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Min/Max Age Constraints: Worksheet 2 - Beginner Practice Min/Max Age Constraints BEGINNER

Ready to master Min/Max Age Constraints? This entry level practice worksheet (2/10) presents 20 beginner-level challenges. Focus area: pattern recognition. Learn to solve min/max age constraints reasoning questions, handle min/max age constraints practice, and perfect min/max age constraints 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 Min/Max Age Constraints
Worksheet 2 of 10 (11% complete)

Question 1

A and B's ages sum to 59. A is between 2 and 5 times as old as B. What is the minimum possible age of A?
A + B = 59, A/B between 2 and 5. For min A, take A/B = 2 → B = 19.7, A = 39.3 → min A = 40

Question 2

A is older than B. C is younger than B. A + B + C = 59. A is at least 5 years older than B. Maximum possible age of C?
For max C, minimize A and B. A ≥ B+5, B > C. With sum 59, max C = 15

Question 3

A is older than B. C is younger than B. A + B + C = 65. A is at least 5 years older than B. Maximum possible age of C?
For max C, minimize A and B. A ≥ B+5, B > C. With sum 65, max C = 19

Question 4

Sum of A and B's ages is 68. After 10 years, A will be 3 times as old as B. What is the maximum possible age of A now?
A + B = 68, (A+10) = 3*(B+10) → A = 56.0 → max A = 56

Question 5

Sum of A and B's ages is 61. After 7 years, A will be 2 times as old as B. What is the maximum possible age of A now?
A + B = 61, (A+7) = 2*(B+7) → A = 43.0 → max A = 43

Question 6

A and B's ages sum to 49. A is between 3 and 2 times as old as B. What is the minimum possible age of A?
A + B = 49, A/B between 3 and 2. For min A, take A/B = 3 → B = 12.2, A = 36.8 → min A = 37

Question 7

A and B's ages sum to 49. A is between 2 and 4 times as old as B. What is the minimum possible age of A?
A + B = 49, A/B between 2 and 4. For min A, take A/B = 2 → B = 16.3, A = 32.7 → min A = 33

Question 8

A and B's ages sum to 49. A is between 4 and 5 times as old as B. What is the minimum possible age of A?
A + B = 49, A/B between 4 and 5. For min A, take A/B = 4 → B = 9.8, A = 39.2 → min A = 40

Question 9

A and B's ages sum to 50. A is between 2 and 3 times as old as B. What is the minimum possible age of A?
A + B = 50, A/B between 2 and 3. For min A, take A/B = 2 → B = 16.7, A = 33.3 → min A = 34

Question 10

A and B's ages sum to 42. A is between 4 and 3 times as old as B. What is the minimum possible age of A?
A + B = 42, A/B between 4 and 3. For min A, take A/B = 4 → B = 8.4, A = 33.6 → min A = 34

Question 11

A is older than B. C is younger than B. A + B + C = 81. A is at least 5 years older than B. Maximum possible age of C?
For max C, minimize A and B. A ≥ B+5, B > C. With sum 81, max C = 24

Question 12

A is older than B. C is younger than B. A + B + C = 62. A is at least 5 years older than B. Maximum possible age of C?
For max C, minimize A and B. A ≥ B+5, B > C. With sum 62, max C = 16

Question 13

A is older than B. C is younger than B. A + B + C = 73. A is at least 5 years older than B. Maximum possible age of C?
For max C, minimize A and B. A ≥ B+5, B > C. With sum 73, max C = 20

Question 14

Sum of A and B's ages is 52. After 7 years, A will be 3 times as old as B. What is the maximum possible age of A now?
A + B = 52, (A+7) = 3*(B+7) → A = 42.5 → max A = 42

Question 15

A and B's ages sum to 54. A is between 4 and 3 times as old as B. What is the minimum possible age of A?
A + B = 54, A/B between 4 and 3. For min A, take A/B = 4 → B = 10.8, A = 43.2 → min A = 44

Question 16

A is older than B. C is younger than B. A + B + C = 61. A is at least 5 years older than B. Maximum possible age of C?
For max C, minimize A and B. A ≥ B+5, B > C. With sum 61, max C = 17

Question 17

A is older than B. C is younger than B. A + B + C = 65. A is at least 5 years older than B. Maximum possible age of C?
For max C, minimize A and B. A ≥ B+5, B > C. With sum 65, max C = 19

Question 18

A is older than B. C is younger than B. A + B + C = 62. A is at least 5 years older than B. Maximum possible age of C?
For max C, minimize A and B. A ≥ B+5, B > C. With sum 62, max C = 18

Question 19

A and B's ages sum to 53. A is between 2 and 4 times as old as B. What is the minimum possible age of A?
A + B = 53, A/B between 2 and 4. For min A, take A/B = 2 → B = 17.7, A = 35.3 → min A = 36

Question 20

A is older than B. C is younger than B. A + B + C = 69. A is at least 5 years older than B. Maximum possible age of C?
For max C, minimize A and B. A ≥ B+5, B > C. With sum 69, max C = 18
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