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Sum & Ratio - Intermediate Level: tricky scenarios handling Sum & Ratio INTERMEDIATE

This expert challenge 📈 worksheet focuses on Sum & Ratio - a key topic in Age Based Puzzles. You'll solve 20 intermediate-level problems (Worksheet 5 of 10). The primary focus is on tricky scenarios handling. Master how to solve sum & ratio, sum & ratio tricks, and sum & ratio shortcut methods through systematic practice.

📝 Worksheet 5 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate level

What you'll learn in this worksheet:
Your progress through Sum & Ratio
Worksheet 5 of 10 (44% complete)

Question 1

The sum of ages of Vatsal, Eliana, and Kennedy is 56. Their ages are in the ratio 1:3:3. How old is Eliana?
Sum of ratios = 1 + 3 + 3 = 7
Each unit = 56 ÷ 7 = 8
Eliana's ratio = 3
Age = 3 × 8 = 24

Question 2

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

Question 3

The sum of ages of Anu, Jaya, and Ved is 24. Their ages are in the ratio 3:4:1. How old is Ved?
Sum of ratios = 3 + 4 + 1 = 8
Each unit = 24 ÷ 8 = 3
Ved's ratio = 1
Age = 1 × 3 = 3

Question 4

The sum of ages of Lalita, Delilah, and Julian is 40. Their ages are in the ratio 3:4:3. How old is Lalita?
Sum of ratios = 3 + 4 + 3 = 10
Each unit = 40 ÷ 10 = 4
Lalita's ratio = 3
Age = 3 × 4 = 12

Question 5

The sum of ages of Connor, Urvashi, and Hailey is 30. Their ages are in the ratio 1:2:2. How old is Connor?
Sum of ratios = 1 + 2 + 2 = 5
Each unit = 30 ÷ 5 = 6
Connor's ratio = 1
Age = 1 × 6 = 6

Question 6

The sum of ages of Shreya, Daniel, and Violet is 15. Their ages are in the ratio 3:1:1. How old is Daniel?
Sum of ratios = 3 + 1 + 1 = 5
Each unit = 15 ÷ 5 = 3
Daniel's ratio = 1
Age = 1 × 3 = 3

Question 7

The sum of ages of Muskan, Satish, and Pranav is 70. Their ages are in the ratio 3:3:4. How old is Satish?
Sum of ratios = 3 + 3 + 4 = 10
Each unit = 70 ÷ 10 = 7
Satish's ratio = 3
Age = 3 × 7 = 21

Question 8

The sum of ages of Mahak, Kai, and Nolan is 49. Their ages are in the ratio 1:4:2. How old is Mahak?
Sum of ratios = 1 + 4 + 2 = 7
Each unit = 49 ÷ 7 = 7
Mahak's ratio = 1
Age = 1 × 7 = 7

Question 9

The sum of ages of Pawan, Sushant, and Bhaskar is 45. Their ages are in the ratio 3:2:4. How old is Sushant?
Sum of ratios = 3 + 2 + 4 = 9
Each unit = 45 ÷ 9 = 5
Sushant's ratio = 2
Age = 2 × 5 = 10

Question 10

The sum of ages of Vandana, Anthony, and Ethan is 21. Their ages are in the ratio 2:2:3. How old is Ethan?
Sum of ratios = 2 + 2 + 3 = 7
Each unit = 21 ÷ 7 = 3
Ethan's ratio = 3
Age = 3 × 3 = 9

Question 11

The sum of ages of Olivia, Oscar, and Autumn is 15. Their ages are in the ratio 1:1:3. How old is Olivia?
Sum of ratios = 1 + 1 + 3 = 5
Each unit = 15 ÷ 5 = 3
Olivia's ratio = 1
Age = 1 × 3 = 3

Question 12

The sum of ages of Sumit, Amit, and Madison is 42. Their ages are in the ratio 2:2:3. How old is Amit?
Sum of ratios = 2 + 2 + 3 = 7
Each unit = 42 ÷ 7 = 6
Amit's ratio = 2
Age = 2 × 6 = 12

Question 13

The sum of ages of Saloni, Nandini, and Lalita is 40. Their ages are in the ratio 4:3:1. How old is Saloni?
Sum of ratios = 4 + 3 + 1 = 8
Each unit = 40 ÷ 8 = 5
Saloni's ratio = 4
Age = 4 × 5 = 20

Question 14

The sum of ages of Harrison, Delilah, and Jatin is 30. Their ages are in the ratio 1:4:1. How old is Harrison?
Sum of ratios = 1 + 4 + 1 = 6
Each unit = 30 ÷ 6 = 5
Harrison's ratio = 1
Age = 1 × 5 = 5

Question 15

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

Question 16

The sum of ages of Liam, Sharad, and Madelyn is 42. Their ages are in the ratio 1:3:3. How old is Madelyn?
Sum of ratios = 1 + 3 + 3 = 7
Each unit = 42 ÷ 7 = 6
Madelyn's ratio = 3
Age = 3 × 6 = 18

Question 17

The sum of ages of Sienna, Amit, and Ines is 48. Their ages are in the ratio 3:2:3. How old is Ines?
Sum of ratios = 3 + 2 + 3 = 8
Each unit = 48 ÷ 8 = 6
Ines's ratio = 3
Age = 3 × 6 = 18

Question 18

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

Question 19

The sum of ages of Nikolai, Bela, and Rakshit is 66. Their ages are in the ratio 4:3:4. How old is Bela?
Sum of ratios = 4 + 3 + 4 = 11
Each unit = 66 ÷ 11 = 6
Bela's ratio = 3
Age = 3 × 6 = 18

Question 20

The sum of ages of Dhruv, Bentley, and Theo is 72. Their ages are in the ratio 4:1:4. How old is Bentley?
Sum of ratios = 4 + 1 + 4 = 9
Each unit = 72 ÷ 9 = 8
Bentley's ratio = 1
Age = 1 × 8 = 8
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