Question 1
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
Min/Max Age Constraints: Worksheet 10 - Expert Practice Min/Max Age Constraints EXPERT
Ready to master Min/Max Age Constraints? This accuracy focus 👑 worksheet (10/10) presents 20 expert-level challenges. Focus area: application-based learning. Learn to solve min/max age constraints reasoning tricks, handle fast min/max age constraints solving, and perfect min/max age constraints mastery with our step-by-step solutions.
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Question 2
A is older than B. C is younger than B. A + B + C = 66. 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 66, max C = 19
Question 3
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 = 20
Question 4
A and B's ages sum to 44. A is between 2 and 5 times as old as B. What is the minimum possible age of A?
A + B = 44, A/B between 2 and 5. For min A, take A/B = 2 → B = 14.7, A = 29.3 → min A = 30
Question 5
A and B's ages sum to 49. A is between 5 and 4 times as old as B. What is the minimum possible age of A?
A + B = 49, A/B between 5 and 4. For min A, take A/B = 5 → B = 8.2, A = 40.8 → min A = 41
Question 6
A is older than B. C is younger than B. A + B + C = 75. 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 75, max C = 22
Question 7
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 = 20
Question 8
Sum of A and B's ages is 59. After 10 years, A will be 2 times as old as B. What is the maximum possible age of A now?
A + B = 59, (A+10) = 2*(B+10) → A = 42.7 → max A = 42
Question 9
Sum of A and B's ages is 54. After 6 years, A will be 2 times as old as B. What is the maximum possible age of A now?
A + B = 54, (A+6) = 2*(B+6) → A = 38.0 → max A = 38
Question 10
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 = 14
Question 11
A and B's ages sum to 45. A is between 2 and 4 times as old as B. What is the minimum possible age of A?
A + B = 45, A/B between 2 and 4. For min A, take A/B = 2 → B = 15.0, A = 30.0 → min A = 30
Question 12
A and B's ages sum to 40. A is between 4 and 2 times as old as B. What is the minimum possible age of A?
A + B = 40, A/B between 4 and 2. For min A, take A/B = 4 → B = 8.0, A = 32.0 → min A = 32
Question 13
A is older than B. C is younger than B. A + B + C = 78. 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 78, max C = 17
Question 14
A is older than B. C is younger than B. A + B + C = 75. 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 75, max C = 20
Question 15
Sum of A and B's ages is 57. After 7 years, A will be 3 times as old as B. What is the maximum possible age of A now?
A + B = 57, (A+7) = 3*(B+7) → A = 46.2 → max A = 46
Question 16
A and B's ages sum to 57. A is between 3 and 5 times as old as B. What is the minimum possible age of A?
A + B = 57, A/B between 3 and 5. For min A, take A/B = 3 → B = 14.2, A = 42.8 → min A = 43
Question 17
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 18
A is older than B. C is younger than B. A + B + C = 60. 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 60, max C = 15
Question 19
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 = 21
Question 20
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 = 21
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