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Common Factor

The HCF and t...

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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