Question

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

Answer 1

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

• The required number is 72.

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

• HCF of both the numbers is 9 & LCM of both is 360.

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

• Other number = ?

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

By using the, Formula -

$\dashrightarrow\large{\underline{\boxed{\sf{\red{HCF \times LCM = Product \: of \: both \; Numbers}}}}}$

$\sf{We\: have}\begin{cases} \sf{ HCF \:=\; 9} \\ \sf{LCM \:=\; 360} \end{cases}$

$\rule{150}2$

$\sf\underline{\red{\:\:\: As \: per \: Given \: conditionn:-\:\:\:}}$

Let us consider that another number is x.

And, One number is 45. [Given]

$\dashrightarrow\sf 9 \times 360 = 45 \times x \\ \\ \dashrightarrow\sf x = \dfrac{ 9 \times 360}{45} \\ \\ \dashrightarrow\sf x =\cancel\dfrac{3240}{45}\\ \\ \dashrightarrow\sf\large\pink{x = 72}$

Hence, another number is 72.

$\rule{150}2$

$\sf\underline{\red{\:\:\: Additional\: Information :-\:\:\:}}$

• HCF is the Highest common factor which divides the two or more number.

• LCM is the Least common factor which are divisible by the given numbers.

Answer 2

Answer :

The other no. is 72

__________________________

Given :-

• H.C.F of two no. is 9 and L.C.M is 360

• One no. is 45

To find :-

• Other no.

Solution :

let the unknown no. as y.

By formula,

Hcf × lcm = product of two no.

therefore, putting values..

9 × 360 = 45 × y

y = 9 × 360/ 45

y = 72 Answer!!!