Question

The HCF of two numbers is 145 and their LCM is 2175. If one number is 725, find the other.

Answer 1

SOLUTION :  

Given: LCM of two numbers = 2175  , HCF of two numbers = 145 and one number = 725

We know that,

LCM x HCF = first number x second number

2175 x 145  = 725 x second number

second number = ( 2175 x 145 ) / ( 725 )

second number = 3 × 145  

second number = 435  

Hence, the other number is 435.

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Answer 2

Solutions :-


Given :

HCF of two numbers = 145
LCM of two numbers = 2175

One number = 725

Let the other number be x


We know,

LCM × HCF = Product of the integers

=> 145 × 2175 = 725 × x
=> 315375 = 725x
=> 315375/725 = x = 435


Hence,
The other number = 435