Question

the h c f and l c m of two numbers are 25 and 5525 respectively . if one of the numbers is 325 find the other number​

Answer 1

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☞ Other Number is 425

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$\huge\sf\blue{Given}$

✭ HCF and LCM of 2 Numbers is 25 and 5525

✭ One Number is 325

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$\huge\sf\gray{To \:Find}$

◈ The other Number?

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Let the other Number be x

Here we know that,

$\bullet\:\underline{\sf{Product \ Of \ 2 \ Numbers = LCM \times HCF}}$

Substituting the given values,

➝ $\sf 325 \times x =25 \times 5525$

➝ $\sf 325x = 138125$

➝ $\sf x = \dfrac{138125}{325}$

➝ $\sf\orange{x = 425}$

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Answer 2

In the above Question , the following information is given -


The h c f and l c m of two numbers are 25 and 5525 respectively .


0ne of the numbers is 325 .


To find -


Find the other number .


Solution -


We know that -


For any two numbers a and b,


H. C. F of ( a, b ) × L. C. M of ( a , b ) = a × b .


Here , we are given the following values -


H. C. F of ( a, b ) = 25


L. C. M of ( a , b ) = 5525


a = 325


=> 25 × 5525 = 325 b .


=> b = { 25 × 5525 } / 325


=> b = 138125 / 325


=> b = 425 .


Thus , the other number is 425.


This is the required answer.


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