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

Quick intensive drill ★ session: 20 beginner-intermediate-level age-based puzzles questions. Worksheet 7 of 30 - Focus: family ages. Practice family ages, generational puzzles, age sequencing with instant feedback. Great for developing students needing building on fundamentals with moderate challenges practice.

📝 Worksheet 7 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner-intermediate level

What you'll learn in this worksheet:

Start with family ages fundamentals and build up
Progress to advanced generational puzzles problem-solving
Challenge yourself with intensive drill ★ scenarios
Deepen understanding of age sequencing concepts
Complete the family ages mastery track

Your progress through Age-Based Puzzles

Worksheet 7 of 30 (23% complete)

Question 1

The ratio of Anmol's age to Ajay's age is 5:8. After 16 years, the ratio will become 7:11. Find Anmol's present age.

Let Anmol = 5k, Ajay = 8k
After 16 years: (5k+16)/(8k+16) = 7/11
Solving gives k = 8, so Anmol = 40

ratio, future

Question 2

The product of the ages of Wyatt, Renu, and Charu is 1944. 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 = 1944 ÷ (x × 2x) = 1944 ÷ (2x²)
Testing x = 9: middle = 1944 ÷ (2 × 9²) = 12
Therefore, eldest = 18

product

Question 3

Hemant is 14 years old and Karthik is 10 years old. What will be their combined age after 4 years?

Hemant will be 14 + 4 = 18
Karthik will be 10 + 4 = 14
Combined = 18 + 14 = 32

future_past

Question 4

Natalie is 24 years old in 2022. In what year was Natalie born?

2022 - 24 = 1998

year_birth

Question 5

Katia is half as old as Srishti was when Katia was 26 years old. If Srishti is now 49 years old, find Katia's current age.

When Katia was 26 years old, that was 9 years ago
At that time, Srishti was 49 - 9 = 40 years old
Now Katia is half of 40
Therefore, Katia's current age = 40 ÷ 2 = 20

logic_ratio

Question 6

The difference between Arthur and Samantha's ages is 60 years. In 7 years, Arthur's age will be 3 times Samantha's age. How old is Arthur now?

Let Samantha = x = 23
Then Arthur = x + 60 = 23 + 60 = 83
Check: In 7 years, Arthur+7 = 90
3 × (Samantha+7) = 3 × 30 = 90 ✓

diff_mult

Question 7

Tournament participants: Vandana, Brielle, Noah, Shubham Given the following clues: 1. Vandana is younger than Brielle 2. Brielle is younger than Noah 3. Noah is younger than Shubham 4. Each person is exactly 3 years older than the person immediately younger than them. 5. Shubham is 33 years old. Determine Brielle's age.

Step 1: From clues 1-3, the age order from youngest to oldest is:
Vandana → Brielle → Noah → Shubham

Step 2: From clue 4, each consecutive person differs by exactly 3 years.
So if youngest = x, then: Vandana=x, Brielle=x+3, Noah=x+6, Shubham=x+9

Step 3: From clue 5, Shubham (the 4th (oldest)) = 33
Therefore, x + 9 = 33
Solving: x = 33 - 9 = 24

Step 4: All ages are:
• Vandana = 24
• Brielle = 27
• Noah = 30
• Shubham = 33

Step 5: Brielle is the 2nd.
Therefore, Brielle = 27

ranking

Question 8

The ratio of Aditi's age to Miles's age is 3:5. After 12 years, the ratio will become 5:8. Find Aditi's present age.

Let Aditi = 3k, Miles = 5k
After 12 years: (3k+12)/(5k+12) = 5/8
Solving gives k = 12, so Aditi = 36

ratio, future

Question 9

Emilia is 14 years old and Lucia is 25 years old. What will be their combined age after 5 years?

Emilia will be 14 + 5 = 19
Lucia will be 25 + 5 = 30
Combined = 19 + 30 = 49

future_past

Question 10

Monika is 3 years older than Sarabjit, Sarabjit is 3 years older than Gauri, and the sum of their ages is 75. What is Monika's age?

