Question

Hcf of hcf and lcm of two numbers are 9 and 360 respectively if one number is 45 find the other number​

Answer 1

$\bf{\underline{\underline \blue{Solution:-}}}$

$\sf\underline{\red{\:\:\: AnswEr:-\:\:\:}}$

The other required number = 72

$\sf\underline{\red{\:\:\: Given:-\:\:\:}}$

H.C.F and L.C.M of two numbers are 9 and 360 respectively.If ine number is 45.

$\sf\underline{\red{\:\:\: Need\:To\: Find:-\:\:\:}}$

The other required number = ?

$\bf{\underline{\underline \blue{Explanation:-}}}$

$\sf\underline{\red{\:\:\: Formula\:Used\: Here:-\:\:\:}}$

$\bigstar \: \boxed{ \sf \: HCF \times LCM = a \times b}$

$\sf\underline{\green{\:\:\: Now,Putting\:the\: values:-\:\:\:}}$

$\dashrightarrow \sf {12 \times 360 = 60 \times b}$

$\dashrightarrow \sf {\frac{12 \times 360}{60} = b}$

$\dashrightarrow \sf {\dfrac{12 \times \cancel{360}}{ \cancel{60}} = b}$

$\dashrightarrow \sf {b = 72}$

$\sf\underline{\red{\:\:\: ThereFore:-\:\:\:}}$

The other required number is 72.

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Some more Information:

H.C.F ➪ Highest Common Factor.

L.C.M ➪ Least Common Multiple.

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Answer 2

Answer:

Answer :-

other no. is 72 .

________________________

Given:

H .C .F of two numbers are 9 and 360

To Find:

The other number .

Solution:

by formula :-

HCF × LCM of two numbers = product of the two numbers

HCF × LCM = 9 × 360 .

Given in question, one of the numbers is 45

Let the another number be x

Therefore, substituting the terms in the above formula,  

9 × 360 = 45 × x .

$x = \frac{9 \times 360}{45}$

$x = 72 \: .$

therefore, other number is 72 .