Question

if the LCM of two numbers is 144 and their HCF is 24 such that one of the numbers is 48 then the other number is​

Answer 1

Answer:

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Answer 2

Answer:

The second number is 72

Step-by-step explanation:

Given,

The LCM and HCF of two numbers = 144 and 24

One of the two numbers = 48

To find,

The second number

Recall the formula

LCM × HCF = Product of two numbers

Solution:

We have, LCM = 144 and HCF = 24

Given, one number is 48

Let the second number be 'x'

LCM × HCF = 144 × 24 = 3456

Product of numbers = 48x

Since LCM × HCF = Product of two numbers

48x = 3456

x = $\frac{3456}{48}$ = 72

∴The second number is 72

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