ReasoningAbility.com

Ratio Change Two Points Beginner-Intermediate Worksheet: Focus on common variations practice Ratio Change Two Points BEGINNER INTERMEDIATE

Level up your Ratio Change Two Points 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: ratio change two points for competitive exams, how to solve ratio change two points, ratio change two points tricks.

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

What you'll learn in this worksheet:
Your progress through Ratio Change Two Points
Worksheet 4 of 10 (33% complete)

Question 1

6 years ago, the ratio of Jasper's age to Pratibha's age was 2:3. 12 years from now, the ratio will be 3:4. Find Jasper's present age.
Let Jasper's present age = x, Pratibha's present age = y
6 years ago: (x-6)/(y-6) = 2/3
12 years from now: (x+12)/(y+12) = 3/4
Solving these equations gives x = 18, y = 27

Question 2

8 years ago, the ratio of Neha's age to Amira's age was 4:5. 16 years from now, the ratio will be 5:6. Find Neha's present age.
Let Neha's present age = x, Amira's present age = y
8 years ago: (x-8)/(y-8) = 4/5
16 years from now: (x+16)/(y+16) = 5/6
Solving these equations gives x = 32, y = 40

Question 3

8 years ago, the ratio of Sapna's age to Hudson's age was 1:5. 16 years from now, the ratio will be 2:9. Find Sapna's present age.
Let Sapna's present age = x, Hudson's present age = y
8 years ago: (x-8)/(y-8) = 1/5
16 years from now: (x+16)/(y+16) = 2/9
Solving these equations gives x = 16, y = 80

Question 4

7 years ago, the ratio of Kaushal's age to Vasudha's age was 1:6. 14 years from now, the ratio will be 2:11. Find Kaushal's present age.
Let Kaushal's present age = x, Vasudha's present age = y
7 years ago: (x-7)/(y-7) = 1/6
14 years from now: (x+14)/(y+14) = 2/11
Solving these equations gives x = 14, y = 84

Question 5

6 years ago, the ratio of Mila's age to Shankar's age was 1:4. 12 years from now, the ratio will be 2:7. Find Mila's present age.
Let Mila's present age = x, Shankar's present age = y
6 years ago: (x-6)/(y-6) = 1/4
12 years from now: (x+12)/(y+12) = 2/7
Solving these equations gives x = 12, y = 48

Question 6

10 years ago, the ratio of Arjun's age to Manoj's age was 2:5. 20 years from now, the ratio will be 3:7. Find Arjun's present age.
Let Arjun's present age = x, Manoj's present age = y
10 years ago: (x-10)/(y-10) = 2/5
20 years from now: (x+20)/(y+20) = 3/7
Solving these equations gives x = 30, y = 75

Question 7

5 years ago, the ratio of Madelyn's age to Sunita's age was 1:3. 10 years from now, the ratio will be 2:5. Find Madelyn's present age.
Let Madelyn's present age = x, Sunita's present age = y
5 years ago: (x-5)/(y-5) = 1/3
10 years from now: (x+10)/(y+10) = 2/5
Solving these equations gives x = 10, y = 30

Question 8

10 years ago, the ratio of Cora's age to Charlotte's age was 4:9. 20 years from now, the ratio will be 5:12. Find Cora's present age.
Let Cora's present age = x, Charlotte's present age = y
10 years ago: (x-10)/(y-10) = 4/9
20 years from now: (x+20)/(y+20) = 5/12
Solving these equations gives x = 30, y = 90

Question 9

9 years ago, the ratio of Aurora's age to Xavier's age was 3:4. 18 years from now, the ratio will be 4:5. Find Aurora's present age.
Let Aurora's present age = x, Xavier's present age = y
9 years ago: (x-9)/(y-9) = 3/4
18 years from now: (x+18)/(y+18) = 4/5
Solving these equations gives x = 27, y = 36

