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# The HCF of two positive integers is 5 and their LCM is 105. The numbers are

 A) 5, 105 B) 15, 35 C) 5, 105 or 15, 35 D) None of these

 C) 5, 105 or 15, 35

Let the positive numbers be 5x and 5y.

$$\Large 5x \times 5y = 5 \times 105$$

$$\Large xy = 21$$

x = 3, y = 7

Numbers are $$\Large 3 \times 5 \ and \ 7 \times 5\ is\ 15\ and\ 35$$

HCF of 5 and 105 is 5

LCM of 5 and 105 is 105

The numbers are 15, 35 or 5, 105

Part of solved LCM and HCF questions and answers : >> Elementary Mathematics >> LCM and HCF

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