This fundamentals focus worksheet contains 20 intermediate-advanced-level age-based puzzles problems. Worksheet 21 of 30 focuses on age-based logic. Practice family ages, generational puzzles, age sequencing with our step-by-step solutions. Difficulty: advanced concepts with increasing complexity. Recommended for advanced developing learners.
The ratio of Upasana's age to Charles's age is 5:8. After 16 years, the ratio will become 7:11. Find Upasana's present age.
Let Upasana = 5k, Charles = 8k After 16 years: (5k+16)/(8k+16) = 7/11 Solving gives k = 8, so Upasana = 40
Question 5
The average age of 6 people is 32. If Akshay (age 40) leaves and a new person joins, the average becomes 34. Find the age of the new person.
Initial total = 32 × 6 = 192 After Akshay leaves: 192 - 40 = 152 New total = 34 × 6 = 204 New person's age = 204 - (152) = 52
Question 6
7 years ago, the ratio of Bela's age to Peter's age was 7:1. Currently, the ratio is 9:2. Find Bela's present age.
Let present ages be 9k and 2k 7 years ago: (9k-7)/(2k-7) = 7/1 Solving gives k = 7, so Bela = 63
Question 7
The difference between Chaitra and Sahil's ages is 28 years. In 6 years, Chaitra's age will be 2 times Sahil's age. How old is Chaitra now?
Let Sahil = x = 22 Then Chaitra = x + 28 = 22 + 28 = 50 Check: In 6 years, Chaitra+6 = 56 2 × (Sahil+6) = 2 × 28 = 56 ✓
Question 8
In a family of four: Shweta, Parul, Christopher, Aurora. The youngest is 7 and the eldest is 14. The other two members are 11 and 12. What is the average age of the family?
Sum of all ages = 7 + 11 + 12 + 14 = 44 Average = 44 ÷ 4 = 11
Question 9
Currently, Paresh is 2/3 of Geeta's age. After 12 years, Paresh will be 3/4 of Geeta's age. Find Paresh's present age.
Let Geeta = x, then Paresh = 2/3x After 12 years: 2/3x + 12 = 3/4(x + 12) Solving gives x = 36, so Paresh = 24
Question 10
The product of the ages of Silas and Dhara is 286, and the difference between their ages is 15. Find Silas's age.
Let ages be x and y. xy = 286 x - y = 15 Solving gives x = 11, y = 26 Therefore, Silas's age = 26
Question 11
Esha is 26 years older than Joseph and is now 39 years old. How old was Esha 11 years ago?
Current age of Esha = 39 11 years ago = 39 - 11 = 28
Question 12
3 years ago, the ratio of Naomi's age to Caroline's age was 3:2. Currently, the ratio is 4:1. Find Naomi's present age.
Let present ages be 4k and 1k 3 years ago: (4k-3)/(1k-3) = 3/2 Solving gives k = 6, so Naomi = 24
Question 13
If Kamal were 6 years younger, she would be 1/3 of Brijesh's age 7 years from now. If Kamal is 28 years younger than Brijesh, find Kamal's present age.
Let Brijesh = 54, then Kamal = 26 Check: (26 - 6) = 1/3 × (54 + 7) 20 = 1/3 × 61 ✓
Question 14
If Anna were 8 years younger, she would be 3/7 of Deepa's age 6 years from now. If Anna is 8 years younger than Deepa, find Anna's present age.
Let Deepa = 40, then Anna = 32 Check: (32 - 8) = 3/7 × (40 + 6) 24 = 3/7 × 46 ✓
Question 15
In a family, Mason is the parent of Nira, and Udit is the grandparent.
Mason is 2 times as old as Nira, and Udit is 30 years older than Mason.
What is the age of Mason?
Let Nira (child) = 10 Then Mason (parent) = 2 × 10 = 20 Then Udit (grandparent) = 20 + 30 = 50
Question 16
Tournament participants: Ella, Peter, Ingrid, Neha
Given the following clues:
1. Ella is younger than Peter
2. Peter is younger than Ingrid
3. Ingrid is younger than Neha
4. Each person is exactly 5 years older than the person immediately younger than them.
5. Ingrid is 28 years old.
Determine Peter's age.
Step 1: From clues 1-3, the age order from youngest to oldest is: Ella → Peter → Ingrid → Neha
Step 2: From clue 4, each consecutive person differs by exactly 5 years. So if youngest = x, then: Ella=x, Peter=x+5, Ingrid=x+10, Neha=x+15
Step 3: From clue 5, Ingrid (the 3rd) = 28 Therefore, x + 10 = 28 Solving: x = 28 - 10 = 18
Step 4: All ages are: • Ella = 18 • Peter = 23 • Ingrid = 28 • Neha = 33
Step 5: Peter is the 2nd. Therefore, Peter = 23
Question 17
Sarabjit is 2/13 of Willow's age. After 26 years, Sarabjit will be 1/6 of Willow's age. Find Sarabjit's present age.
Let Willow = x, then Sarabjit = 2/13x After 26 years: 2/13x + 26 = 1/6(x + 26) Solving gives x = 91, so Sarabjit = 14
Question 18
10 years ago, the ratio of Aparna's age to Mridul's age was 4:9. 20 years from now, the ratio will be 5:12. Find Aparna's present age.
Let Aparna's present age = x, Mridul's present age = y 10 years ago: (x-10)/(y-10) = 4/9 20 years from now: (x+20)/(y+20) = 5/12 Solving these equations gives x = 30, y = 90
Question 19
Omar is twice as old as Shlok was when Malachi was as old as Omar is now. If Malachi is currently 25 years old, find Omar's age.
When Malachi was 30 years old, that was 5 years ago At that time, Shlok was 15 Now Omar = 2 × 15 = 30 ✓
Question 20
The average age of 5 people is 38. If Arthur (age 39) leaves and a new person joins, the average becomes 41. Find the age of the new person.
Initial total = 38 × 5 = 190 After Arthur leaves: 190 - 39 = 151 New total = 41 × 5 = 205 New person's age = 205 - (151) = 54
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