Question

L.C.M. of two numbers is 144 and their H.C.F. is 36
If one number is 48, the other number will be-
Please give correct answer​

Answer 1

Given :

• LCMof two numbers = 144
• HCF of the two numbers = 36
• One of the number = 48

To Find :

• The other number

Solution :

Let the other number be "x".

Now , Applying the relation ;

$\\ \star \: {\boxed{\purple{\sf{HCF \times LCM = Product \: of \: two \: numbers}}}}$

Substituting the values we have ,

$\\ : \implies \sf \: 36 \times 144 = 48 \times x$

$\\ : \implies \sf \: 5184 = 48 \times x$

$\\ : \implies \sf \: x = \frac{5184}{48}$

$\\ : \implies{\underline{\boxed{\pink {\mathfrak{x = 108}}}}} \: \bigstar$

Hence , The other number is 108.

Answer 2

Answer:

$\huge \frak{Given}$

• LCM of two numbers = 144
• HCF of two numbers = 36
• One number = 48

$\huge \frak{To \: Find}$

Other number

$\huge \frak{SoluTion}$

Apply the theory

$\bf \red{LCM \times HCF = Product \: of \:2 \: numbers}$

Let the other number be x

$\tt \: 144 \times 36 = 48 \times x$

$\tt \: 5184 = 48x$

$\tt \: x = \dfrac{5184}{48}$

$\frak \red{x \: = 108}$

Other number is 108.

Let's verify

$\tt \: 144 \times 36 =48 \times 108$

$\tt \: 5184 = 5184$

Hence, Verified