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F.two Mathematics

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33.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. Topic: Linear Inequalities in one unknown Ans:12,15

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Q33) Let H be the 1st consecutive multiples of 3 Let H+3 be the 2nd consecutive multiple of 3 5(H+3) >= 2(H) + 45 5H + 15 >= 2H + 45 3H >= 30 H >= 10 Therefore, the 1st and 2nd consecutive multiples of 3 are 12 and 15 respectively.

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