Question
Download Solution PDFIf the sum of the LCM and the HCF of two numbers is 1050 and if their HCF is 630 less than their LCM, then the product of those two numbers is ________.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Sum of LCM and HCF of two numbers = 1050
HCF is 630 less than their LCM
Concept Used:
Product of two numbers = LCM × HCF
Calculation:
Let the LCM be x.
HCF = x – 630
According to the question,
⇒ LCM + HCF = 1050
⇒ x + x – 630 = 1050
⇒ 2x = 1050 + 630 = 1680
⇒ x = 840 = LCM
⇒ HCF = 840 – 630 = 210
⇒ Product of two numbers = 840 × 210 = 176400
Therefore, the product of the two numbers is 176400.
Hence, the correct answer is option 2).
Last updated on Jul 11, 2025
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