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Ratio Change Two Points: Worksheet 2 - Beginner Practice Ratio Change Two Points BEGINNER

Ready to master Ratio Change Two Points? This entry level practice worksheet (2/10) presents 20 beginner-level challenges. Focus area: pattern recognition. Learn to solve ratio change two points reasoning questions, handle ratio change two points practice, and perfect ratio change two points for competitive exams with our step-by-step solutions.

📝 Worksheet 2 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner level

What you'll learn in this worksheet:
Your progress through Ratio Change Two Points
Worksheet 2 of 10 (11% complete)

Question 1

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

Question 2

9 years ago, the ratio of Sheetal's age to Penelope's age was 3:7. 18 years from now, the ratio will be 4:9. Find Sheetal's present age.
Let Sheetal's present age = x, Penelope'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 3

3 years ago, the ratio of Lucas's age to Aparna's age was 3:4. 6 years from now, the ratio will be 4:5. Find Lucas's present age.
Let Lucas's present age = x, Aparna'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

11 years ago, the ratio of Gautam's age to Yash's age was 3:7. 22 years from now, the ratio will be 4:9. Find Gautam's present age.
Let Gautam's present age = x, Yash'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 5

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

5 years ago, the ratio of Amira's age to Christian's age was 1:3. 10 years from now, the ratio will be 2:5. Find Amira's present age.
Let Amira's present age = x, Christian'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 7

10 years ago, the ratio of Zoe's age to Dev's age was 3:5. 20 years from now, the ratio will be 2:3. Find Zoe's present age.
Let Zoe's present age = x, Dev'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 8

4 years ago, the ratio of Hans's age to Isaac's age was 1:2. 8 years from now, the ratio will be 3:5. Find Hans's present age.
Let Hans's present age = x, Isaac'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 9

9 years ago, the ratio of Xena's age to Dev's age was 3:7. 18 years from now, the ratio will be 4:9. Find Xena's present age.
Let Xena's present age = x, Dev'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 10

10 years ago, the ratio of Kapil's age to Lucy's age was 2:7. 20 years from now, the ratio will be 3:10. Find Kapil's present age.
Let Kapil's present age = x, Lucy's present age = y
10 years ago: (x-10)/(y-10) = 2/7
20 years from now: (x+20)/(y+20) = 3/10
Solving these equations gives x = 30, y = 105

Question 11

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

11 years ago, the ratio of Rajesh's age to Joshua's age was 3:7. 22 years from now, the ratio will be 4:9. Find Rajesh's present age.
Let Rajesh's present age = x, Joshua'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 13

6 years ago, the ratio of Maya's age to Shree's age was 1:4. 12 years from now, the ratio will be 2:7. Find Maya's present age.
Let Maya's present age = x, Shree'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 14

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

9 years ago, the ratio of Allison's age to Phalguni's age was 3:8. 18 years from now, the ratio will be 4:11. Find Allison's present age.
Let Allison's present age = x, Phalguni'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 16

4 years ago, the ratio of Gael's age to Hailey's age was 1:2. 8 years from now, the ratio will be 3:5. Find Gael's present age.
Let Gael's present age = x, Hailey'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 17

9 years ago, the ratio of Natalie's age to Liam's age was 3:4. 18 years from now, the ratio will be 4:5. Find Natalie's present age.
Let Natalie's present age = x, Liam'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 18

10 years ago, the ratio of Ethan's age to Chaitra's age was 3:5. 20 years from now, the ratio will be 2:3. Find Ethan's present age.
Let Ethan's present age = x, Chaitra'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 19

10 years ago, the ratio of Piya's age to Yashaswi's age was 2:7. 20 years from now, the ratio will be 3:10. Find Piya's present age.
Let Piya's present age = x, Yashaswi's present age = y
10 years ago: (x-10)/(y-10) = 2/7
20 years from now: (x+20)/(y+20) = 3/10
Solving these equations gives x = 30, y = 105

Question 20

10 years ago, the ratio of Rajesh's age to Sanjit's age was 1:3. 20 years from now, the ratio will be 2:5. Find Rajesh's present age.
Let Rajesh's present age = x, Sanjit'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
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