Question

1. The HCF and LCM of two numbers are 48 and 288 respectively. One of
the numbers is 144. Find the other number.​

Answer 1

Step-by-step explanation:

HCF×LCM = Product of the two numbers

HCF×LCM= a×b

48×288= 144×b

13824= 144b

144b= 13824

b= 13824/144

b = 96

Hence, the other number is 96

Hope it helps you

Answer 2

Given :

• HCF = 48
• LCM = 288
• One of the two nos. = 144

Formula :

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

Assuming :

Other number = x

Solution :

Product of the numbers = HCF × LCM

=> 144 × x = 48×288

=> x = 48×288/144

=> x = 96

Answer :

• 96 is the other number.

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