Question

The HCF of two numbers is 11 and their LCM is 7700.If one of the numbers is 275,then the other is

Answer 1

Answer:

308

Step-by-step explanation:

HCF*LCM=product of two numbers

11*7700=275*another number

11*7700/275=another

308= another number

rate the answer

Answer 2

$\sf Given \begin{cases} & \sf{LCM\:of\:two\:numbers = \bf{7700}} \\ & \sf{HCF\:of\:two\:numbers = \bf{11}} \\ & \sf{One\:number\:is = \bf{275}} \end{cases}$

To find: Other number?

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☯ Let the other number be x.

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$\bf{\dag}\;{\underline{\frak{As\;we\;know\;that,}}}$

• The product of LCM and HCF of the given natural numbers is equivalent to the product of the given numbers

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$\star\;{\boxed{\sf{\pink{LCM \times HCF = Product\:of\:the\:numbers}}}}$

$:\implies\sf 7700 \times 11 = 275 \times x$

$:\implies\sf 84700 = 275 \times x$

$:\implies\sf x = \cancel{ \dfrac{84700}{275}}$

$:\implies{\underline{\boxed{\frak{\purple{x = 308}}}}}\;\bigstar$

$\therefore\:{\underline{\sf{Hence,\;the\;other\:number\;is\; {\textbf{\textsf{384}}}.}}}$

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$\qquad\qquad\boxed{\underline{\underline{\pink{\bigstar \:\bf\:More\:to\:know\:\bigstar}}}}$

• HCF (Highest common factor) = The largest or greatest factor common to any two or more given natural numbers is termed as HCF of given numbers.

• LCM (Least common multiple) = The least or smallest common multiple of any two or more given natural numbers are termed as LCM.