Question
Download Solution PDFThe product of two numbers is 1521 and the HCF of these numbers is 13. Find the number of such pairs?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGIVEN:
The product of two numbers is 1521 and the HCF of these numbers is 13.
CONCEPT:
HCF: The highest common factor (HCF) is found by finding all common factors of two numbers and selecting the largest one.
CALCULATION:
Suppose the numbers are 13a and 13b as the HCF of these numbers is 13.
We can write:
13a × 13b = 1521
⇒ ab = 9
∴ Only possible pair is 13, 117
Mistake PointsAccording to question,
ab = 9
For a = 1 and b = 9
The numbers will be 13 and 117 and their HCF will be 13
Here we will not consider a = 3 and b = 3.
The numbers will be 39 and 39.
Here HCF would be 39 which does not satisfy the given condition.
Last updated on Jul 10, 2025
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