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Age-Based Puzzles - Expert Level: ratio ages EXPERT

Comprehensive self assessment worksheet covering 20 expert-level age-based puzzles problems. Worksheet 28 of 30 emphasizes ratio ages. Master family ages, generational puzzles, age sequencing through detailed explanations. Difficulty: challenging problems and time-bound practice. Tailored for expert-level preparation.

📝 Worksheet 28 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Expert level

What you'll learn in this worksheet:
Your progress through Age-Based Puzzles
Worksheet 28 of 30 (93% complete)

Question 1

Theo and Lucia are twins. If Theo is 34 years old now, how old was Lucia 7 years ago?
Twins have the same age. 7 years ago, both were 34 - 7 = 27
twins

Question 2

If Bella were 8 years younger, she would be 3/8 of Vandana's age 7 years from now. If Bella is 8 years younger than Vandana, find Bella's present age.
Let Vandana = 48, then Bella = 40
Check: (40 - 8) = 3/8 × (48 + 7)
32 = 3/8 × 55 ✓
conditional

Question 3

9 years ago, the ratio of Sahil's age to Clara's age was 3:4. 18 years from now, the ratio will be 4:5. Find Sahil's present age.
Let Sahil's present age = x, Clara's present age = y
9 years ago: (x-9)/(y-9) = 3/4
18 years from now: (x+18)/(y+18) = 4/5
Solving these equations gives x = 27, y = 36
ratio, past-future, equation

Question 4

Tournament participants: Vatsal, Tucker, Kashish, Drishti Given the following clues: 1. Vatsal is younger than Tucker 2. Tucker is younger than Kashish 3. Kashish is younger than Drishti 4. Each person is exactly 3 years older than the person immediately younger than them. 5. Drishti is 27 years old. Determine Kashish's age.
Step 1: From clues 1-3, the age order from youngest to oldest is:
Vatsal → Tucker → Kashish → Drishti

Step 2: From clue 4, each consecutive person differs by exactly 3 years.
So if youngest = x, then: Vatsal=x, Tucker=x+3, Kashish=x+6, Drishti=x+9

Step 3: From clue 5, Drishti (the 4th (oldest)) = 27
Therefore, x + 9 = 27
Solving: x = 27 - 9 = 18

Step 4: All ages are:
• Vatsal = 18
• Tucker = 21
• Kashish = 24
• Drishti = 27

Step 5: Kashish is the 3rd.
Therefore, Kashish = 24
ranking

Question 5

John and Carmen are twins. If John is 12 years old now, how old was Carmen 7 years ago?
Twins have the same age. 7 years ago, both were 12 - 7 = 5
twins

Question 6

Karan is 2 years older than Madhav, Madhav is 2 years older than Damian, and the sum of their ages is 48. What is Karan's age?
Let Damian = 14
Then Madhav = 14 + 2 = 16
And Karan = 16 + 2 = 18
Check sum: 18 + 16 + 14 = 48 ✓
linked_eq

Question 7

Penelope is 2/11 of Eva's age. After 22 years, Penelope will be 1/5 of Eva's age. Find Penelope's present age.
Let Eva = x, then Penelope = 2/11x
After 22 years: 2/11x + 22 = 1/5(x + 22)
Solving gives x = 66, so Penelope = 12
fraction, ratio

Question 8

Ariana is 2 times as old as his son Janvi. After 6 years, the sum of their ages will be 57. How old is Janvi now?
Let son's age = x, then father's age = 2x
After 6 years: (2x+6) + (x+6) = 57
(2+1)x + 12 = 57
(3)x = 45
x = 15
fatherson

Question 9

Dhanush is 21 years old and Ellie is 33 years old. What will be their combined age after 4 years?
Dhanush will be 21 + 4 = 25
Ellie will be 33 + 4 = 37
Combined = 25 + 37 = 62
future_past

Question 10

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

Question 11

Valentina is 5/16 of Karan's age. After 32 years, Valentina will be 3/10 of Karan's age. Find Valentina's present age.
Let Karan = x, then Valentina = 5/16x
After 32 years: 5/16x + 32 = 3/10(x + 32)
Solving gives x = 128, so Valentina = 40
fraction, ratio

Question 12

Falguni is twice as old as Shanti was when Rashmi was as old as Falguni is now. If Rashmi is currently 40 years old, find Falguni's age.
When Rashmi was 46 years old, that was 6 years ago
At that time, Shanti was 23
Now Falguni = 2 × 23 = 46 ✓
cross

Question 13

The sum of ages of Ishika, Navya, and Vimal is 50. Their ages are in the ratio 4:3:3. How old is Ishika?
Sum of ratios = 4 + 3 + 3 = 10
Each unit = 50 ÷ 10 = 5
Ishika's ratio = 4
Age = 4 × 5 = 20
sum, ratio

Question 14

Nitin is half as old as Vishal was when Nitin was 13 years old. If Vishal is now 37 years old, find Nitin's current age.
When Nitin was 13 years old, that was 11 years ago
At that time, Vishal was 37 - 11 = 26 years old
Now Nitin is half of 26
Therefore, Nitin's current age = 26 ÷ 2 = 13
logic_ratio

Question 15

The product of the ages of Rupali and Bhuvnesh is 504, and the sum of their ages is 45. Find Rupali's age.
Let ages be x and y.
xy = 504
x + y = 45
Solving gives x = 21, y = 24
Therefore, Rupali's age = 24
product, sum-diff

Question 16

Raveena and Rohan are twins. If Raveena is 18 years old now, how old was Rohan 3 years ago?
Twins have the same age. 3 years ago, both were 18 - 3 = 15
twins

Question 17

The ratio of Zoya's age to Kanika's age is 3:10. After 26 years, the ratio will become 4:13. Find Zoya's present age.
Let Zoya = 3k, Kanika = 10k
After 26 years: (3k+26)/(10k+26) = 4/13
Solving gives k = 12, so Zoya = 36
ratio, future

Question 18

If Austin were 9 years younger, she would be 5/12 of Pravin's age 10 years from now. If Austin is 36 years younger than Pravin, find Austin's present age.
Let Pravin = 81, then Austin = 45
Check: (45 - 9) = 5/12 × (81 + 10)
36 = 5/12 × 91 ✓
conditional, fraction

Question 19

Vatsal is 5 years older than Yash, Yash is 4 years older than Payal, and the sum of their ages is 88. What is Vatsal's age?
Let Payal = 25
Then Yash = 25 + 4 = 29
And Vatsal = 29 + 5 = 34
Check sum: 34 + 29 + 25 = 88 ✓
linked_eq

Question 20

Paresh is 2 times as old as his son Veena. After 5 years, the sum of their ages will be 43. How old is Veena now?
Let son's age = x, then father's age = 2x
After 5 years: (2x+5) + (x+5) = 43
(2+1)x + 10 = 43
(3)x = 33
x = 11
fatherson
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