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Common Factor

nbsp;The HCF ...

Question

The HCF and the LCM of two numbers are 825 and 25 respectively. If one of the two numbers is 275, find the other number.

A

25

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B

35

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C

75

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D

65

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Solution

The correct option is C 75
$H . C . F . \times L . C . M .$ = $F i r s t n u m b e r \times S e c o n d n u m b e r$

$825 \times 25$ = $275 \times S e c o n d n u m b e r$

$\frac{825 \times 25}{275}$ = Second number

$∴$ The second number = 75

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