Question

The HCF of two number is 4 and their LCM is 9696.if one number is 96 .find the other number

Answer 1

Answer:

Step-by-step explanation:

Answer 2

The other number is 404.

Given:

The H.C.F. and L.C.M. of the two numbers are 4 and 9696 respectively.

One of the numbers is 96.

To Find:

The other number.

Solution:

One of the numbers is 96.

Let us assume that the other number = a

In order to solve this problem we will use the concept

The product of two numbers = H.C.F x L.C.M

The L.C.M. = 9696

The HCF = 4

∴ Product of two numbers = 4 x 9696 = 38784

⇒ 96 x a = 38784

⇒ a = 38784/96 = 404

Hence the two numbers are 96 and 404.

∴ The other number is 404.

#SPJ3