Question

The lcm of two numbers is 72 and their hcf is 12 if one of the numbers is 24 what is the other one

Answer 1

Hey !!



LCM = 72



HCF = 12




One number = 24


Other number = ?





one number × Other number = HCF * LCM



24 × other number = 12 × 72



other number = 36.

Answer 2

Given,

The lcm of two numbers is 72 and their hcf is 12.

To Find,

If one of the numbers is 24 what is the other one?

Solution,

We can solve the question as follows:

It is given that the LCM of two numbers is 72 and their HCF is 12. If one of the numbers is 24, we have to find the other number.

We know that the product of two numbers is equal to the product of the HCF and LCM of the two numbers.

Let a and b be two numbers. Then,

$a*b = HCF(a,b)*LCM(a,b)$

To find the other number, we substitute the given values in the above formula,

$24*b = 12*72$

$b = \frac{864}{24}$

$b = 36$

Hence, the other number is equal to 36.