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Master Min/Max Age Constraints - Intermediate-Advanced Level Problems Min/Max Age Constraints INTERMEDIATE ADVANCED

Excel in competitive exams with this self assessment worksheet on Min/Max Age Constraints. Worksheet 7 of 10 contains 20 intermediate-advanced-level problems. Target your accuracy improvement skills while practicing min/max age constraints shortcut methods, min/max age constraints bank exam questions, and min/max age constraints ssc cgl.

📝 Worksheet 7 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate Advanced level

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Worksheet 7 of 10 (66% complete)

Question 1

A is older than B. C is younger than B. A + B + C = 70. 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 70, max C = 19

Question 2

A and B's ages sum to 59. A is between 4 and 2 times as old as B. What is the minimum possible age of A?
A + B = 59, A/B between 4 and 2. For min A, take A/B = 4 → B = 11.8, A = 47.2 → min A = 48

Question 3

A and B's ages sum to 60. A is between 5 and 2 times as old as B. What is the minimum possible age of A?
A + B = 60, A/B between 5 and 2. For min A, take A/B = 5 → B = 10.0, A = 50.0 → min A = 50

Question 4

A is older than B. C is younger than B. A + B + C = 77. 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 77, max C = 22

Question 5

A and B's ages sum to 45. A is between 4 and 3 times as old as B. What is the minimum possible age of A?
A + B = 45, A/B between 4 and 3. For min A, take A/B = 4 → B = 9.0, A = 36.0 → min A = 36

Question 6

A is older than B. C is younger than B. A + B + C = 82. 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 82, max C = 23

Question 7

A and B's ages sum to 55. A is between 2 and 3 times as old as B. What is the minimum possible age of A?
A + B = 55, A/B between 2 and 3. For min A, take A/B = 2 → B = 18.3, A = 36.7 → min A = 37

Question 8

A is older than B. C is younger than B. A + B + C = 74. 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 74, max C = 19

Question 9

Sum of A and B's ages is 52. After 6 years, A will be 2 times as old as B. What is the maximum possible age of A now?
A + B = 52, (A+6) = 2*(B+6) → A = 36.7 → max A = 36

Question 10

Sum of A and B's ages is 64. After 10 years, A will be 2 times as old as B. What is the maximum possible age of A now?
A + B = 64, (A+10) = 2*(B+10) → A = 46.0 → max A = 46

Question 11

A is older than B. C is younger than B. A + B + C = 79. 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 79, max C = 16

Question 12

A and B's ages sum to 57. A is between 5 and 3 times as old as B. What is the minimum possible age of A?
A + B = 57, A/B between 5 and 3. For min A, take A/B = 5 → B = 9.5, A = 47.5 → min A = 48

Question 13

Sum of A and B's ages is 62. After 9 years, A will be 2 times as old as B. What is the maximum possible age of A now?
A + B = 62, (A+9) = 2*(B+9) → A = 44.3 → max A = 44

Question 14

Sum of A and B's ages is 57. After 9 years, A will be 3 times as old as B. What is the maximum possible age of A now?
A + B = 57, (A+9) = 3*(B+9) → A = 47.2 → max A = 47

Question 15

A and B's ages sum to 59. A is between 3 and 2 times as old as B. What is the minimum possible age of A?
A + B = 59, A/B between 3 and 2. For min A, take A/B = 3 → B = 14.8, A = 44.2 → min A = 45

Question 16

A is older than B. C is younger than B. A + B + C = 67. 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 67, max C = 18

Question 17

A and B's ages sum to 48. A is between 3 and 5 times as old as B. What is the minimum possible age of A?
A + B = 48, A/B between 3 and 5. For min A, take A/B = 3 → B = 12.0, A = 36.0 → min A = 36

Question 18

A is older than B. C is younger than B. A + B + C = 77. 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 77, max C = 22

Question 19

Sum of A and B's ages is 50. After 6 years, A will be 3 times as old as B. What is the maximum possible age of A now?
A + B = 50, (A+6) = 3*(B+6) → A = 40.5 → max A = 40

Question 20

A and B's ages sum to 48. A is between 3 and 2 times as old as B. What is the minimum possible age of A?
A + B = 48, A/B between 3 and 2. For min A, take A/B = 3 → B = 12.0, A = 36.0 → min A = 36
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