Age-Based Puzzles - Advanced Level: future ages ADVANCED

Quick competitive exam prep session: 20 advanced-level age-based puzzles questions. Worksheet 27 of 30 - Focus: future ages. Practice age-based logic, family ages, generational puzzles with instant feedback. Great for advanced students needing complex scenarios and multi-step problems practice.

📝 Worksheet 27 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Advanced level

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Worksheet 27 of 30 (90% complete)

Question 1

The product of the ages of Nisha, Anshul, and Jitendra is 1911. 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 = 1911 ÷ (x × 3x) = 1911 ÷ (3x²)
Testing x = 7: middle = 1911 ÷ (3 × 7²) = 13
Therefore, eldest = 21

Question 2

The product of the ages of Prerna, Nishant, and Somesh 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

Question 3

Harish is 27 years old and George is 24 years old. What will be the sum of their ages after 6 years?
Current sum = 27 + 24 = 51
After 6 years, each ages by 6, so sum increases by 12
Future sum = 51 + 12 = 63

Question 4

In a family, Nolan is the parent of Angel, and Beau is the grandparent. Nolan is 3 times as old as Angel, and Beau is 28 years older than Nolan. What is the age of Nolan?
Let Angel (child) = 15
Then Nolan (parent) = 3 × 15 = 45
Then Beau (grandparent) = 45 + 28 = 73

Question 5

8 years ago, the ratio of Prateek's age to Shakti's age was 1:2. 16 years from now, the ratio will be 3:5. Find Prateek's present age.
Let Prateek's present age = x, Shakti's present age = y
8 years ago: (x-8)/(y-8) = 1/2
16 years from now: (x+16)/(y+16) = 3/5
Solving these equations gives x = 16, y = 32

Question 6

Vikas is 12 years old and Amelia is 35 years old. What will be their combined age after 4 years?
Vikas will be 12 + 4 = 16
Amelia will be 35 + 4 = 39
Combined = 16 + 39 = 55

Question 7

Drishti is 31 years older than Mohit and is now 47 years old. How old was Drishti 5 years ago?
Current age of Drishti = 47
5 years ago = 47 - 5 = 42

Question 8

Currently, Vandana is 2/5 of Udit's age. After 12 years, Vandana will be 1/2 of Udit's age. Find Vandana's present age.
Let Udit = x, then Vandana = 2/5x
After 12 years: 2/5x + 12 = 1/2(x + 12)
Solving gives x = 60, so Vandana = 24

Question 9

Paresh is twice as old as Tanu was when Genesis was as old as Paresh is now. If Genesis is currently 47 years old, find Paresh's age.
When Genesis was 54 years old, that was 7 years ago
At that time, Tanu was 27
Now Paresh = 2 × 27 = 54 ✓

Question 10

Saloni is 29 years older than Pawan and is now 43 years old. How old was Saloni 9 years ago?
Current age of Saloni = 43
9 years ago = 43 - 9 = 34

Question 11

If Anna were 5 years younger, she would be 2/5 of Ritika's age 6 years from now. If Anna is 20 years younger than Ritika, find Anna's present age.
Let Ritika = 45, then Anna = 25
Check: (25 - 5) = 2/5 × (45 + 6)
20 = 2/5 × 51 ✓

Question 12

The average age of 5 people is 33. If Quinn (age 35) leaves and a new person joins, the average becomes 36. Find the age of the new person.
Initial total = 33 × 5 = 165
After Quinn leaves: 165 - 35 = 130
New total = 36 × 5 = 180
New person's age = 180 - (130) = 50

Question 13

In a family, Kush is the parent of Ishika, and Unnati is the grandparent. Kush is 2 times as old as Ishika, and Unnati is 20 years older than Kush. What is the age of Kush?
Let Ishika (child) = 6
Then Kush (parent) = 2 × 6 = 12
Then Unnati (grandparent) = 12 + 20 = 32

Question 14

Four people: Vidya, Gaurav, Sarvesh, Preeti Given: 1. The sum of all four ages is 118 2. Vidya + Gaurav = 45 3. Preeti is 3 years older than Sarvesh 4. Sarvesh is 35 years old Find Vidya's age.
Step 1: From clue 4, Sarvesh = 35

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, Vidya = 17

Complete ages: Vidya=17, Gaurav=28, Sarvesh=35, Preeti=38

Question 15

Aubrey is half as old as Charu was when Aubrey was 14 years old. If Charu is now 31 years old, find Aubrey's current age.
When Aubrey was 14 years old, that was 7 years ago
At that time, Charu was 31 - 7 = 24 years old
Now Aubrey is half of 24
Therefore, Aubrey's current age = 24 ÷ 2 = 12

Question 16

The average age of a family of 8 members (Yamini, Lucas, Jackson, Sheetal, Damian, Rajiv, Leo, Disha) is 32.6 years. If Disha (age 16) leaves the family, what will be the new average age?
Total age = 32.6 × 8 = 261
After Disha leaves: 261 - 16 = 245
New average = 245 ÷ 7 = 35

Question 17

Four people: Bina, Sunil, Namrata, Camila Given: 1. The sum of all four ages is 133 2. Bina + Sunil = 48 3. Camila is 5 years older than Namrata 4. Namrata is 40 years old Find Bina's age.
Step 1: From clue 4, Namrata = 40

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, Bina = 20

Complete ages: Bina=20, Sunil=28, Namrata=40, Camila=45

Question 18

In a family, Sushant : Patrick = 8:4 and Patrick : Skylar = 4:1. The sum of their ages is 52. Find Patrick's age.
Let common ratio for Patrick be 4
Then Sushant:Patrick:Skylar = 8:4:1
Sum of ratios = 13
Each unit = 52 ÷ 13 = 4
Patrick's age = 4 × 4 = 16

Question 19

Tournament participants: Srishti, Piper, Ellie, Rowan Given the following clues: 1. Srishti is younger than Piper 2. Piper is younger than Ellie 3. Ellie is younger than Rowan 4. Each person is exactly 4 years older than the person immediately younger than them. 5. Piper is 20 years old. Determine Ellie's age.
Step 1: From clues 1-3, the age order from youngest to oldest is:
Srishti → Piper → Ellie → Rowan

Step 2: From clue 4, each consecutive person differs by exactly 4 years.
So if youngest = x, then: Srishti=x, Piper=x+4, Ellie=x+8, Rowan=x+12

Step 3: From clue 5, Piper (the 2nd) = 20
Therefore, x + 4 = 20
Solving: x = 20 - 4 = 16

Step 4: All ages are:
• Srishti = 16
• Piper = 20
• Ellie = 24
• Rowan = 28

Step 5: Ellie is the 3rd.
Therefore, Ellie = 24

Question 20

Eleanor is 3/5 of Sadie's age. After 15 years, Eleanor will be 2/3 of Sadie's age. Find Eleanor's present age.
Let Sadie = x, then Eleanor = 3/5x
After 15 years: 3/5x + 15 = 2/3(x + 15)
Solving gives x = 75, so Eleanor = 45
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