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Question Number 206675 by BaliramKumar last updated on 22/Apr/24

There are three positive integers a, b, and c such that their average is 35 and a ≤ b ≤ c. If the median is (a + 18), then find the minimum possible value of c. (1) 41. (2) 42. (3) 39. (4) 40

There are three positive integers a, b, and c such that their average is 35 and a ≤ b ≤ c. If the median is (a + 18), then find the minimum possible value of c. (1) 41. (2) 42. (3) 39. (4) 40

Answered by mr W last updated on 22/Apr/24

a>0 a+b+c=3×35=105 b=a+18≤c c=105−a−a−18=87−2a≥a+18 ⇒a≤23 c=87−2a≥87−2×23=41 ✓ ⇒answer (1)

a>0a+b+c=3×35=105b=a+18⩽cc=105−a−a−18=87−2a⩾a+18⇒a⩽23c=87−2a⩾87−2×23=41✓⇒answer(1)

Commented by BaliramKumar last updated on 22/Apr/24

thanks

thanks

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