Question

The HCF and LCM of two number are 25 and 1125 respectively if one of the numbers is 125 determine the other. ​

Answer 1

• As per the data given in the question, we have to find the required number.

       Given data- $Hcf$=$25.$

                          $Lcm=1125.$

             The First number is $125.$

      To find:- the second number.

      Solution:-

      Here, we are using the relation of Hcf and Lcm of two numbers.

      Therefore,

      $\Rightarrow Product of two numbers=Product of hcf and lcm.\\\Rightarrow 125\times second numbers=25\times1125.\\\Rightarrow 125\timesx=25\times1125\\\Rightarrow x=\frac{25\times1125}{125}\\\Rightarrow x=225.$

      Hence, the second number will be $225.$

                           

Answer 2

Given that:- HCF $=25$

LCM $=1125$

First number $=125$

To find:- The Second number,

Let, the second number be x,

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

$=>25\times 1125=125 \times x$

$=>28125=125x$

$=>x=\frac{28125}{125}$

$=>x=225$

Hence,                                                                                                                                                     another number will be $225.$