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:

Second number = 72

Step-by-step explanation:

Given:

LCM = 144

HCF = 24.

One number = 48

Second number = ?

Let the second number be X.

Now,

LCM × HCF = Products of number.

144 × 24 = 48 × X

X = 144× 24/48

X = 72.

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Answer 2

Given :

• HCF = 144
• LCM = 24
• One of the two nos. = 48

Formula :

$\bf\purple{\fbox{Product\:of\:the\: numbers\:= HCF×LCM}}$

Assuming :

Other number = x

Solution :

Product of the numbers = HCF × LCM

=> 48 × x = 144×24

=> x = 144×24/48

=> x = 72

Answer :

• 72 is the other number.

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