced Level: generational puzzles ADVANCED

Exam-focused holistic practice ★ worksheet: 20 advanced-level age-based puzzles questions. Worksheet 23 of 30 targets generational puzzles. Build proficiency in age puzzles, relative ages, age constraints with detailed solutions. Ideal for advanced competitive exam preparation.

📝 Worksheet 23 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Advanced level

What you'll learn in this worksheet:
Your progress through Age-Based Puzzles
Worksheet 23 of 30 (76% complete)

Question 1

Kenji is twice as old as Deepti was 4 years ago. The difference between their ages is 23 years. How old is Kenji?
Let Deepti's current age = x
Then 4 years ago, Deepti was (x - 4)
Kenji = 2(x - 4) = 2x - 8
Difference: Kenji - x = (2x - 8) - x = x - 8
Given difference = 23
So x - 8 = 23 → x = 31 = 31
Then Kenji = 2(31 - 4) = 54
2eq

Question 2

In a family, Vishal : Pooja = 7:4 and Pooja : Waylon = 4:1. The sum of their ages is 36. Find Pooja's age.
Let common ratio for Pooja be 4
Then Vishal:Pooja:Waylon = 7:4:1
Sum of ratios = 12
Each unit = 36 ÷ 12 = 3
Pooja's age = 4 × 3 = 12
threegen

Question 3

Tournament participants: Kai, Simran, Navya, Shalini Given the following clues: 1. Kai is younger than Simran 2. Simran is younger than Navya 3. Navya is younger than Shalini 4. Each person is exactly 4 years older than the person immediately younger than them. 5. Kai is 18 years old. Determine Simran's age.
Step 1: From clues 1-3, the age order from youngest to oldest is:
Kai → Simran → Navya → Shalini

Step 2: From clue 4, each consecutive person differs by exactly 4 years.
So if youngest = x, then: Kai=x, Simran=x+4, Navya=x+8, Shalini=x+12

Step 3: From clue 5, Kai (the 1st (youngest)) = 18
Therefore, x + 0 = 18
Solving: x = 18 - 0 = 18

Step 4: All ages are:
• Kai = 18
• Simran = 22
• Navya = 26
• Shalini = 30

Step 5: Simran is the 2nd.
Therefore, Simran = 22
ranking

Question 4

Diego is half as old as Raghav was when Diego was 21 years old. If Raghav is now 38 years old, find Diego's current age.
When Diego was 21 years old, that was 6 years ago
At that time, Raghav was 38 - 6 = 32 years old
Now Diego is half of 32
Therefore, Diego's current age = 32 ÷ 2 = 16
logic_ratio

Question 5

Madhav and Shanti are twins. If Madhav is 10 years old now, how old was Shanti 6 years ago?
Twins have the same age. 6 years ago, both were 10 - 6 = 4
twins

Question 6

If Utkarsh were 6 years younger, she would be 3/4 of Cora's age 6 years from now. If Utkarsh is 12 years younger than Cora, find Utkarsh's present age.
Let Cora = 48, then Utkarsh = 36
Check: (36 - 6) = 3/4 × (48 + 6)
30 = 3/4 × 54 ✓
conditional, fraction

Question 7

When Elena was born, Nidhi was 19 years old. The sum of their present ages is 39. Find Elena's age when Elena was half of Nidhi's age (this will happen in 9 years).
Let Elena's current age = 10, Nidhi's current age = 29
Given: When Elena was born (0 years old), Nidhi was 19 years old.
Therefore, Nidhi is always 19 years older than Elena.
So 29 = 10 + 19 ✓

Condition: Find t such that Elena's age = ½ of Nidhi's age
Equation: 10 + t = ½(29 + t)
Multiply both sides by 2: 210 + 2t = 29 + t
Simplify: 210 + 2t - t = 29
210 + t = 29
t = 29 - 210
t = 29 - 20 = 9

At that time, Elena's age = 10 + 9 = 19
Verification: When Elena is 19, Nidhi is 38 = 38
Check: Is 19 = ½ × 38? ½ × 38 = 19.0 ✓

Note: Mathematically, this always equals the age difference (19) because:
event_age = current_a + t = current_a + (current_b - 2·current_a) = current_b - current_a = age_diff
event

Question 8

If Sujata were 8 years younger, she would be 3/5 of Kashish's age 10 years from now. If Sujata is 24 years younger than Kashish, find Sujata's present age.
Let Kashish = 72, then Sujata = 48
Check: (48 - 8) = 3/5 × (72 + 10)
40 = 3/5 × 82 ✓
conditional, fraction

