Question

the HCF of two numbers is 6. the LCM is 72. one of the numbers is 24. Find a possible value of the other number.

Answer 1

Answer:

Step-by-step explanation:

HCF ×LCM=PRODUCT OF THE TWO NUMBERS

6×72=24×X

X= 18

The Other Number is 18

Answer 2

Concept

Given two numbers X and Y, the product of these two numbers is the same as the product of their LCM and HCF. That is-

X * Y = HCF * LCM

Given

HCF of two numbers is 6, their LCM is 72 and one of the numbers is 24.

Find

we need to find the other number

Solution

We know that

HCF * LCM = Product of two numbers

Let the other number be X

Therefore,

6 * 72 = 24 * X

432 = 24 * X

432/ 24 = X

18 = X

or X = 18

Thus, the other number is 18.

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