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Hidden Equation Beginner-Intermediate Worksheet: Focus on common variations practice Hidden Equation BEGINNER INTERMEDIATE

Level up your Hidden Equation skills! You're at Worksheet 4 of 10 (33% through this series). This step-up challenge worksheet features 20 beginner-intermediate-level problems with a focus on common variations practice. Topics covered: hidden equation for competitive exams, how to solve hidden equation, hidden equation tricks.

📝 Worksheet 4 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner Intermediate level

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Worksheet 4 of 10 (33% complete)

Question 1

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

Question 2

9 years ago, the ratio of Stefan's age to Shivam's age was 8:1. Currently, the ratio is 10:3. Find Stefan's present age.
Let present ages be 10k and 3k
9 years ago: (10k-9)/(3k-9) = 8/1
Solving gives k = 9, so Stefan = 90

Question 3

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

Question 4

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

Question 5

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

Question 6

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

Question 7

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

Question 8

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

Question 9

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

Question 10

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

Question 11

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

Question 12

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

Question 13

9 years ago, the ratio of Manoj's age to Ravi's age was 8:1. Currently, the ratio is 10:3. Find Manoj's present age.
Let present ages be 10k and 3k
9 years ago: (10k-9)/(3k-9) = 8/1
Solving gives k = 9, so Manoj = 90

Question 14

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

Question 15

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

Question 16

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

Question 17

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

Question 18

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

Question 19

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

Question 20

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