Question

the hcf and lcm of two numbers are 48 and 288. one of the number is 144. what is the other number.

Answer 1

hcf of two numbers is 48
lcm of two nubers is 288
let two numbers be x,y
one of the numbers is 144
x=144

RULE: LCM * HCF = product of two numbers

therefore: 144 * y = 48 * 288
y = 48 * 288 / 144
y= 96

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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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