ReasoningAbility.com

Hidden Equation: Worksheet 10 - Expert Practice Hidden Equation EXPERT

Ready to master Hidden Equation? This accuracy focus 👑 worksheet (10/10) presents 20 expert-level challenges. Focus area: application-based learning. Learn to solve hidden equation reasoning tricks, handle fast hidden equation solving, and perfect hidden equation mastery with our step-by-step solutions.

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

What you'll learn in this worksheet:
Your progress through Hidden Equation
Worksheet 10 of 10 (100% complete)

Question 1

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

Question 2

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

Question 3

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

Question 4

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

Question 5

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

Question 6

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

Question 7

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

Question 8

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

Question 9

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

Question 10

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

Question 11

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

Question 12

12 years ago, the ratio of Jai's age to Abel's age was 11:5. Currently, the ratio is 9:1. Find Jai's present age.
Let present ages be 9k and 1k
12 years ago: (9k-12)/(1k-12) = 11/5
Solving gives k = 12, so Jai = 108

Question 13

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

Question 14

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

Question 15

9 years ago, the ratio of David's age to Sonam's age was 8:3. Currently, the ratio is 5:2. Find David's present age.
Let present ages be 5k and 2k
9 years ago: (5k-9)/(2k-9) = 8/3
Solving gives k = 9, so David = 45

Question 16

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

Question 17

9 years ago, the ratio of Sangeeta's age to Shiva's age was 8:3. Currently, the ratio is 5:2. Find Sangeeta's present age.
Let present ages be 5k and 2k
9 years ago: (5k-9)/(2k-9) = 8/3
Solving gives k = 9, so Sangeeta = 45

Question 18

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

Question 19

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

Question 20

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