Question
What is the larger number? Quantity I.
Difference between the two numbers is 15 and LCM and HCF of those numbers are 90 and 15 respectively. Quantity II. The HCF and LCM of two numbers are 5 and 100 respectively. If the sum of the two numbers is 45. (Q.126-130): Study the following information carefully and answer the Questions given below:Solution
Quantity I. let the larger number be  x  Smaller number = (x-15) x(x – 15) = 90 `xx` 15 x2 - 15x  = 1350 x2 - 15x  – 1350 = 0 (x-45)(x+30) = 0  x = 45 Larger number = 45 and Smaller number = 30 Quantity II. Let the larger number be x  Smaller number = 45 – x x(45-x) = 100 x 5 x2 - 45x  + 500 = 0 (x-20)(x-25) = 0  x = 20, 25 Larger number = 25 Smaller number = 20 Hence, Quantity I > Quantity II.
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