Age-Based Puzzles - Beginner-Intermediate Level: future ages BEGINNER-INTERMEDIATE

Ready to master age-based puzzles? This benchmark test features 20 beginner-intermediate-level challenges. Worksheet 12 of 30 sharpens your future ages skills. Master age relationships, age-based logic, family ages through guided practice. Perfect for developing test preparation.

📝 Worksheet 12 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner-intermediate level

What you'll learn in this worksheet:
Your progress through Age-Based Puzzles
Worksheet 12 of 30 (40% complete)

Question 1

Jasper is 12 years old and Sunil is 15 years old. What will be their combined age after 3 years?
Jasper will be 12 + 3 = 15
Sunil will be 15 + 3 = 18
Combined = 15 + 18 = 33

Question 2

Nikita is 12 years old and Malachi is 29 years old. What will be the sum of their ages after 9 years?
Current sum = 12 + 29 = 41
After 9 years, each ages by 9, so sum increases by 18
Future sum = 41 + 18 = 59

Question 3

Bennett is 40 years older than Nira and is now 52 years old. How old was Bennett 12 years ago?
Current age of Bennett = 52
12 years ago = 52 - 12 = 40

Question 4

Vidhi is half as old as Yash was when Vidhi was 19 years old. If Yash is now 37 years old, find Vidhi's current age.
When Vidhi was 19 years old, that was 5 years ago
At that time, Yash was 37 - 5 = 32 years old
Now Vidhi is half of 32
Therefore, Vidhi's current age = 32 ÷ 2 = 16

Question 5

When Arthur was born, Jaideep was 5 years old. The sum of their present ages is 39. Find Arthur's age when Arthur was half of Jaideep's age (this will happen 12 years ago).
Let Arthur's current age = 17, Jaideep's current age = 22
Given: When Arthur was born (0 years old), Jaideep was 5 years old.
Therefore, Jaideep is always 5 years older than Arthur.
So 22 = 17 + 5 ✓

Condition: Find t such that Arthur's age = ½ of Jaideep's age
Equation: 17 + t = ½(22 + t)
Multiply both sides by 2: 217 + 2t = 22 + t
Simplify: 217 + 2t - t = 22
217 + t = 22
t = 22 - 217
t = 22 - 34 = -12

At that time, Arthur's age = 17 + -12 = 5
Verification: When Arthur is 5, Jaideep is 10 = 10
Check: Is 5 = ½ × 10? ½ × 10 = 5.0 ✓

Note: Mathematically, this always equals the age difference (5) because:
event_age = current_a + t = current_a + (current_b - 2·current_a) = current_b - current_a = age_diff

Question 6

The product of the ages of Gauri, Shravan, and Victoria is 3750. 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 = 3750 ÷ (x × 2x) = 3750 ÷ (2x²)
Testing x = 10: middle = 3750 ÷ (2 × 10²) = 15
Therefore, eldest = 25

Question 7

In a family, Nilesh : Phalguni = 5:4 and Phalguni : David = 4:1. The sum of their ages is 30. Find Phalguni's age.
Let common ratio for Phalguni be 4
Then Nilesh:Phalguni:David = 5:4:1
Sum of ratios = 10
Each unit = 30 ÷ 10 = 3
Phalguni's age = 4 × 3 = 12

Question 8

Vinod is twice as old as Amira was 3 years ago. The difference between their ages is 17 years. How old is Vinod?
Let Amira's current age = x
Then 3 years ago, Amira was (x - 3)
Vinod = 2(x - 3) = 2x - 6
Difference: Vinod - x = (2x - 6) - x = x - 6
Given difference = 17
So x - 6 = 17 → x = 23 = 23
Then Vinod = 2(23 - 3) = 40

Question 9

Upasana is 19 years old and Ishwar is 30 years old. What will be their combined age after 6 years?
Upasana will be 19 + 6 = 25
Ishwar will be 30 + 6 = 36
Combined = 25 + 36 = 61

Question 10

Four people: Dhara, Lillian, Yuvraj, Vasudha Given: 1. The sum of all four ages is 132 2. Dhara + Lillian = 51 3. Vasudha is 3 years older than Yuvraj 4. Lillian is 29 years old Find Yuvraj's age.
Step 1: From clue 4, Lillian = 29

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, Yuvraj = 39

Complete ages: Dhara=22, Lillian=29, Yuvraj=39, Vasudha=42

Question 11

In a family of four: Madeline, Christopher, Gabriella, Gopal. The eldest is 30, youngest is 9. The average age is 18. What is the sum of the ages of the other two members?
Total sum = 18 × 4 = 72
Eldest + youngest = 30 + 9 = 39
Sum of other two = 72 - 39 = 33

Question 12

The ratio of Nova's age to Anshul's age is 3:10. After 26 years, the ratio will become 4:13. Find Nova's present age.
Let Nova = 3k, Anshul = 10k
After 26 years: (3k+26)/(10k+26) = 4/13
Solving gives k = 12, so Nova = 36

Question 13

In a family, Tanu : Sagar = 7:3 and Sagar : Katia = 4:1. The sum of their ages is 172. Find Sagar's age.
Let common ratio for Sagar be 12
Then Tanu:Sagar:Katia = 28:12:3
Sum of ratios = 43
Each unit = 172 ÷ 43 = 4
Sagar's age = 12 × 4 = 48

Question 14

If Indira were 7 years younger, she would be 4/11 of Mamta's age 9 years from now. If Indira is 7 years younger than Mamta, find Indira's present age.
Let Mamta = 49, then Indira = 42
Check: (42 - 7) = 4/11 × (49 + 9)
35 = 4/11 × 58 ✓

Question 15

The sum of ages of Beatrice, Naman, and Hari is 45. Their ages are in the ratio 4:1:4. How old is Hari?
Sum of ratios = 4 + 1 + 4 = 9
Each unit = 45 ÷ 9 = 5
Hari's ratio = 4
Age = 4 × 5 = 20

Question 16

The ratio of Avinash's age to Tarun's age is 1:2. After 5 years, the ratio will become 2:3. Find Avinash's present age.
Let Avinash = 1k, Tarun = 2k
After 5 years: (1k+5)/(2k+5) = 2/3
Solving gives k = 10, so Avinash = 10

Question 17

Piya and Diego are twins. If Piya is 24 years old now, how old was Diego 7 years ago?
Twins have the same age. 7 years ago, both were 24 - 7 = 17

Question 18

In a family, Divya is the parent of Bentley, and Zoe is the grandparent. Divya is 2 times as old as Bentley, and Zoe is 22 years older than Divya. What is the age of Divya?
Let Bentley (child) = 5
Then Divya (parent) = 2 × 5 = 10
Then Zoe (grandparent) = 10 + 22 = 32

Question 19

Austin is 26 years old and Tarun is 20 years old. What will be their combined age after 10 years?
Austin will be 26 + 10 = 36
Tarun will be 20 + 10 = 30
Combined = 36 + 30 = 66

Question 20

Four people: Sagar, Namrata, Marcus, Scarlett Given: 1. The sum of all four ages is 147 2. Sagar + Namrata = 56 3. Scarlett is 9 years older than Marcus 4. Scarlett is 50 years old Find Marcus's age.
Step 1: From clue 4, Scarlett = 50

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, Marcus = 41

Complete ages: Sagar=25, Namrata=31, Marcus=41, Scarlett=50
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