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Ratio Change Two Points: Worksheet 6 - Intermediate-Advanced Practice Ratio Change Two Points INTERMEDIATE ADVANCED

Ready to master Ratio Change Two Points? This timed practice ⚡ worksheet (6/10) presents 20 intermediate-advanced-level challenges. Focus area: speed building. Learn to solve ratio change two points tricks, handle ratio change two points shortcut methods, and perfect ratio change two points bank exam questions with our step-by-step solutions.

📝 Worksheet 6 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate Advanced level

What you'll learn in this worksheet:
Your progress through Ratio Change Two Points
Worksheet 6 of 10 (55% complete)

Question 1

15 years ago, the ratio of Deepa's age to Gabriel's age was 4:5. 30 years from now, the ratio will be 5:6. Find Deepa's present age.
Let Deepa's present age = x, Gabriel'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 2

9 years ago, the ratio of Penelope's age to Ramesh's age was 3:8. 18 years from now, the ratio will be 4:11. Find Penelope's present age.
Let Penelope's present age = x, Ramesh's present age = y
9 years ago: (x-9)/(y-9) = 3/8
18 years from now: (x+18)/(y+18) = 4/11
Solving these equations gives x = 27, y = 72

Question 3

7 years ago, the ratio of Tapsi's age to Omar's age was 1:6. 14 years from now, the ratio will be 2:11. Find Tapsi's present age.
Let Tapsi's present age = x, Omar'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 4

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

4 years ago, the ratio of Joshua's age to Sienna's age was 2:3. 8 years from now, the ratio will be 3:4. Find Joshua's present age.
Let Joshua's present age = x, Sienna'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 6

7 years ago, the ratio of Sourav's age to Marcus's age was 1:6. 14 years from now, the ratio will be 2:11. Find Sourav's present age.
Let Sourav's present age = x, Marcus'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 7

12 years ago, the ratio of Harper's age to Vinod's age was 3:5. 24 years from now, the ratio will be 2:3. Find Harper's present age.
Let Harper's present age = x, Vinod'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 8

6 years ago, the ratio of Bhuvnesh's age to Gauri's age was 2:5. 12 years from now, the ratio will be 3:7. Find Bhuvnesh's present age.
Let Bhuvnesh's present age = x, Gauri'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 9

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

5 years ago, the ratio of Sudhir's age to Henry's age was 1:4. 10 years from now, the ratio will be 2:7. Find Sudhir's present age.
Let Sudhir's present age = x, Henry's present age = y
5 years ago: (x-5)/(y-5) = 1/4
10 years from now: (x+10)/(y+10) = 2/7
Solving these equations gives x = 10, y = 40

Question 11

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

8 years ago, the ratio of Leon's age to Lucy's age was 1:2. 16 years from now, the ratio will be 3:5. Find Leon's present age.
Let Leon's present age = x, Lucy'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 13

8 years ago, the ratio of Emmett's age to Indu's age was 1:4. 16 years from now, the ratio will be 2:7. Find Emmett's present age.
Let Emmett's present age = x, Indu's present age = y
8 years ago: (x-8)/(y-8) = 1/4
16 years from now: (x+16)/(y+16) = 2/7
Solving these equations gives x = 16, y = 64

Question 14

11 years ago, the ratio of Shashi's age to Sonal's age was 3:7. 22 years from now, the ratio will be 4:9. Find Shashi's present age.
Let Shashi's present age = x, Sonal's present age = y
11 years ago: (x-11)/(y-11) = 3/7
22 years from now: (x+22)/(y+22) = 4/9
Solving these equations gives x = 33, y = 77

Question 15

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

7 years ago, the ratio of Kritika's age to Ishan's age was 3:7. 14 years from now, the ratio will be 4:9. Find Kritika's present age.
Let Kritika's present age = x, Ishan'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

4 years ago, the ratio of Vedika's age to Brooklyn's age was 3:5. 8 years from now, the ratio will be 2:3. Find Vedika's present age.
Let Vedika's present age = x, Brooklyn's present age = y
4 years ago: (x-4)/(y-4) = 3/5
8 years from now: (x+8)/(y+8) = 2/3
Solving these equations gives x = 12, y = 20

Question 18

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

4 years ago, the ratio of Pranay's age to Carmen's age was 3:5. 8 years from now, the ratio will be 2:3. Find Pranay's present age.
Let Pranay's present age = x, Carmen's present age = y
4 years ago: (x-4)/(y-4) = 3/5
8 years from now: (x+8)/(y+8) = 2/3
Solving these equations gives x = 12, y = 20

Question 20

6 years ago, the ratio of Manoj's age to Shubham's age was 3:5. 12 years from now, the ratio will be 2:3. Find Manoj's present age.
Let Manoj's present age = x, Shubham's present age = y
6 years ago: (x-6)/(y-6) = 3/5
12 years from now: (x+12)/(y+12) = 2/3
Solving these equations gives x = 18, y = 30
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