Question 9

Rajesh is 2 years older than Anmol, Anmol is 6 years older than Christian, and the sum of their ages is 44. What is Rajesh's age?
Let Christian = 10
Then Anmol = 10 + 6 = 16
And Rajesh = 16 + 2 = 18
Check sum: 18 + 16 + 10 = 44 ✓
linked_eq

Question 10

When Adrian was born, Dharmesh was 15 years old. The sum of their present ages is 29. Find Adrian's age when Adrian was half of Dharmesh's age (this will happen in 8 years).
Let Adrian's current age = 7, Dharmesh's current age = 22
Given: When Adrian was born (0 years old), Dharmesh was 15 years old.
Therefore, Dharmesh is always 15 years older than Adrian.
So 22 = 7 + 15 ✓

Condition: Find t such that Adrian's age = ½ of Dharmesh's age
Equation: 7 + t = ½(22 + t)
Multiply both sides by 2: 27 + 2t = 22 + t
Simplify: 27 + 2t - t = 22
27 + t = 22
t = 22 - 27
t = 22 - 14 = 8

At that time, Adrian's age = 7 + 8 = 15
Verification: When Adrian is 15, Dharmesh is 30 = 30
Check: Is 15 = ½ × 30? ½ × 30 = 15.0 ✓

Note: Mathematically, this always equals the age difference (15) because:
event_age = current_a + t = current_a + (current_b - 2·current_a) = current_b - current_a = age_diff
event

Question 11

Elliott is twice as old as Miles was when Kalpana was as old as Elliott is now. If Kalpana is currently 24 years old, find Elliott's age.
When Kalpana was 28 years old, that was 4 years ago
At that time, Miles was 14
Now Elliott = 2 × 14 = 28 ✓
cross

Question 12

6 years ago, the ratio of Penelope's age to Andrew's age was 3:1. Currently, the ratio is 7:4. Find Penelope's present age.
Let present ages be 7k and 4k
6 years ago: (7k-6)/(4k-6) = 3/1
Solving gives k = 6, so Penelope = 42
hidden

Question 13

Paridhi is half as old as Nidhi was when Paridhi was 10 years old. If Nidhi is now 30 years old, find Paridhi's current age.
When Paridhi was 10 years old, that was 12 years ago
At that time, Nidhi was 30 - 12 = 18 years old
Now Paridhi is half of 18
Therefore, Paridhi's current age = 18 ÷ 2 = 9
logic_ratio

Question 14

Brooklyn is 4 times as old as his son Alice. After 7 years, the sum of their ages will be 74. How old is Alice now?
Let son's age = x, then father's age = 4x
After 7 years: (4x+7) + (x+7) = 74
(4+1)x + 14 = 74
(5)x = 60
x = 12
fatherson

Question 15

In a family of four: Shankar, Andrew, Komal, Manpreet. The eldest is 30, youngest is 10. The average age is 23. What is the sum of the ages of the other two members?
Total sum = 23 × 4 = 92
Eldest + youngest = 30 + 10 = 40
Sum of other two = 92 - 40 = 52
avg_diff

Question 16

6 years ago, the ratio of Ira's age to Dharmesh's age was 3:1. Currently, the ratio is 7:4. Find Ira's present age.
Let present ages be 7k and 4k
6 years ago: (7k-6)/(4k-6) = 3/1
Solving gives k = 6, so Ira = 42
hidden

Question 17

Hudson is twice as old as Shiva was 4 years ago. The difference between their ages is 5 years. How old is Hudson?
Let Shiva's current age = x
Then 4 years ago, Shiva was (x - 4)
Hudson = 2(x - 4) = 2x - 8
Difference: Hudson - x = (2x - 8) - x = x - 8
Given difference = 5
So x - 8 = 5 → x = 13 = 13
Then Hudson = 2(13 - 4) = 18
2eq

Question 18

Matteo is 23 years old and Arianna is 24 years old. What will be the sum of their ages after 7 years?
Current sum = 23 + 24 = 47
After 7 years, each ages by 7, so sum increases by 14
Future sum = 47 + 14 = 61
sum_future

Question 19

Shravan is 29 years old and Rupali is 28 years old. What will be their combined age after 8 years?
Shravan will be 29 + 8 = 37
Rupali will be 28 + 8 = 36
Combined = 37 + 36 = 73
future_past

Question 20

8 years ago, the ratio of Abel's age to Levi's age was 2:5. 16 years from now, the ratio will be 3:7. Find Abel's present age.
Let Abel's present age = x, Levi's present age = y
8 years ago: (x-8)/(y-8) = 2/5
16 years from now: (x+16)/(y+16) = 3/7
Solving these equations gives x = 24, y = 60
ratio, past-future, equation
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