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Hidden Equation - Intermediate Level: tricky scenarios handling Hidden Equation INTERMEDIATE

This expert challenge 📈 worksheet focuses on Hidden Equation - 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 hidden equation, hidden equation tricks, and hidden equation 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 Hidden Equation
Worksheet 5 of 10 (44% complete)

Question 1

10 years ago, the ratio of Vrijesh's age to Ritika's age was 9:4. Currently, the ratio is 8:1. Find Vrijesh's present age.
Let present ages be 8k and 1k
10 years ago: (8k-10)/(1k-10) = 9/4
Solving gives k = 10, so Vrijesh = 80

Question 2

5 years ago, the ratio of Meena's age to Yara's age was 5:1. Currently, the ratio is 8:3. Find Meena's present age.
Let present ages be 8k and 3k
5 years ago: (8k-5)/(3k-5) = 5/1
Solving gives k = 5, so Meena = 40

Question 3

7 years ago, the ratio of Uma's age to Savita's age was 7:1. Currently, the ratio is 9:2. Find Uma's present age.
Let present ages be 9k and 2k
7 years ago: (9k-7)/(2k-7) = 7/1
Solving gives k = 7, so Uma = 63

Question 4

8 years ago, the ratio of Diego's age to Manan's age was 5:1. Currently, the ratio is 8:3. Find Diego's present age.
Let present ages be 8k and 3k
8 years ago: (8k-8)/(3k-8) = 5/1
Solving gives k = 8, so Diego = 64

Question 5

6 years ago, the ratio of Chetan's age to Prerna's age was 5:2. Currently, the ratio is 4:1. Find Chetan's present age.
Let present ages be 4k and 1k
6 years ago: (4k-6)/(1k-6) = 5/2
Solving gives k = 9, so Chetan = 36

Question 6

3 years ago, the ratio of Sadie's age to Rishi's age was 3:2. Currently, the ratio is 4:1. Find Sadie's present age.
Let present ages be 4k and 1k
3 years ago: (4k-3)/(1k-3) = 3/2
Solving gives k = 6, so Sadie = 24

Question 7

10 years ago, the ratio of Jaideep's age to Alex's age was 9:4. Currently, the ratio is 8:1. Find Jaideep's present age.
Let present ages be 8k and 1k
10 years ago: (8k-10)/(1k-10) = 9/4
Solving gives k = 10, so Jaideep = 80

Question 8

6 years ago, the ratio of Pranav's age to Vrijesh's age was 5:2. Currently, the ratio is 4:1. Find Pranav's present age.
Let present ages be 4k and 1k
6 years ago: (4k-6)/(1k-6) = 5/2
Solving gives k = 9, so Pranav = 36

Question 9

8 years ago, the ratio of Dolly's age to Manpreet's age was 5:3. Currently, the ratio is 3:1. Find Dolly's present age.
Let present ages be 3k and 1k
8 years ago: (3k-8)/(1k-8) = 5/3
Solving gives k = 16, so Dolly = 48

Question 10

6 years ago, the ratio of Santosh's age to Tarun's age was 7:1. Currently, the ratio is 11:4. Find Santosh's present age.
Let present ages be 11k and 4k
6 years ago: (11k-6)/(4k-6) = 7/1
Solving gives k = 6, so Santosh = 66

Question 11

7 years ago, the ratio of Angel's age to John's age was 8:1. Currently, the ratio is 12:5. Find Angel's present age.
Let present ages be 12k and 5k
7 years ago: (12k-7)/(5k-7) = 8/1
Solving gives k = 7, so Angel = 84

Question 12

5 years ago, the ratio of Andre's age to Arthur's age was 7:1. Currently, the ratio is 10:3. Find Andre's present age.
Let present ages be 10k and 3k
5 years ago: (10k-5)/(3k-5) = 7/1
Solving gives k = 5, so Andre = 50

Question 13

4 years ago, the ratio of Tyler's age to Chaman's age was 5:1. Currently, the ratio is 7:2. Find Tyler's present age.
Let present ages be 7k and 2k
4 years ago: (7k-4)/(2k-4) = 5/1
Solving gives k = 4, so Tyler = 28

Question 14

4 years ago, the ratio of Vinod's age to Nevaeh's age was 5:1. Currently, the ratio is 9:4. Find Vinod's present age.
Let present ages be 9k and 4k
4 years ago: (9k-4)/(4k-4) = 5/1
Solving gives k = 4, so Vinod = 36

Question 15

6 years ago, the ratio of Nisha's age to Tripti's age was 5:2. Currently, the ratio is 4:1. Find Nisha's present age.
Let present ages be 4k and 1k
6 years ago: (4k-6)/(1k-6) = 5/2
Solving gives k = 9, so Nisha = 36

Question 16

10 years ago, the ratio of Radhika's age to Prashant's age was 9:4. Currently, the ratio is 8:1. Find Radhika's present age.
Let present ages be 8k and 1k
10 years ago: (8k-10)/(1k-10) = 9/4
Solving gives k = 10, so Radhika = 80

Question 17

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

Question 18

7 years ago, the ratio of Puneet's age to Nevaeh's age was 7:1. Currently, the ratio is 9:2. Find Puneet's present age.
Let present ages be 9k and 2k
7 years ago: (9k-7)/(2k-7) = 7/1
Solving gives k = 7, so Puneet = 63

Question 19

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

Question 20

8 years ago, the ratio of Ivy's age to Eva's age was 5:3. Currently, the ratio is 3:1. Find Ivy's present age.
Let present ages be 3k and 1k
8 years ago: (3k-8)/(1k-8) = 5/3
Solving gives k = 16, so Ivy = 48
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