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Sum & Ratio Beginner-Intermediate Worksheet: Focus on common variations practice Sum & Ratio BEGINNER INTERMEDIATE

Level up your Sum & Ratio skills! You're at Worksheet 4 of 10 (33% through this series). This step-up challenge worksheet features 20 beginner-intermediate-level problems with a focus on common variations practice. Topics covered: sum & ratio for competitive exams, how to solve sum & ratio, sum & ratio tricks.

📝 Worksheet 4 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner Intermediate level

What you'll learn in this worksheet:
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Worksheet 4 of 10 (33% complete)

Question 1

The sum of ages of Uma, Priyanka, and Connor is 64. Their ages are in the ratio 2:3:3. How old is Uma?
Sum of ratios = 2 + 3 + 3 = 8
Each unit = 64 ÷ 8 = 8
Uma's ratio = 2
Age = 2 × 8 = 16

Question 2

The sum of ages of Valentina, Chandan, and Amrita is 42. Their ages are in the ratio 3:1:3. How old is Chandan?
Sum of ratios = 3 + 1 + 3 = 7
Each unit = 42 ÷ 7 = 6
Chandan's ratio = 1
Age = 1 × 6 = 6

Question 3

The sum of ages of Manjari, Ivy, and Subhash is 36. Their ages are in the ratio 3:3:3. How old is Manjari?
Sum of ratios = 3 + 3 + 3 = 9
Each unit = 36 ÷ 9 = 4
Manjari's ratio = 3
Age = 3 × 4 = 12

Question 4

The sum of ages of Vishal, Zoe, and Anup is 40. Their ages are in the ratio 4:2:2. How old is Zoe?
Sum of ratios = 4 + 2 + 2 = 8
Each unit = 40 ÷ 8 = 5
Zoe's ratio = 2
Age = 2 × 5 = 10

Question 5

The sum of ages of Patrick, Eleanor, and Theo is 45. Their ages are in the ratio 4:1:4. How old is Theo?
Sum of ratios = 4 + 1 + 4 = 9
Each unit = 45 ÷ 9 = 5
Theo's ratio = 4
Age = 4 × 5 = 20

Question 6

The sum of ages of Jaya, Dilip, and Shruti is 77. Their ages are in the ratio 4:3:4. How old is Shruti?
Sum of ratios = 4 + 3 + 4 = 11
Each unit = 77 ÷ 11 = 7
Shruti's ratio = 4
Age = 4 × 7 = 28

Question 7

The sum of ages of Clara, Mary, and Leon is 25. Their ages are in the ratio 2:2:1. How old is Mary?
Sum of ratios = 2 + 2 + 1 = 5
Each unit = 25 ÷ 5 = 5
Mary's ratio = 2
Age = 2 × 5 = 10

Question 8

The sum of ages of Theodore, Gautam, and Chaman is 24. Their ages are in the ratio 1:1:2. How old is Chaman?
Sum of ratios = 1 + 1 + 2 = 4
Each unit = 24 ÷ 4 = 6
Chaman's ratio = 2
Age = 2 × 6 = 12

Question 9

The sum of ages of Urvashi, Marco, and Jude is 70. Their ages are in the ratio 3:4:3. How old is Marco?
Sum of ratios = 3 + 4 + 3 = 10
Each unit = 70 ÷ 10 = 7
Marco's ratio = 4
Age = 4 × 7 = 28

Question 10

The sum of ages of Ayush, Piper, and Deepa is 56. Their ages are in the ratio 2:2:4. How old is Deepa?
Sum of ratios = 2 + 2 + 4 = 8
Each unit = 56 ÷ 8 = 7
Deepa's ratio = 4
Age = 4 × 7 = 28

Question 11

The sum of ages of Yamini, Nidhi, and Ruby is 48. Their ages are in the ratio 2:2:2. How old is Nidhi?
Sum of ratios = 2 + 2 + 2 = 6
Each unit = 48 ÷ 6 = 8
Nidhi's ratio = 2
Age = 2 × 8 = 16

Question 12

The sum of ages of Ethan, Grace, and Sapna is 42. Their ages are in the ratio 1:2:3. How old is Grace?
Sum of ratios = 1 + 2 + 3 = 6
Each unit = 42 ÷ 6 = 7
Grace's ratio = 2
Age = 2 × 7 = 14

Question 13

The sum of ages of Genesis, Arianna, and Shubham is 54. Their ages are in the ratio 3:2:4. How old is Shubham?
Sum of ratios = 3 + 2 + 4 = 9
Each unit = 54 ÷ 9 = 6
Shubham's ratio = 4
Age = 4 × 6 = 24

Question 14

The sum of ages of Brielle, Alex, and Aaliyah is 66. Their ages are in the ratio 4:4:3. How old is Alex?
Sum of ratios = 4 + 4 + 3 = 11
Each unit = 66 ÷ 11 = 6
Alex's ratio = 4
Age = 4 × 6 = 24

Question 15

The sum of ages of Rakhi, Kumud, and Surbhi is 28. Their ages are in the ratio 2:1:1. How old is Rakhi?
Sum of ratios = 2 + 1 + 1 = 4
Each unit = 28 ÷ 4 = 7
Rakhi's ratio = 2
Age = 2 × 7 = 14

Question 16

The sum of ages of Kanika, Louis, and Anmol is 40. Their ages are in the ratio 1:2:2. How old is Louis?
Sum of ratios = 1 + 2 + 2 = 5
Each unit = 40 ÷ 5 = 8
Louis's ratio = 2
Age = 2 × 8 = 16

Question 17

The sum of ages of Esha, Stefan, and Ratna is 27. Their ages are in the ratio 4:3:2. How old is Stefan?
Sum of ratios = 4 + 3 + 2 = 9
Each unit = 27 ÷ 9 = 3
Stefan's ratio = 3
Age = 3 × 3 = 9

Question 18

The sum of ages of Rachit, Om, and Bhuvnesh is 48. Their ages are in the ratio 3:2:1. How old is Om?
Sum of ratios = 3 + 2 + 1 = 6
Each unit = 48 ÷ 6 = 8
Om's ratio = 2
Age = 2 × 8 = 16

Question 19

The sum of ages of Samantha, Tapsi, and Kapil is 24. Their ages are in the ratio 1:2:3. How old is Samantha?
Sum of ratios = 1 + 2 + 3 = 6
Each unit = 24 ÷ 6 = 4
Samantha's ratio = 1
Age = 1 × 4 = 4

Question 20

The sum of ages of Sourav, Penelope, and Sanjit is 35. Their ages are in the ratio 2:2:1. How old is Sourav?
Sum of ratios = 2 + 2 + 1 = 5
Each unit = 35 ÷ 5 = 7
Sourav's ratio = 2
Age = 2 × 7 = 14
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