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Fraction Change Over Time - Intermediate Level: tricky scenarios handling Fraction Change Over Time INTERMEDIATE

This expert challenge 📈 worksheet focuses on Fraction Change Over Time - a key topic in Age Based Puzzles. You'll solve 20 intermediate-level problems (Worksheet 5 of 10). The primary focus is on tricky scenarios handling. Master how to solve fraction change over time, fraction change over time tricks, and fraction change over time shortcut methods through systematic practice.

📝 Worksheet 5 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate level

What you'll learn in this worksheet:
Your progress through Fraction Change Over Time
Worksheet 5 of 10 (44% complete)

Question 1

Currently, Gael is 1/5 of Parker's age. After 8 years, Gael will be 1/4 of Parker's age. Find Gael's present age.
Let Parker = x, then Gael = 1/5x
After 8 years: 1/5x + 8 = 1/4(x + 8)
Solving gives x = 80, so Gael = 16

Question 2

Currently, Tucker is 3/10 of Kai's age. After 8 years, Tucker will be 1/3 of Kai's age. Find Tucker's present age.
Let Kai = x, then Tucker = 3/10x
After 8 years: 3/10x + 8 = 1/3(x + 8)
Solving gives x = 80, so Tucker = 24

Question 3

Currently, Arjun is 2/3 of Mahak's age. After 16 years, Arjun will be 3/4 of Mahak's age. Find Arjun's present age.
Let Mahak = x, then Arjun = 2/3x
After 16 years: 2/3x + 16 = 3/4(x + 16)
Solving gives x = 48, so Arjun = 32

Question 4

Currently, Mehul is 1/5 of Raghav's age. After 10 years, Mehul will be 1/4 of Raghav's age. Find Mehul's present age.
Let Raghav = x, then Mehul = 1/5x
After 10 years: 1/5x + 10 = 1/4(x + 10)
Solving gives x = 100, so Mehul = 20

Question 5

Currently, Hannah is 1/4 of Prasanna's age. After 6 years, Hannah will be 1/3 of Prasanna's age. Find Hannah's present age.
Let Prasanna = x, then Hannah = 1/4x
After 6 years: 1/4x + 6 = 1/3(x + 6)
Solving gives x = 48, so Hannah = 12

Question 6

Currently, Kush is 3/10 of Omar's age. After 12 years, Kush will be 1/3 of Omar's age. Find Kush's present age.
Let Omar = x, then Kush = 3/10x
After 12 years: 3/10x + 12 = 1/3(x + 12)
Solving gives x = 120, so Kush = 36

Question 7

Currently, Sourav is 1/5 of Caroline's age. After 10 years, Sourav will be 1/4 of Caroline's age. Find Sourav's present age.
Let Caroline = x, then Sourav = 1/5x
After 10 years: 1/5x + 10 = 1/4(x + 10)
Solving gives x = 100, so Sourav = 20

Question 8

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

Question 9

Currently, Raveena is 1/3 of Xavier's age. After 10 years, Raveena will be 1/2 of Xavier's age. Find Raveena's present age.
Let Xavier = x, then Raveena = 1/3x
After 10 years: 1/3x + 10 = 1/2(x + 10)
Solving gives x = 60, so Raveena = 20

Question 10

Currently, Sushma is 1/3 of Shailesh's age. After 6 years, Sushma will be 1/2 of Shailesh's age. Find Sushma's present age.
Let Shailesh = x, then Sushma = 1/3x
After 6 years: 1/3x + 6 = 1/2(x + 6)
Solving gives x = 36, so Sushma = 12

Question 11

Currently, Tanu is 1/3 of Violet's age. After 3 years, Tanu will be 1/2 of Violet's age. Find Tanu's present age.
Let Violet = x, then Tanu = 1/3x
After 3 years: 1/3x + 3 = 1/2(x + 3)
Solving gives x = 18, so Tanu = 6

Question 12

Currently, Theo is 4/7 of Lakshmi's age. After 12 years, Theo will be 2/3 of Lakshmi's age. Find Theo's present age.
Let Lakshmi = x, then Theo = 4/7x
After 12 years: 4/7x + 12 = 2/3(x + 12)
Solving gives x = 63, so Theo = 36

Question 13

Currently, Shubham is 3/4 of Thomas's age. After 5 years, Shubham will be 4/5 of Thomas's age. Find Shubham's present age.
Let Thomas = x, then Shubham = 3/4x
After 5 years: 3/4x + 5 = 4/5(x + 5)
Solving gives x = 20, so Shubham = 15

Question 14

Currently, Mia is 5/8 of Lucia's age. After 8 years, Mia will be 2/3 of Lucia's age. Find Mia's present age.
Let Lucia = x, then Mia = 5/8x
After 8 years: 5/8x + 8 = 2/3(x + 8)
Solving gives x = 40, so Mia = 25

Question 15

Currently, Yash is 3/5 of Anna's age. After 5 years, Yash will be 2/3 of Anna's age. Find Yash's present age.
Let Anna = x, then Yash = 3/5x
After 5 years: 3/5x + 5 = 2/3(x + 5)
Solving gives x = 25, so Yash = 15

Question 16

Currently, Vikas is 5/12 of Allison's age. After 9 years, Vikas will be 3/7 of Allison's age. Find Vikas's present age.
Let Allison = x, then Vikas = 5/12x
After 9 years: 5/12x + 9 = 3/7(x + 9)
Solving gives x = 72, so Vikas = 30

Question 17

Currently, Clara is 1/5 of Serenity's age. After 6 years, Clara will be 1/4 of Serenity's age. Find Clara's present age.
Let Serenity = x, then Clara = 1/5x
After 6 years: 1/5x + 6 = 1/4(x + 6)
Solving gives x = 60, so Clara = 12

Question 18

Currently, Karan is 3/8 of Om's age. After 10 years, Karan will be 2/5 of Om's age. Find Karan's present age.
Let Om = x, then Karan = 3/8x
After 10 years: 3/8x + 10 = 2/5(x + 10)
Solving gives x = 80, so Karan = 30

Question 19

Currently, Ayush is 1/3 of Marcus's age. After 6 years, Ayush will be 1/2 of Marcus's age. Find Ayush's present age.
Let Marcus = x, then Ayush = 1/3x
After 6 years: 1/3x + 6 = 1/2(x + 6)
Solving gives x = 36, so Ayush = 12

Question 20

Currently, Adrian is 2/3 of Ravi's age. After 12 years, Adrian will be 3/4 of Ravi's age. Find Adrian's present age.
Let Ravi = x, then Adrian = 2/3x
After 12 years: 2/3x + 12 = 3/4(x + 12)
Solving gives x = 36, so Adrian = 24
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