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Ratio Change Two Points - Intermediate Level: tricky scenarios handling Ratio Change Two Points INTERMEDIATE

This expert challenge 📈 worksheet focuses on Ratio Change Two Points - 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 ratio change two points, ratio change two points tricks, and ratio change two points 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 Ratio Change Two Points
Worksheet 5 of 10 (44% complete)

Question 1

10 years ago, the ratio of Lydia's age to Rupali's age was 2:5. 20 years from now, the ratio will be 3:7. Find Lydia's present age.
Let Lydia's present age = x, Rupali'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 2

12 years ago, the ratio of Damini's age to Cora's age was 2:7. 24 years from now, the ratio will be 3:10. Find Damini's present age.
Let Damini's present age = x, Cora'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 3

3 years ago, the ratio of Piper's age to Avinash's age was 3:4. 6 years from now, the ratio will be 4:5. Find Piper's present age.
Let Piper's present age = x, Avinash's present age = y
3 years ago: (x-3)/(y-3) = 3/4
6 years from now: (x+6)/(y+6) = 4/5
Solving these equations gives x = 9, y = 12

Question 4

8 years ago, the ratio of Emma's age to Nira's age was 1:3. 16 years from now, the ratio will be 2:5. Find Emma's present age.
Let Emma's present age = x, Nira's present age = y
8 years ago: (x-8)/(y-8) = 1/3
16 years from now: (x+16)/(y+16) = 2/5
Solving these equations gives x = 16, y = 48

Question 5

4 years ago, the ratio of Sunita's age to Evan's age was 1:2. 8 years from now, the ratio will be 3:5. Find Sunita's present age.
Let Sunita's present age = x, Evan's present age = y
4 years ago: (x-4)/(y-4) = 1/2
8 years from now: (x+8)/(y+8) = 3/5
Solving these equations gives x = 8, y = 16

Question 6

6 years ago, the ratio of Bentley's age to Alexander's age was 1:2. 12 years from now, the ratio will be 3:5. Find Bentley's present age.
Let Bentley's present age = x, Alexander's present age = y
6 years ago: (x-6)/(y-6) = 1/2
12 years from now: (x+12)/(y+12) = 3/5
Solving these equations gives x = 12, y = 24

Question 7

10 years ago, the ratio of Mehul's age to Bhuvnesh's age was 1:5. 20 years from now, the ratio will be 2:9. Find Mehul's present age.
Let Mehul's present age = x, Bhuvnesh'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 8

8 years ago, the ratio of Scarlett's age to Willow's age was 4:5. 16 years from now, the ratio will be 5:6. Find Scarlett's present age.
Let Scarlett's present age = x, Willow'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 9

8 years ago, the ratio of Riya's age to Levi's age was 2:5. 16 years from now, the ratio will be 3:7. Find Riya's present age.
Let Riya's present age = x, Levi's present age = y
8 years ago: (x-8)/(y-8) = 2/5
16 years from now: (x+16)/(y+16) = 3/7
Solving these equations gives x = 24, y = 60

Question 10

12 years ago, the ratio of Nolan's age to Jivika's age was 2:7. 24 years from now, the ratio will be 3:10. Find Nolan's present age.
Let Nolan's present age = x, Jivika'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 11

12 years ago, the ratio of Kanika's age to Ashwin's age was 4:9. 24 years from now, the ratio will be 5:12. Find Kanika's present age.
Let Kanika's present age = x, Ashwin's present age = y
12 years ago: (x-12)/(y-12) = 4/9
24 years from now: (x+24)/(y+24) = 5/12
Solving these equations gives x = 36, y = 108

Question 12

6 years ago, the ratio of Dhara's age to Ruby's age was 1:3. 12 years from now, the ratio will be 2:5. Find Dhara's present age.
Let Dhara's present age = x, Ruby's present age = y
6 years ago: (x-6)/(y-6) = 1/3
12 years from now: (x+12)/(y+12) = 2/5
Solving these equations gives x = 12, y = 36

Question 13

10 years ago, the ratio of Revathi's age to Rani's age was 1:5. 20 years from now, the ratio will be 2:9. Find Revathi's present age.
Let Revathi's present age = x, Rani'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 14

3 years ago, the ratio of Mridul's age to Marcus's age was 1:2. 6 years from now, the ratio will be 3:5. Find Mridul's present age.
Let Mridul's present age = x, Marcus's present age = y
3 years ago: (x-3)/(y-3) = 1/2
6 years from now: (x+6)/(y+6) = 3/5
Solving these equations gives x = 6, y = 12

Question 15

11 years ago, the ratio of Gajendra's age to Serenity's age was 3:8. 22 years from now, the ratio will be 4:11. Find Gajendra's present age.
Let Gajendra's present age = x, Serenity's present age = y
11 years ago: (x-11)/(y-11) = 3/8
22 years from now: (x+22)/(y+22) = 4/11
Solving these equations gives x = 33, y = 88

Question 16

7 years ago, the ratio of Dominic's age to Arjun's age was 3:7. 14 years from now, the ratio will be 4:9. Find Dominic's present age.
Let Dominic's present age = x, Arjun's present age = y
7 years ago: (x-7)/(y-7) = 3/7
14 years from now: (x+14)/(y+14) = 4/9
Solving these equations gives x = 21, y = 49

Question 17

12 years ago, the ratio of Kayden's age to Ratna's age was 4:9. 24 years from now, the ratio will be 5:12. Find Kayden's present age.
Let Kayden's present age = x, Ratna's present age = y
12 years ago: (x-12)/(y-12) = 4/9
24 years from now: (x+24)/(y+24) = 5/12
Solving these equations gives x = 36, y = 108

Question 18

4 years ago, the ratio of Mia's age to Vidya's age was 2:3. 8 years from now, the ratio will be 3:4. Find Mia's present age.
Let Mia's present age = x, Vidya'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

Question 19

3 years ago, the ratio of Austin's age to Komal's age was 3:4. 6 years from now, the ratio will be 4:5. Find Austin's present age.
Let Austin's present age = x, Komal's present age = y
3 years ago: (x-3)/(y-3) = 3/4
6 years from now: (x+6)/(y+6) = 4/5
Solving these equations gives x = 9, y = 12

Question 20

12 years ago, the ratio of Aubrey's age to Sanyam's age was 2:7. 24 years from now, the ratio will be 3:10. Find Aubrey's present age.
Let Aubrey's present age = x, Sanyam'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
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