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Age-Based Puzzles - Advanced Level: temporal puzzles ADVANCED

Boost your speed and accuracy with this high difficulty set 📈 worksheet. Worksheet 25 of 30 presents 20 advanced-level age-based puzzles problems. Focus on temporal puzzles while practicing age constraints, age relationships, age-based logic. Difficulty: complex scenarios and multi-step problems. Perfect for advanced test takers.

📝 Worksheet 25 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Advanced level

What you'll learn in this worksheet:
Your progress through Age-Based Puzzles
Worksheet 25 of 30 (83% complete)

Question 1

The average age of a family of 8 members (Shree, Ajay, Rishabh, Michael, Lily, Namrata, Paridhi, Jai) is 19.5 years. If Paridhi (age 23) leaves the family, what will be the new average age?
Total age = 19.5 × 8 = 156
After Paridhi leaves: 156 - 23 = 133
New average = 133 ÷ 7 = 19
average, removal

Question 2

In a family, Anu is the parent of Amrita, and Eleanor is the grandparent. Anu is 2 times as old as Amrita, and Eleanor is 26 years older than Anu. What is the age of Anu?
Let Amrita (child) = 10
Then Anu (parent) = 2 × 10 = 20
Then Eleanor (grandparent) = 20 + 26 = 46
family

Question 3

If Manas were 8 years younger, she would be 3/4 of Ankur's age 7 years from now. If Manas is 16 years younger than Ankur, find Manas's present age.
Let Ankur = 64, then Manas = 48
Check: (48 - 8) = 3/4 × (64 + 7)
40 = 3/4 × 71 ✓
conditional, fraction

Question 4

Four people: Aaliyah, Nikita, Riddhima, Malachi Given: 1. The sum of all four ages is 106 2. Aaliyah + Nikita = 43 3. Malachi is 5 years older than Riddhima 4. Nikita is 26 years old Find Riddhima's age.
Step 1: From clue 4, Nikita = 26

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, Riddhima = 29

Complete ages: Aaliyah=17, Nikita=26, Riddhima=29, Malachi=34
grid_logic

Question 5

Isla is 30 years old and Vimal is 21 years old. What will be the sum of their ages after 9 years?
Current sum = 30 + 21 = 51
After 9 years, each ages by 9, so sum increases by 18
Future sum = 51 + 18 = 69
sum_future

Question 6

Kailash is half as old as Natalie was when Kailash was 16 years old. If Natalie is now 40 years old, find Kailash's current age.
When Kailash was 16 years old, that was 6 years ago
At that time, Natalie was 40 - 6 = 34 years old
Now Kailash is half of 34
Therefore, Kailash's current age = 34 ÷ 2 = 17
logic_ratio

Question 7

Eliana is 16 years old and Sushma is 19 years old. What will be the sum of their ages after 8 years?
Current sum = 16 + 19 = 35
After 8 years, each ages by 8, so sum increases by 16
Future sum = 35 + 16 = 51
sum_future

Question 8

The average age of 4 people is 26. If Komal (age 35) leaves and a new person joins, the average becomes 26. Find the age of the new person.
Initial total = 26 × 4 = 104
After Komal leaves: 104 - 35 = 69
New total = 26 × 4 = 104
New person's age = 104 - (69) = 35
average

Question 9

The average age of a family of 4 members (Bela, Farhan, Valentina, Kiran) is 36.2 years. If Bela (age 31) leaves the family, what will be the new average age?
Total age = 36.2 × 4 = 145
After Bela leaves: 145 - 31 = 114
New average = 114 ÷ 3 = 38
average, removal

Question 10

The average age of 4 people is 33. If Ankur (age 42) leaves and a new person joins, the average becomes 28. Find the age of the new person.
Initial total = 33 × 4 = 132
After Ankur leaves: 132 - 42 = 90
New total = 28 × 4 = 112
New person's age = 112 - (90) = 22
average

Question 11

If Diego were 11 years younger, she would be 3/11 of Yashaswi's age 7 years from now. If Diego is 11 years younger than Yashaswi, find Diego's present age.
Let Yashaswi = 46, then Diego = 35
Check: (35 - 11) = 3/11 × (46 + 7)
24 = 3/11 × 53 ✓
conditional

Question 12

If Christian were 4 years younger, she would be 1/5 of Priyanka's age 12 years from now. If Christian is 4 years younger than Priyanka, find Christian's present age.
Let Priyanka = 34, then Christian = 30
Check: (30 - 4) = 1/5 × (34 + 12)
26 = 1/5 × 46 ✓
conditional

Question 13

Prashant is 3 times as old as Sarita. 6 years ago, the sum of their ages was 80. How old is Sarita now?
Let Sarita = x, then Prashant = 3x
6 years ago: (3x - 6) + (x - 6) = 80
(3+1)x - 12 = 80
(4)x = 92
x = 23
ratio_sum

Question 14

Raj is half as old as Milind was when Raj was 15 years old. If Milind is now 42 years old, find Raj's current age.
When Raj was 15 years old, that was 18 years ago
At that time, Milind was 42 - 18 = 24 years old
Now Raj is half of 24
Therefore, Raj's current age = 24 ÷ 2 = 12
logic_ratio

Question 15

The difference between Marcus and Ojas's ages is 40 years. In 4 years, Marcus's age will be 3 times Ojas's age. How old is Marcus now?
Let Ojas = x = 16
Then Marcus = x + 40 = 16 + 40 = 56
Check: In 4 years, Marcus+4 = 60
3 × (Ojas+4) = 3 × 20 = 60 ✓
diff_mult

Question 16

Kinsley is half as old as Utkarsh was when Kinsley was 15 years old. If Utkarsh is now 26 years old, find Kinsley's current age.
When Kinsley was 15 years old, that was 6 years ago
At that time, Utkarsh was 26 - 6 = 20 years old
Now Kinsley is half of 20
Therefore, Kinsley's current age = 20 ÷ 2 = 10
logic_ratio

Question 17

In a family, Surbhi is the parent of Harish, and Peyton is the grandparent. Surbhi is 3 times as old as Harish, and Peyton is 21 years older than Surbhi. What is the age of Surbhi?
Let Harish (child) = 5
Then Surbhi (parent) = 3 × 5 = 15
Then Peyton (grandparent) = 15 + 21 = 36
family

Question 18

Drishti is 6 years older than Amrita, Amrita is 2 years older than Harsha, and the sum of their ages is 55. What is Drishti's age?
Let Harsha = 15
Then Amrita = 15 + 2 = 17
And Drishti = 17 + 6 = 23
Check sum: 23 + 17 + 15 = 55 ✓
linked_eq

Question 19

5 years ago, the ratio of Ira's age to Levi's age was 5:2. Currently, the ratio is 6:1. Find Ira's present age.
Let present ages be 6k and 1k
5 years ago: (6k-5)/(1k-5) = 5/2
Solving gives k = 5, so Ira = 30
hidden

Question 20

Vidhi is twice as old as Yara was 7 years ago. The difference between their ages is 5 years. How old is Vidhi?
Let Yara's current age = x
Then 7 years ago, Yara was (x - 7)
Vidhi = 2(x - 7) = 2x - 14
Difference: Vidhi - x = (2x - 14) - x = x - 14
Given difference = 5
So x - 14 = 5 → x = 19 = 19
Then Vidhi = 2(19 - 7) = 24
2eq
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