ReasoningAbility.com

Age-Based Puzzles - Intermediate Level: difference ages INTERMEDIATE

Boost your speed and accuracy with this adaptive style 📈 worksheet. Worksheet 15 of 30 presents 20 intermediate-level age-based puzzles problems. Focus on difference ages while practicing age comparison, age puzzles, relative ages. Difficulty: moderate complexity with mixed patterns. Perfect for mid-level test takers.

📝 Worksheet 15 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate level

What you'll learn in this worksheet:
Your progress through Age-Based Puzzles
Worksheet 15 of 30 (50% complete)

Question 1

Ashish is 21 years old and Raul is 29 years old. What will be their combined age after 9 years?
Ashish will be 21 + 9 = 30
Raul will be 29 + 9 = 38
Combined = 30 + 38 = 68
future_past

Question 2

Darpan is 2 times as old as Yash. 3 years ago, the sum of their ages was 30. How old is Yash now?
Let Yash = x, then Darpan = 2x
3 years ago: (2x - 3) + (x - 3) = 30
(2+1)x - 6 = 30
(3)x = 36
x = 12
ratio_sum

Question 3

The average age of 6 people is 31. If Harish (age 48) leaves and a new person joins, the average becomes 31. Find the age of the new person.
Initial total = 31 × 6 = 186
After Harish leaves: 186 - 48 = 138
New total = 31 × 6 = 186
New person's age = 186 - (138) = 48
average

Question 4

In a family, Bela is the parent of Asha, and Saachi is the grandparent. Bela is 3 times as old as Asha, and Saachi is 21 years older than Bela. What is the age of Bela?
Let Asha (child) = 7
Then Bela (parent) = 3 × 7 = 21
Then Saachi (grandparent) = 21 + 21 = 42
family

Question 5

In a family of four: Mitali, Gajendra, Dilip, Ved. The eldest is 31, youngest is 13. The average age is 25. What is the sum of the ages of the other two members?
Total sum = 25 × 4 = 100
Eldest + youngest = 31 + 13 = 44
Sum of other two = 100 - 44 = 56
avg_diff

Question 6

Saloni is 34 years old and Shreya is 15 years old. What will be their combined age after 10 years?
Saloni will be 34 + 10 = 44
Shreya will be 15 + 10 = 25
Combined = 44 + 25 = 69
future_past

Question 7

Ethan and Hardik are twins. If Ethan is 25 years old now, how old was Hardik 4 years ago?
Twins have the same age. 4 years ago, both were 25 - 4 = 21
twins

Question 8

If Indira were 7 years younger, she would be 2/7 of Priyanka's age 8 years from now. If Indira is 37 years younger than Priyanka, find Indira's present age.
Let Priyanka = 65, then Indira = 28
Check: (28 - 7) = 2/7 × (65 + 8)
21 = 2/7 × 73 ✓
conditional, fraction

Question 9

Allison and Anna are twins. If Allison is 14 years old now, how old was Anna 8 years ago?
Twins have the same age. 8 years ago, both were 14 - 8 = 6
twins

Question 10

If Maya were 4 years younger, she would be 2/5 of Sharad's age 5 years from now. If Maya is 16 years younger than Sharad, find Maya's present age.
Let Sharad = 36, then Maya = 20
Check: (20 - 4) = 2/5 × (36 + 5)
16 = 2/5 × 41 ✓
conditional, fraction

Question 11

The average age of a family of 4 members (Theo, Rahul, Ian, Harper) is 20.5 years. If Rahul (age 16) leaves the family, what will be the new average age?
Total age = 20.5 × 4 = 82
After Rahul leaves: 82 - 16 = 66
New average = 66 ÷ 3 = 22
average, removal

Question 12

Rylee is 37 years older than Kanika and is now 49 years old. How old was Rylee 15 years ago?
Current age of Rylee = 49
15 years ago = 49 - 15 = 34
reverse

Question 13

Preeti is 4 times as old as his son Pallavi. After 8 years, the sum of their ages will be 76. How old is Pallavi now?
Let son's age = x, then father's age = 4x
After 8 years: (4x+8) + (x+8) = 76
(4+1)x + 16 = 76
(5)x = 60
x = 12
fatherson

Question 14

Parvathy is 27 years old and Patrick is 19 years old. What will be the sum of their ages after 3 years?
Current sum = 27 + 19 = 46
After 3 years, each ages by 3, so sum increases by 6
Future sum = 46 + 6 = 52
sum_future

Question 15

6 years ago, the ratio of Autumn's age to Vrijesh's age was 1:5. 12 years from now, the ratio will be 2:9. Find Autumn's present age.
Let Autumn's present age = x, Vrijesh's present age = y
6 years ago: (x-6)/(y-6) = 1/5
12 years from now: (x+12)/(y+12) = 2/9
Solving these equations gives x = 12, y = 60
ratio, past-future, equation

Question 16

Four people: Santosh, Disha, Yara, Waylon Given: 1. The sum of all four ages is 128 2. Santosh + Disha = 53 3. Waylon is 5 years older than Yara 4. Santosh is 25 years old Find Waylon's age.
Step 1: From clue 4, Santosh = 25

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, Waylon = 40

Complete ages: Santosh=25, Disha=28, Yara=35, Waylon=40
grid_logic

Question 17

The product of the ages of Simran and Navya is 120, and the difference between their ages is 2. Find Simran's age.
Let ages be x and y.
xy = 120
x - y = 2
Solving gives x = 10, y = 12
Therefore, Simran's age = 10
product, sum-diff

Question 18

In a family, Navin : Christian = 8:4 and Christian : Louis = 3:1. The sum of their ages is 80. Find Christian's age.
Let common ratio for Christian be 12
Then Navin:Christian:Louis = 24:12:4
Sum of ratios = 40
Each unit = 80 ÷ 40 = 2
Christian's age = 12 × 2 = 24
threegen

Question 19

In a family of four: Hannah, Mohan, Milo, Julian. The eldest is 33, youngest is 15. The average age is 25. What is the sum of the ages of the other two members?
Total sum = 25 × 4 = 100
Eldest + youngest = 33 + 15 = 48
Sum of other two = 100 - 48 = 52
avg_diff

Question 20

Varun is 29 years older than Vaibhav and is now 43 years old. How old was Varun 12 years ago?
Current age of Varun = 43
12 years ago = 43 - 12 = 31
reverse
Previous Worksheet Next Worksheet