ReasoningAbility.com

Ratio Change Two Points - Absolute-Beginner Level: core concept mastery Ratio Change Two Points ABSOLUTE BEGINNER

This skill primer 🌟 worksheet focuses on Ratio Change Two Points - a key topic in Age Based Puzzles. You'll solve 20 absolute-beginner-level problems (Worksheet 1 of 10). The primary focus is on core concept mastery. Master ratio change two points problems, ratio change two points reasoning questions, and ratio change two points practice through systematic practice.

📝 Worksheet 1 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Absolute Beginner level

What you'll learn in this worksheet:
Your progress through Ratio Change Two Points
Worksheet 1 of 10 (0% complete)

Question 1

3 years ago, the ratio of Mukesh's age to Mansi's age was 1:2. 6 years from now, the ratio will be 3:5. Find Mukesh's present age.
Let Mukesh's present age = x, Mansi'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 2

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

12 years ago, the ratio of Radha's age to Addison's age was 4:5. 24 years from now, the ratio will be 5:6. Find Radha's present age.
Let Radha's present age = x, Addison's present age = y
12 years ago: (x-12)/(y-12) = 4/5
24 years from now: (x+24)/(y+24) = 5/6
Solving these equations gives x = 48, y = 60

Question 4

8 years ago, the ratio of Ishan's age to Harish's age was 3:5. 16 years from now, the ratio will be 2:3. Find Ishan's present age.
Let Ishan's present age = x, Harish's present age = y
8 years ago: (x-8)/(y-8) = 3/5
16 years from now: (x+16)/(y+16) = 2/3
Solving these equations gives x = 24, y = 40

Question 5

6 years ago, the ratio of Renu's age to Bhuvnesh's age was 3:4. 12 years from now, the ratio will be 4:5. Find Renu's present age.
Let Renu's present age = x, Bhuvnesh'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 6

3 years ago, the ratio of Lakshmi's age to Prem's age was 1:2. 6 years from now, the ratio will be 3:5. Find Lakshmi's present age.
Let Lakshmi's present age = x, Prem'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 7

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

6 years ago, the ratio of Ved's age to Elias's age was 1:3. 12 years from now, the ratio will be 2:5. Find Ved's present age.
Let Ved's present age = x, Elias'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 9

5 years ago, the ratio of Bhavna's age to Peter's age was 4:5. 10 years from now, the ratio will be 5:6. Find Bhavna's present age.
Let Bhavna's present age = x, Peter's present age = y
5 years ago: (x-5)/(y-5) = 4/5
10 years from now: (x+10)/(y+10) = 5/6
Solving these equations gives x = 20, y = 25

Question 10

8 years ago, the ratio of Sebastian's age to Robert's age was 1:2. 16 years from now, the ratio will be 3:5. Find Sebastian's present age.
Let Sebastian's present age = x, Robert'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 11

8 years ago, the ratio of Quinn's age to Ravi's age was 2:7. 16 years from now, the ratio will be 3:10. Find Quinn's present age.
Let Quinn's present age = x, Ravi'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 12

12 years ago, the ratio of Adrian's age to Riley's age was 3:4. 24 years from now, the ratio will be 4:5. Find Adrian's present age.
Let Adrian's present age = x, Riley's present age = y
12 years ago: (x-12)/(y-12) = 3/4
24 years from now: (x+24)/(y+24) = 4/5
Solving these equations gives x = 36, y = 48

Question 13

12 years ago, the ratio of Niyati's age to Nikita's age was 3:4. 24 years from now, the ratio will be 4:5. Find Niyati's present age.
Let Niyati's present age = x, Nikita's present age = y
12 years ago: (x-12)/(y-12) = 3/4
24 years from now: (x+24)/(y+24) = 4/5
Solving these equations gives x = 36, y = 48

Question 14

5 years ago, the ratio of Brielle's age to Beau's age was 1:4. 10 years from now, the ratio will be 2:7. Find Brielle's present age.
Let Brielle's present age = x, Beau'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 15

6 years ago, the ratio of Nolan's age to Harish's age was 1:4. 12 years from now, the ratio will be 2:7. Find Nolan's present age.
Let Nolan's present age = x, Harish'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 16

6 years ago, the ratio of Penelope's age to Tyler's age was 3:5. 12 years from now, the ratio will be 2:3. Find Penelope's present age.
Let Penelope's present age = x, Tyler'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 17

9 years ago, the ratio of Silas's age to Madelyn's age was 1:6. 18 years from now, the ratio will be 2:11. Find Silas's present age.
Let Silas's present age = x, Madelyn's present age = y
9 years ago: (x-9)/(y-9) = 1/6
18 years from now: (x+18)/(y+18) = 2/11
Solving these equations gives x = 18, y = 108

Question 18

10 years ago, the ratio of Ujjwal's age to Sneha's age was 2:5. 20 years from now, the ratio will be 3:7. Find Ujjwal's present age.
Let Ujjwal's present age = x, Sneha'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 19

9 years ago, the ratio of Emmett's age to Dinesh's age was 3:7. 18 years from now, the ratio will be 4:9. Find Emmett's present age.
Let Emmett's present age = x, Dinesh'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 Damian's age to Sushma's age was 2:3. 8 years from now, the ratio will be 3:4. Find Damian's present age.
Let Damian's present age = x, Sushma'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
Next Worksheet