Question
Download Solution PDFThe product of the LCM and HCF of two numbers is 48 . If the two numbers differ by 13, then find the numbers.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
HCF × LCM = 48
the two numbers differ by 13
Concept used:
HCF × LCM = Product of numbers
Calculation:
Let the two numbers be ‘x’ & ‘y’
⇒ x × y = 48
⇒ x – y = 13
⇒ Factors of xy = 48 are (1, 48), (2, 24), (3, 16), (4, 12), (6, 8)
⇒ The only pair which satisfies both the conditions is (3, 16)
Hence, '3 and 16' is the correct answer.
Last updated on Jul 18, 2025
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