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Age-Based Puzzles - Intermediate-Advanced Level: age constraints INTERMEDIATE-ADVANCED

Strategic expert challenge ★ for age-based puzzles: 20 intermediate-advanced-level problems. Worksheet 19 of 30 - Focus: age constraints. Develop expertise in age relationships, age-based logic, family ages with step-by-step solutions. Ideal for advanced developing learners targeting advanced concepts with increasing complexity.

📝 Worksheet 19 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate-advanced level

What you'll learn in this worksheet:
Your progress through Age-Based Puzzles
Worksheet 19 of 30 (63% complete)

Question 1

9 years ago, the ratio of Farhan's age to Christopher's age was 8:3. Currently, the ratio is 5:2. Find Farhan's present age.
Let present ages be 5k and 2k
9 years ago: (5k-9)/(2k-9) = 8/3
Solving gives k = 9, so Farhan = 45
hidden

Question 2

4 years ago, the ratio of Rishi's age to Aditya's age was 1:2. 8 years from now, the ratio will be 3:5. Find Rishi's present age.
Let Rishi's present age = x, Aditya's present age = y
4 years ago: (x-4)/(y-4) = 1/2
8 years from now: (x+8)/(y+8) = 3/5
Solving these equations gives x = 8, y = 16
ratio, past-future, equation

Question 3

5 years ago, the ratio of Siddharth's age to Vasudha's age was 4:2. Currently, the ratio is 3:1. Find Siddharth's present age.
Let present ages be 3k and 1k
5 years ago: (3k-5)/(1k-5) = 4/2
Solving gives k = 10, so Siddharth = 30
hidden

Question 4

Rajiv is 2/9 of Deepak's age. After 18 years, Rajiv will be 1/4 of Deepak's age. Find Rajiv's present age.
Let Deepak = x, then Rajiv = 2/9x
After 18 years: 2/9x + 18 = 1/4(x + 18)
Solving gives x = 36, so Rajiv = 8
fraction, ratio

Question 5

In a family of four: Ishwar, Sumit, Jack, Vedika. The youngest is 6 and the eldest is 18. The other two members are 9 and 11. What is the average age of the family?
Sum of all ages = 6 + 9 + 11 + 18 = 44
Average = 44 ÷ 4 = 11
eldest_youngest

Question 6

Nevaeh is twice as old as Jitendra was 8 years ago. The difference between their ages is 2 years. How old is Nevaeh?
Let Jitendra's current age = x
Then 8 years ago, Jitendra was (x - 8)
Nevaeh = 2(x - 8) = 2x - 16
Difference: Nevaeh - x = (2x - 16) - x = x - 16
Given difference = 2
So x - 16 = 2 → x = 18 = 18
Then Nevaeh = 2(18 - 8) = 20
2eq

Question 7

Allison is 33 years old and Neeraj is 20 years old. What will be their combined age after 10 years?
Allison will be 33 + 10 = 43
Neeraj will be 20 + 10 = 30
Combined = 43 + 30 = 73
future_past

Question 8

The average age of a family of 7 members (Vaibhav, Christopher, Lars, Sunil, Ramesh, Vandana, Malachi) is 36.7 years. If Christopher (age 35) leaves the family, what will be the new average age?
Total age = 36.7 × 7 = 257
After Christopher leaves: 257 - 35 = 222
New average = 222 ÷ 6 = 37
average, removal

Question 9

The product of the ages of Dominic, Vedika, and Kiran is 882. 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 = 882 ÷ (x × 2x) = 882 ÷ (2x²)
Testing x = 7: middle = 882 ÷ (2 × 7²) = 9
Therefore, eldest = 14
product

Question 10

The average age of a family of 5 members (Vimal, Evelyn, Disha, Raveena, Mukesh) is 37.2 years. If Vimal (age 54) leaves the family, what will be the new average age?
Total age = 37.2 × 5 = 186
After Vimal leaves: 186 - 54 = 132
New average = 132 ÷ 4 = 33
average, removal

Question 11

Theo is twice as old as Lars was 4 years ago. The difference between their ages is 19 years. How old is Theo?
Let Lars's current age = x
Then 4 years ago, Lars was (x - 4)
Theo = 2(x - 4) = 2x - 8
Difference: Theo - x = (2x - 8) - x = x - 8
Given difference = 19
So x - 8 = 19 → x = 27 = 27
Then Theo = 2(27 - 4) = 46
2eq

Question 12

In a family, Bjorn is the parent of Leah, and Sonal is the grandparent. Bjorn is 2 times as old as Leah, and Sonal is 28 years older than Bjorn. What is the age of Bjorn?
Let Leah (child) = 15
Then Bjorn (parent) = 2 × 15 = 30
Then Sonal (grandparent) = 30 + 28 = 58
family

Question 13

Simran is 27 years old in 2023. In what year was Simran born?
2023 - 27 = 1996
year_birth

Question 14

Kritika is 4 times as old as Narendra. 3 years ago, the sum of their ages was 119. How old is Narendra now?
Let Narendra = x, then Kritika = 4x
3 years ago: (4x - 3) + (x - 3) = 119
(4+1)x - 6 = 119
(5)x = 125
x = 25
ratio_sum

Question 15

Jai is 2/9 of Mason's age. After 18 years, Jai will be 1/4 of Mason's age. Find Jai's present age.
Let Mason = x, then Jai = 2/9x
After 18 years: 2/9x + 18 = 1/4(x + 18)
Solving gives x = 36, so Jai = 8
fraction, ratio

Question 16

Connor is 18 years old and Sameer is 29 years old. What will be the sum of their ages after 8 years?
Current sum = 18 + 29 = 47
After 8 years, each ages by 8, so sum increases by 16
Future sum = 47 + 16 = 63
sum_future

Question 17

Karuna is 6 years older than Saachi, Saachi is 2 years older than Ezra, and the sum of their ages is 61. What is Karuna's age?
Let Ezra = 17
Then Saachi = 17 + 2 = 19
And Karuna = 19 + 6 = 25
Check sum: 25 + 19 + 17 = 61 ✓
linked_eq

Question 18

9 years ago, the ratio of Anthony's age to Sofia's age was 7:3. Currently, the ratio is 4:1. Find Anthony's present age.
Let present ages be 4k and 1k
9 years ago: (4k-9)/(1k-9) = 7/3
Solving gives k = 9, so Anthony = 36
hidden

Question 19

Rylee is 4/11 of Christopher's age. After 22 years, Rylee will be 2/5 of Christopher's age. Find Rylee's present age.
Let Christopher = x, then Rylee = 4/11x
After 22 years: 4/11x + 22 = 2/5(x + 22)
Solving gives x = 88, so Rylee = 32
fraction, ratio

Question 20

5 years ago, the ratio of Babita's age to Nevaeh's age was 1:4. 10 years from now, the ratio will be 2:7. Find Babita's present age.
Let Babita's present age = x, Nevaeh's present age = y
5 years ago: (x-5)/(y-5) = 1/4
10 years from now: (x+10)/(y+10) = 2/7
Solving these equations gives x = 10, y = 40
ratio, past-future, equation
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