Question

The HCF and LCM of two numbers are 9 and 360 respectively,if one number is 45 find other number

Answer 1

let the another number be x.
45x=9×360
x=9×360÷45
x=360÷5
x=72.
therefore another number is 72

Answer 2

$\sf GivEn \begin{cases} & \sf{HCF\;of\;two\; numbers = 9 } \\ & \sf{LCM\;of\;two\; numbers = 360 } \\ & \sf{One\;number = 45} \end{cases}$

We have to find, The other number.

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✇ Let the another number be x.

✇ And, the one number is = 45

We know that,

$\star\;{\boxed{\sf{\purple{HCF \times LCM = Product\;of\;both\;numbers}}}}$

Putting values,

$:\implies\sf 9 \times 360 = 45 \times x$

$:\implies\sf x = \dfrac{9 \times 360}{45}$

$:\implies\sf x = \cancel{ \dfrac{3240}{45}}$

$:\implies{\boxed{\frak{\pink{72}}}}\;\bigstar$

$\therefore$ Hence, The another number is 72.

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• HCF (Highest common factor) = Highest factor present between two numbers.

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• LCM (least common multiple) = Least number which is exactly divisible by two or more numbers.