Question

- The LCM of two numbers is 600 and their HCF is 15. If one of the
numbers is 75, find the other number.​

Answer 1

Answer:

may be this can help you see the attachment

Answer 2

$\large \bold{ \underline{ \underline{ \: Answer : \: \: \: }}}$

$\to$ Other number ( b ) = 120

$\large \bold{ \underline{ \underline{ \: Given : \: \: \: }}}$

$\to$ LCM ( a , b ) = 600

$\to$ HCF ( a , b ) = 15

$\to$ One number ( a ) = 75

$\large \bold{ \underline{ \underline{ \: To \: find : \: \: \: }}}$

$\to$ Other number ( b ) = ?

$\large \bold{ \underline{ \underline{ \: Solution : \: \: \: }}}$

$\large \fbox{ \fbox{ \bold{LCM ( a \: , b ) = \frac{ \: \: a \: × \: b \: \: }{ \: \: HCF ( a \: , \: b ) \: \: } \: }}}$

$\to 600 = \frac{75 \times b}{15} \\ \\ \to 600 \times 15 = 75 \times b \\ \\ \to b = \frac{600 \times 15}{75} \\ \\ \to b = \frac{9000}{75} \\ \\ \to b = 120$