Question

The H.C.F and L.C.M of 2 numbers are 25 and 5525 respectively . If one of the
number is 325 , find the other number

Answer 1

Answer:

$\large{\underline{\boxed{\sf Other \: number = 425}}}$

Step-by-step explanation:

Given that ;

HCF of two numbers = 25

LCM of two numbers = 5525

One number = 325

We know that ;

The product of HCF and LCM is equal to the product of the two numbers.

Formula -

$\boxed{ \bf HCF * LCM = Product \: of \: numbers}$

Let the other number be x.

⇒ 25 * 5525 = x * 325

⇒ 138125 = 325x

⇒ x = $\sf \dfrac{138125}{325}$

⇒ x = 425

_______________________

Hence, the required number is 425.

Answer 2

$\Huge{\boxed{Solution:-}}$

==================

Given :

1. H.C.F and L.C.M of two

  number are 25 and 5525.

2. One of the given number

   is = 325

==================

To find :

We have to find other

number.

==================

  As we know that  

  H.C.F × L.C.M =

  Product of the two

  number.

==================

Let us take the other

number as 'x'.

==================

So we have to solve this

equation

⇒ 25 × 5525  =  x × 325

==================

Let us solve ,

⇒ 25 × 5525 = x × 325

⇒ 138125 = x × 325

⇒ x = $\dfrac{138125}{325}$

⇒ x = 425

==================

$\Huge{\boxed{x=425}}$

==================

Therefore the other number

be 425

==================