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Age-Based Puzzles - Beginner Level: age puzzles BEGINNER

Ready to master age-based puzzles? This concept mastery features 20 beginner-level challenges. Worksheet 2 of 30 sharpens your age puzzles skills. Master age puzzles, relative ages, age constraints through guided practice. Perfect for entry-level test preparation.

📝 Worksheet 2 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner level

What you'll learn in this worksheet:
Your progress through Age-Based Puzzles
Worksheet 2 of 30 (6% complete)

Question 1

The product of the ages of Jaxson and Gautam is 280, and the sum of their ages is 34. Find Jaxson's age.
Let ages be x and y.
xy = 280
x + y = 34
Solving gives x = 14, y = 20
Therefore, Jaxson's age = 14
product, sum-diff

Question 2

Sienna is 4 times as old as his son Chaitra. After 3 years, the sum of their ages will be 51. How old is Chaitra now?
Let son's age = x, then father's age = 4x
After 3 years: (4x+3) + (x+3) = 51
(4+1)x + 6 = 51
(5)x = 45
x = 9
fatherson

Question 3

Sanjit is 29 years old in 2022. In what year was Sanjit born?
2022 - 29 = 1993
year_birth

Question 4

The product of the ages of Ayush and Tyler is 306, and the sum of their ages is 35. Find Ayush's age.
Let ages be x and y.
xy = 306
x + y = 35
Solving gives x = 17, y = 18
Therefore, Ayush's age = 18
product, sum-diff

Question 5

If Revathi were 9 years younger, she would be 5/12 of Xena's age 8 years from now. If Revathi is 9 years younger than Xena, find Revathi's present age.
Let Xena = 57, then Revathi = 48
Check: (48 - 9) = 5/12 × (57 + 8)
39 = 5/12 × 65 ✓
conditional

Question 6

Tanmay is 31 years old and Vidhi is 24 years old. What will be their combined age after 11 years?
Tanmay will be 31 + 11 = 42
Vidhi will be 24 + 11 = 35
Combined = 42 + 35 = 77
future_past

Question 7

Karan is 2/3 of Abhay's age. After 6 years, Karan will be 3/4 of Abhay's age. Find Karan's present age.
Let Abhay = x, then Karan = 2/3x
After 6 years: 2/3x + 6 = 3/4(x + 6)
Solving gives x = 18, so Karan = 12
fraction, ratio

Question 8

The average age of 6 people is 40. If Sudhir (age 47) leaves and a new person joins, the average becomes 36. Find the age of the new person.
Initial total = 40 × 6 = 240
After Sudhir leaves: 240 - 47 = 193
New total = 36 × 6 = 216
New person's age = 216 - (193) = 23
average

Question 9

Chandan is 5 years older than Mahesh, Mahesh is 4 years older than Divya, and the sum of their ages is 82. What is Chandan's age?
Let Divya = 23
Then Mahesh = 23 + 4 = 27
And Chandan = 27 + 5 = 32
Check sum: 32 + 27 + 23 = 82 ✓
linked_eq

Question 10

The sum of ages of Vedika, Evelyn, and Abigail is 28. Their ages are in the ratio 1:4:2. How old is Evelyn?
Sum of ratios = 1 + 4 + 2 = 7
Each unit = 28 ÷ 7 = 4
Evelyn's ratio = 4
Age = 4 × 4 = 16
sum, ratio

Question 11

In a family, Kumud is the parent of Willow, and Elliott is the grandparent. Kumud is 3 times as old as Willow, and Elliott is 25 years older than Kumud. What is the age of Kumud?
Let Willow (child) = 7
Then Kumud (parent) = 3 × 7 = 21
Then Elliott (grandparent) = 21 + 25 = 46
family

Question 12

Kashish is 22 years old and Manish is 26 years old. What will be the sum of their ages after 9 years?
Current sum = 22 + 26 = 48
After 9 years, each ages by 9, so sum increases by 18
Future sum = 48 + 18 = 66
sum_future

Question 13

Tushar is 14 years old and Prem is 15 years old. What will be their combined age after 8 years?
Tushar will be 14 + 8 = 22
Prem will be 15 + 8 = 23
Combined = 22 + 23 = 45
future_past

Question 14

Somesh is 3/4 of Upasana's age. After 8 years, Somesh will be 4/5 of Upasana's age. Find Somesh's present age.
Let Upasana = x, then Somesh = 3/4x
After 8 years: 3/4x + 8 = 4/5(x + 8)
Solving gives x = 32, so Somesh = 24
fraction, ratio

Question 15

In a family, Lalita : Pravin = 5:3 and Pravin : Ranveer = 3:1. The sum of their ages is 36. Find Pravin's age.
Let common ratio for Pravin be 3
Then Lalita:Pravin:Ranveer = 5:3:1
Sum of ratios = 9
Each unit = 36 ÷ 9 = 4
Pravin's age = 3 × 4 = 12
threegen

Question 16

Sumit is 25 years old and Arthur is 10 years old. What will be the sum of their ages after 4 years?
Current sum = 25 + 10 = 35
After 4 years, each ages by 4, so sum increases by 8
Future sum = 35 + 8 = 43
sum_future

Question 17

Aaliyah is twice as old as Evelyn was when Unnati was as old as Aaliyah is now. If Unnati is currently 33 years old, find Aaliyah's age.
When Unnati was 38 years old, that was 5 years ago
At that time, Evelyn was 19
Now Aaliyah = 2 × 19 = 38 ✓
cross

Question 18

The ratio of Hugo's age to Theodore's age is 5:8. After 16 years, the ratio will become 7:11. Find Hugo's present age.
Let Hugo = 5k, Theodore = 8k
After 16 years: (5k+16)/(8k+16) = 7/11
Solving gives k = 8, so Hugo = 40
ratio, future

Question 19

In a family of four: Arlo, Anna, Kiran, Kabir. The youngest is 9 and the eldest is 18. The other two members are 12 and 13. What is the average age of the family?
Sum of all ages = 9 + 12 + 13 + 18 = 52
Average = 52 ÷ 4 = 13
eldest_youngest

Question 20

In a family, Brandon : Ishaan = 7:3 and Ishaan : Leon = 4:1. The sum of their ages is 86. Find Ishaan's age.
Let common ratio for Ishaan be 12
Then Brandon:Ishaan:Leon = 28:12:3
Sum of ratios = 43
Each unit = 86 ÷ 43 = 2
Ishaan's age = 12 × 2 = 24
threegen
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