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Hidden Equation - Absolute-Beginner Level: core concept mastery Hidden Equation ABSOLUTE BEGINNER

This skill primer 🌟 worksheet focuses on Hidden Equation - a key topic in Age Based Puzzles. You'll solve 20 absolute-beginner-level problems (Worksheet 1 of 10). The primary focus is on core concept mastery. Master hidden equation problems, hidden equation reasoning questions, and hidden equation practice through systematic practice.

📝 Worksheet 1 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Absolute Beginner level

What you'll learn in this worksheet:
Your progress through Hidden Equation
Worksheet 1 of 10 (0% complete)

Question 1

7 years ago, the ratio of Kabir's age to Manas's age was 4:1. Currently, the ratio is 5:2. Find Kabir's present age.
Let present ages be 5k and 2k
7 years ago: (5k-7)/(2k-7) = 4/1
Solving gives k = 7, so Kabir = 35

Question 2

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

Question 3

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

Question 4

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

Question 5

6 years ago, the ratio of Kumud's age to Gauri's age was 3:1. Currently, the ratio is 7:4. Find Kumud's present age.
Let present ages be 7k and 4k
6 years ago: (7k-6)/(4k-6) = 3/1
Solving gives k = 6, so Kumud = 42

Question 6

11 years ago, the ratio of Theodore's age to Vipul's age was 9:4. Currently, the ratio is 7:1. Find Theodore's present age.
Let present ages be 7k and 1k
11 years ago: (7k-11)/(1k-11) = 9/4
Solving gives k = 11, so Theodore = 77

Question 7

10 years ago, the ratio of Gabriella's age to Divya's age was 8:3. Currently, the ratio is 6:1. Find Gabriella's present age.
Let present ages be 6k and 1k
10 years ago: (6k-10)/(1k-10) = 8/3
Solving gives k = 10, so Gabriella = 60

Question 8

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

Question 9

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

Question 10

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

Question 11

6 years ago, the ratio of Sarabjit's age to Rakhi's age was 2:1. Currently, the ratio is 5:3. Find Sarabjit's present age.
Let present ages be 5k and 3k
6 years ago: (5k-6)/(3k-6) = 2/1
Solving gives k = 6, so Sarabjit = 30

Question 12

4 years ago, the ratio of Kishore's age to Sonam's age was 3:1. Currently, the ratio is 5:2. Find Kishore's present age.
Let present ages be 5k and 2k
4 years ago: (5k-4)/(2k-4) = 3/1
Solving gives k = 4, so Kishore = 20

Question 13

6 years ago, the ratio of Kavita's age to Niyati's age was 3:1. Currently, the ratio is 7:4. Find Kavita's present age.
Let present ages be 7k and 4k
6 years ago: (7k-6)/(4k-6) = 3/1
Solving gives k = 6, so Kavita = 42

Question 14

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

Question 15

7 years ago, the ratio of Sofia's age to George's age was 4:1. Currently, the ratio is 5:2. Find Sofia's present age.
Let present ages be 5k and 2k
7 years ago: (5k-7)/(2k-7) = 4/1
Solving gives k = 7, so Sofia = 35

Question 16

4 years ago, the ratio of Ariana's age to Aish's age was 3:1. Currently, the ratio is 5:2. Find Ariana's present age.
Let present ages be 5k and 2k
4 years ago: (5k-4)/(2k-4) = 3/1
Solving gives k = 4, so Ariana = 20

Question 17

7 years ago, the ratio of Samantha's age to Sita's age was 4:1. Currently, the ratio is 5:2. Find Samantha's present age.
Let present ages be 5k and 2k
7 years ago: (5k-7)/(2k-7) = 4/1
Solving gives k = 7, so Samantha = 35

Question 18

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

Question 19

10 years ago, the ratio of Carmen's age to Emery's age was 8:3. Currently, the ratio is 6:1. Find Carmen's present age.
Let present ages be 6k and 1k
10 years ago: (6k-10)/(1k-10) = 8/3
Solving gives k = 10, so Carmen = 60

Question 20

11 years ago, the ratio of Jitendra's age to Katia's age was 9:4. Currently, the ratio is 7:1. Find Jitendra's present age.
Let present ages be 7k and 1k
11 years ago: (7k-11)/(1k-11) = 9/4
Solving gives k = 11, so Jitendra = 77
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