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F.2 Maths [inequalities]

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For two consecutive multiples of 3,5 times the larger number is not less than 2 times the smaller number plus 45. Find the minimum values of these two numbers. 應該點做??

最佳解答:

let 3X be the smaller number, 3(X+1) is the larger number 5 x3 (X+1) greater or equal to 2 x 3X +45 15X +15 greater or equal to 6X + 45 9X greater or equal to 30 X greater or equal to 10/3 therefore the minimum value of these two numbers are 3x 10/3 and 3x (1+10/3) = 10 and 13

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