Let Gauri = 22
Then Sarabjit = 22 + 3 = 25
And Monika = 25 + 3 = 28
Check sum: 28 + 25 + 22 = 75 ✓

linked_eq

Question 11

Four people: Arthur, Kunal, Caroline, Alok Given: 1. The sum of all four ages is 105 2. Arthur + Kunal = 36 3. Alok is 11 years older than Caroline 4. Arthur is 15 years old Find Caroline's age.

Step 1: From clue 4, Arthur = 15

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, Caroline = 29

Complete ages: Arthur=15, Kunal=21, Caroline=29, Alok=40

grid_logic

Question 12

In a family, Alexander : Grace = 5:3 and Grace : Gael = 4:1. The sum of their ages is 175. Find Grace's age.

Let common ratio for Grace be 12
Then Alexander:Grace:Gael = 20:12:3
Sum of ratios = 35
Each unit = 175 ÷ 35 = 5
Grace's age = 12 × 5 = 60

threegen

Question 13

If Anjali were 7 years younger, she would be 2/5 of Jai's age 5 years from now. If Anjali is 7 years younger than Jai, find Anjali's present age.

Let Jai = 35, then Anjali = 28
Check: (28 - 7) = 2/5 × (35 + 5)
21 = 2/5 × 40 ✓

conditional

Question 14

Four people: Ishan, Prasanna, Savita, Emmett Given: 1. The sum of all four ages is 129 2. Ishan + Prasanna = 45 3. Emmett is 12 years older than Savita 4. Savita is 36 years old Find Ishan's age.

Step 1: From clue 4, Savita = 36

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, Ishan = 20

Complete ages: Ishan=20, Prasanna=25, Savita=36, Emmett=48

grid_logic

Question 15

The average age of 6 people is 34. If Gabriella (age 28) leaves and a new person joins, the average becomes 35. Find the age of the new person.

Initial total = 34 × 6 = 204
After Gabriella leaves: 204 - 28 = 176
New total = 35 × 6 = 210
New person's age = 210 - (176) = 34

average

Question 16

12 years ago, the ratio of Aish's age to Diego's age was 2:3. 24 years from now, the ratio will be 3:4. Find Aish's present age.

Let Aish's present age = x, Diego's present age = y
12 years ago: (x-12)/(y-12) = 2/3
24 years from now: (x+24)/(y+24) = 3/4
Solving these equations gives x = 36, y = 54

ratio, past-future, equation

Question 17

10 years ago, the ratio of Ankur's age to Maya's age was 2:5. 20 years from now, the ratio will be 3:7. Find Ankur's present age.

Let Ankur's present age = x, Maya's present age = y
10 years ago: (x-10)/(y-10) = 2/5
20 years from now: (x+20)/(y+20) = 3/7
Solving these equations gives x = 30, y = 75

ratio, past-future, equation

Question 18

In a family, Rowan : Sushma = 7:4 and Sushma : Savita = 3:1. The sum of their ages is 148. Find Sushma's age.

Let common ratio for Sushma be 12
Then Rowan:Sushma:Savita = 21:12:4
Sum of ratios = 37
Each unit = 148 ÷ 37 = 4
Sushma's age = 12 × 4 = 48

threegen

Question 19

4 years ago, the ratio of Hari's age to Deepa's age was 1:3. 8 years from now, the ratio will be 2:5. Find Hari's present age.

Let Hari's present age = x, Deepa's present age = y
4 years ago: (x-4)/(y-4) = 1/3
8 years from now: (x+8)/(y+8) = 2/5
Solving these equations gives x = 8, y = 24

ratio, past-future, equation

Question 20

Paresh is 5 years older than Monika, Monika is 4 years older than Vrijesh, and the sum of their ages is 43. What is Paresh's age?

Let Vrijesh = 10
Then Monika = 10 + 4 = 14
And Paresh = 14 + 5 = 19
Check sum: 19 + 14 + 10 = 43 ✓

linked_eq

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