Lcm And Hcf

To solve this problem, let's define the variables and equations based on the given information:

Let be the HCF of the two numbers and be their LCM. From the problem, we know:

Substitute into the second equation:

Step 1: Calculate HCF (H)

Solve for :

Step 2: Calculate LCM (L)

Now find using :

Step 3: Determine the other number

Let the two numbers be and . For two numbers, the relationship between their LCM and HCF is:

Thus,

Solving for :

The other number is therefore 168.