Question

the LCM of two number is 600 and t h e i r HCF is 15 if one of the numbers is 75 find the order number ​

Answer 1

Answer:

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Step-by-step explanation:

$lcm = 600 \\ hcf = 15 \\ let \: the \: numbers \: be \: x \: and \: y \: therefore \: x \: be \: 75 \\ \: lcm \times hcf = xy \\ 600 \times 15 = 75 \times y \\ y = 15 \times \frac{600}{75} \\ y = 120$

Answer 2

To find : missing number .

Given :  LCM of two number is $600$ and their HCF is $15$ if one of the numbers is $75$.

Solution :  

• According to given data we are given that LCM of two numbers is $600$their HCF is $15$ .One of the numbers is $75$.
• Let , missing number be $x$
• To find $x$ we use following formula :
• Product of HCF and LCM = Product of two numbers
• Therefore, substituting the values we get,
• $15 \times 600 = 75 \times x$

        $9000 = 75 x \\x = \frac{9000}{75} \\x = 120$

• Hence, missing number is $120$ .