Question 10

10 years ago, the ratio of Shivani's age to Preeti's age was 1:3. 20 years from now, the ratio will be 2:5. Find Shivani's present age.
Let Shivani's present age = x, Preeti's present age = y
10 years ago: (x-10)/(y-10) = 1/3
20 years from now: (x+20)/(y+20) = 2/5
Solving these equations gives x = 20, y = 60

Question 11

12 years ago, the ratio of Bela's age to Ritika's age was 2:7. 24 years from now, the ratio will be 3:10. Find Bela's present age.
Let Bela's present age = x, Ritika's present age = y
12 years ago: (x-12)/(y-12) = 2/7
24 years from now: (x+24)/(y+24) = 3/10
Solving these equations gives x = 36, y = 126

Question 12

6 years ago, the ratio of Krishna's age to Shankar's age was 2:5. 12 years from now, the ratio will be 3:7. Find Krishna's present age.
Let Krishna's present age = x, Shankar's present age = y
6 years ago: (x-6)/(y-6) = 2/5
12 years from now: (x+12)/(y+12) = 3/7
Solving these equations gives x = 18, y = 45

Question 13

8 years ago, the ratio of Eleanor's age to Ram's age was 1:2. 16 years from now, the ratio will be 3:5. Find Eleanor's present age.
Let Eleanor's present age = x, Ram's present age = y
8 years ago: (x-8)/(y-8) = 1/2
16 years from now: (x+16)/(y+16) = 3/5
Solving these equations gives x = 16, y = 32

Question 14

10 years ago, the ratio of Waylon's age to Elena's age was 4:5. 20 years from now, the ratio will be 5:6. Find Waylon's present age.
Let Waylon's present age = x, Elena's present age = y
10 years ago: (x-10)/(y-10) = 4/5
20 years from now: (x+20)/(y+20) = 5/6
Solving these equations gives x = 40, y = 50

Question 15

6 years ago, the ratio of Kayden's age to Brijesh's age was 2:3. 12 years from now, the ratio will be 3:4. Find Kayden's present age.
Let Kayden's present age = x, Brijesh's present age = y
6 years ago: (x-6)/(y-6) = 2/3
12 years from now: (x+12)/(y+12) = 3/4
Solving these equations gives x = 18, y = 27

Question 16

10 years ago, the ratio of Mansi's age to Chaman's age was 1:5. 20 years from now, the ratio will be 2:9. Find Mansi's present age.
Let Mansi's present age = x, Chaman's present age = y
10 years ago: (x-10)/(y-10) = 1/5
20 years from now: (x+20)/(y+20) = 2/9
Solving these equations gives x = 20, y = 100

Question 17

6 years ago, the ratio of Pratibha's age to Leah's age was 1:5. 12 years from now, the ratio will be 2:9. Find Pratibha's present age.
Let Pratibha's present age = x, Leah's present age = y
6 years ago: (x-6)/(y-6) = 1/5
12 years from now: (x+12)/(y+12) = 2/9
Solving these equations gives x = 12, y = 60

Question 18

8 years ago, the ratio of Shweta's age to Vinod's age was 4:5. 16 years from now, the ratio will be 5:6. Find Shweta's present age.
Let Shweta's present age = x, Vinod's present age = y
8 years ago: (x-8)/(y-8) = 4/5
16 years from now: (x+16)/(y+16) = 5/6
Solving these equations gives x = 32, y = 40

Question 19

9 years ago, the ratio of Jack's age to Theo's age was 3:7. 18 years from now, the ratio will be 4:9. Find Jack's present age.
Let Jack's present age = x, Theo's present age = y
9 years ago: (x-9)/(y-9) = 3/7
18 years from now: (x+18)/(y+18) = 4/9
Solving these equations gives x = 27, y = 63

Question 20

4 years ago, the ratio of Julia's age to Tanya's age was 2:3. 8 years from now, the ratio will be 3:4. Find Julia's present age.
Let Julia's present age = x, Tanya's present age = y
4 years ago: (x-4)/(y-4) = 2/3
8 years from now: (x+8)/(y+8) = 3/4
Solving these equations gives x = 12, y = 18
Previous Worksheet Next Worksheet