ReasoningAbility.com

Age-Based Puzzles - Beginner Level: age constraints BEGINNER

Level up your age-based puzzles skills with this entry level practice. 20 beginner-level problems await in Worksheet 4 of 30. Focus area: age constraints. Learn age constraints, age relationships, age-based logic through systematic practice. Designed for entry-level learners seeking foundational concepts and basic patterns.

📝 Worksheet 4 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner level

What you'll learn in this worksheet:
Your progress through Age-Based Puzzles
Worksheet 4 of 30 (13% complete)

Question 1

Vineet is 28 years old and Andrew is 27 years old. What will be the sum of their ages after 10 years?
Current sum = 28 + 27 = 55
After 10 years, each ages by 10, so sum increases by 20
Future sum = 55 + 20 = 75
sum_future

Question 2

Jasper is twice as old as Sushant was 4 years ago. The difference between their ages is 37 years. How old is Jasper?
Let Sushant's current age = x
Then 4 years ago, Sushant was (x - 4)
Jasper = 2(x - 4) = 2x - 8
Difference: Jasper - x = (2x - 8) - x = x - 8
Given difference = 37
So x - 8 = 37 → x = 45 = 45
Then Jasper = 2(45 - 4) = 82
2eq

Question 3

The sum of ages of Emmett, David, and Rishi is 24. Their ages are in the ratio 4:1:1. How old is Rishi?
Sum of ratios = 4 + 1 + 1 = 6
Each unit = 24 ÷ 6 = 4
Rishi's ratio = 1
Age = 1 × 4 = 4
sum, ratio

Question 4

The average age of a family of 5 members (Renu, Lucy, Srishti, Prerna, Anmol) is 28.2 years. If Srishti (age 13) leaves the family, what will be the new average age?
Total age = 28.2 × 5 = 141
After Srishti leaves: 141 - 13 = 128
New average = 128 ÷ 4 = 32
average, removal

Question 5

Sarabjit is 25 years old in 2020. In what year was Sarabjit born?
2020 - 25 = 1995
year_birth

Question 6

Ella is 26 years older than Naomi and is now 44 years old. How old was Ella 11 years ago?
Current age of Ella = 44
11 years ago = 44 - 11 = 33
reverse

Question 7

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

Question 8

George is 11 years old and Purvi is 12 years old. What will be the sum of their ages after 7 years?
Current sum = 11 + 12 = 23
After 7 years, each ages by 7, so sum increases by 14
Future sum = 23 + 14 = 37
sum_future

Question 9

In a family, Nimesh : Jordan = 8:4 and Jordan : Sangeeta = 4:1. The sum of their ages is 39. Find Jordan's age.
Let common ratio for Jordan be 4
Then Nimesh:Jordan:Sangeeta = 8:4:1
Sum of ratios = 13
Each unit = 39 ÷ 13 = 3
Jordan's age = 4 × 3 = 12
threegen

Question 10

William is twice as old as Muskan was 5 years ago. The difference between their ages is 10 years. How old is William?
Let Muskan's current age = x
Then 5 years ago, Muskan was (x - 5)
William = 2(x - 5) = 2x - 10
Difference: William - x = (2x - 10) - x = x - 10
Given difference = 10
So x - 10 = 10 → x = 20 = 20
Then William = 2(20 - 5) = 30
2eq

Question 11

Akshay and Natalie are twins. If Akshay is 17 years old now, how old was Natalie 5 years ago?
Twins have the same age. 5 years ago, both were 17 - 5 = 12
twins

Question 12

Soren is twice as old as Benjamin was 5 years ago. The difference between their ages is 5 years. How old is Soren?
Let Benjamin's current age = x
Then 5 years ago, Benjamin was (x - 5)
Soren = 2(x - 5) = 2x - 10
Difference: Soren - x = (2x - 10) - x = x - 10
Given difference = 5
So x - 10 = 5 → x = 15 = 15
Then Soren = 2(15 - 5) = 20
2eq

Question 13

The average age of 5 people is 29. If Bhavna (age 32) leaves and a new person joins, the average becomes 31. Find the age of the new person.
Initial total = 29 × 5 = 145
After Bhavna leaves: 145 - 32 = 113
New total = 31 × 5 = 155
New person's age = 155 - (113) = 42
average

Question 14

The difference between Lily and Savannah's ages is 36 years. In 6 years, Lily's age will be 2 times Savannah's age. How old is Lily now?
Let Savannah = x = 30
Then Lily = x + 36 = 30 + 36 = 66
Check: In 6 years, Lily+6 = 72
2 × (Savannah+6) = 2 × 36 = 72 ✓
diff_mult

Question 15

In a family of four: Victoria, James, Adrian, Manas. The youngest is 9 and the eldest is 27. The other two members are 20 and 24. What is the average age of the family?
Sum of all ages = 9 + 20 + 24 + 27 = 80
Average = 80 ÷ 4 = 20
eldest_youngest

Question 16

The ratio of Shree's age to Harsh's age is 4:13. After 32 years, the ratio will become 5:16. Find Shree's present age.
Let Shree = 4k, Harsh = 13k
After 32 years: (4k+32)/(13k+32) = 5/16
Solving gives k = 12, so Shree = 48
ratio, future

Question 17

Sonam is 32 years old in 2020. In what year was Sonam born?
2020 - 32 = 1988
year_birth

Question 18

Benjamin is 5 years older than Anshul, Anshul is 2 years older than Eliana, and the sum of their ages is 66. What is Benjamin's age?
Let Eliana = 19
Then Anshul = 19 + 2 = 21
And Benjamin = 21 + 5 = 26
Check sum: 26 + 21 + 19 = 66 ✓
linked_eq

Question 19

Currently, Vrijesh is 2/7 of Vimal's age. After 14 years, Vrijesh will be 1/3 of Vimal's age. Find Vrijesh's present age.
Let Vimal = x, then Vrijesh = 2/7x
After 14 years: 2/7x + 14 = 1/3(x + 14)
Solving gives x = 98, so Vrijesh = 28
fraction, time-change

Question 20

Somesh is twice as old as Neha was 3 years ago. The difference between their ages is 15 years. How old is Somesh?
Let Neha's current age = x
Then 3 years ago, Neha was (x - 3)
Somesh = 2(x - 3) = 2x - 6
Difference: Somesh - x = (2x - 6) - x = x - 6
Given difference = 15
So x - 6 = 15 → x = 21 = 21
Then Somesh = 2(21 - 3) = 36
2eq
Previous Worksheet Next Worksheet