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LoginIf the sum of LCM and HCF of two numbers is 1260 and their LCM is 900 more than their HCF, then the product of two numbers is A. 203400 B. 194400 C. 198400 D. 205400
Math Secondary School in Math . 10 months ago
+10 pts
Product of TWO numbers is 194400 .Step-by-step EXPLANATION:Let the LCM of two numbers be L and HCF of two numbers be HFirst condition states that sum of LCM and HCF of two numbers is 1260, i.e.; L + H = 1260 L = 1260 - H ---------- [Equation 1]Second condition states that LCM is 900 more than their HCF, i.e.; L = 900 + H 1260 - H = 900 + H {using equation 1} 2*H = 1260 - 900 H = 360/2 = 180 Putting value of H in equation 1, we get; L = 1260 - 180 = 1080 So, HCF of two numbers = 180 and LCM of two numbers = 1080 Now, Product of two numbers = HCF * LCM = 180 * 1080 = 194400 .
Posted on 28 Jul 2024, this text provides information on Math related to Secondary School in Math. Please note that while accuracy is prioritized, the data presented might not be entirely correct or up-to-date. This information is offered for general knowledge and informational purposes only, and should not be considered as a substitute for professional advice.
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