The HCF of 2 numbers is 75 and their LCM is 1500. If one of the numbers is 300, find the other.

The other number is 375.

Step-by-step explanation:

The given information are,

The HCF of two numbers is 75. The LCM of the two numbers is 1500.

The one number out of the two numbers is 300.

Let, the another number be assumed as 'x'.

The first number = 300 and the second number = x.

To find the number x:

The HCF * LCM = product of two Numbers is a logic to used to find the unknown number.

We know the values of HCF = 75, LCM = 1500 and one number = 300 and the second number is x.

Therefore, substituting those values in the above formula, we get

⇒ 75 * 1500 = 300 * x

⇒ 1125 / 3 = x

⇒ 375 = x

Therefore, the second number is 375.