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Ratio Change Two Points: Worksheet 10 - Expert Practice Ratio Change Two Points EXPERT

Ready to master Ratio Change Two Points? This accuracy focus 👑 worksheet (10/10) presents 20 expert-level challenges. Focus area: application-based learning. Learn to solve ratio change two points reasoning tricks, handle fast ratio change two points solving, and perfect ratio change two points 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:
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Worksheet 10 of 10 (100% complete)

Question 1

6 years ago, the ratio of Nirmala's age to Sameer's age was 3:4. 12 years from now, the ratio will be 4:5. Find Nirmala's present age.
Let Nirmala's present age = x, Sameer's present age = y
6 years ago: (x-6)/(y-6) = 3/4
12 years from now: (x+12)/(y+12) = 4/5
Solving these equations gives x = 18, y = 24

Question 2

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

11 years ago, the ratio of Bina's age to Brielle's age was 3:8. 22 years from now, the ratio will be 4:11. Find Bina's present age.
Let Bina's present age = x, Brielle'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 4

6 years ago, the ratio of Brijesh's age to Mansi's age was 1:5. 12 years from now, the ratio will be 2:9. Find Brijesh's present age.
Let Brijesh's present age = x, Mansi'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 5

10 years ago, the ratio of Vinay's age to Paisley's age was 2:3. 20 years from now, the ratio will be 3:4. Find Vinay's present age.
Let Vinay's present age = x, Paisley's present age = y
10 years ago: (x-10)/(y-10) = 2/3
20 years from now: (x+20)/(y+20) = 3/4
Solving these equations gives x = 30, y = 45

Question 6

10 years ago, the ratio of Carmen's age to Sophie's age was 4:5. 20 years from now, the ratio will be 5:6. Find Carmen's present age.
Let Carmen's present age = x, Sophie'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 7

4 years ago, the ratio of Mridul's age to Arjun's age was 1:3. 8 years from now, the ratio will be 2:5. Find Mridul's present age.
Let Mridul's present age = x, Arjun's present age = y
4 years ago: (x-4)/(y-4) = 1/3
8 years from now: (x+8)/(y+8) = 2/5
Solving these equations gives x = 8, y = 24

Question 8

10 years ago, the ratio of Louis's age to Sagar's age was 3:5. 20 years from now, the ratio will be 2:3. Find Louis's present age.
Let Louis's present age = x, Sagar's present age = y
10 years ago: (x-10)/(y-10) = 3/5
20 years from now: (x+20)/(y+20) = 2/3
Solving these equations gives x = 30, y = 50

Question 9

11 years ago, the ratio of Bhuvnesh's age to Vijay's age was 3:8. 22 years from now, the ratio will be 4:11. Find Bhuvnesh's present age.
Let Bhuvnesh's present age = x, Vijay'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 10

15 years ago, the ratio of Lakhvinder's age to Bharat's age was 4:5. 30 years from now, the ratio will be 5:6. Find Lakhvinder's present age.
Let Lakhvinder's present age = x, Bharat's present age = y
15 years ago: (x-15)/(y-15) = 4/5
30 years from now: (x+30)/(y+30) = 5/6
Solving these equations gives x = 60, y = 75

Question 11

8 years ago, the ratio of Victoria's age to Navin's age was 1:3. 16 years from now, the ratio will be 2:5. Find Victoria's present age.
Let Victoria's present age = x, Navin'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 12

10 years ago, the ratio of Isla's age to Elizabeth's age was 4:9. 20 years from now, the ratio will be 5:12. Find Isla's present age.
Let Isla's present age = x, Elizabeth'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 13

8 years ago, the ratio of Brooklyn's age to Valentina's age was 2:3. 16 years from now, the ratio will be 3:4. Find Brooklyn's present age.
Let Brooklyn's present age = x, Valentina's present age = y
8 years ago: (x-8)/(y-8) = 2/3
16 years from now: (x+16)/(y+16) = 3/4
Solving these equations gives x = 24, y = 36

Question 14

10 years ago, the ratio of Revathi's age to Samyukta's age was 3:5. 20 years from now, the ratio will be 2:3. Find Revathi's present age.
Let Revathi's present age = x, Samyukta's present age = y
10 years ago: (x-10)/(y-10) = 3/5
20 years from now: (x+20)/(y+20) = 2/3
Solving these equations gives x = 30, y = 50

Question 15

10 years ago, the ratio of Satish's age to Harrison's age was 4:9. 20 years from now, the ratio will be 5:12. Find Satish's present age.
Let Satish's present age = x, Harrison'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 16

6 years ago, the ratio of Abhay's age to Tushar's age was 1:4. 12 years from now, the ratio will be 2:7. Find Abhay's present age.
Let Abhay's present age = x, Tushar'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 17

8 years ago, the ratio of Sumit's age to Sasha's age was 1:3. 16 years from now, the ratio will be 2:5. Find Sumit's present age.
Let Sumit's present age = x, Sasha'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 18

8 years ago, the ratio of Kai's age to Anthony's age was 2:7. 16 years from now, the ratio will be 3:10. Find Kai's present age.
Let Kai's present age = x, Anthony's present age = y
8 years ago: (x-8)/(y-8) = 2/7
16 years from now: (x+16)/(y+16) = 3/10
Solving these equations gives x = 24, y = 84

Question 19

12 years ago, the ratio of Xena's age to Aditi's age was 3:5. 24 years from now, the ratio will be 2:3. Find Xena's present age.
Let Xena's present age = x, Aditi's present age = y
12 years ago: (x-12)/(y-12) = 3/5
24 years from now: (x+24)/(y+24) = 2/3
Solving these equations gives x = 36, y = 60

Question 20

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