Question

HCF and LCM of 2 numbers are 12 and 72 respectively. If 1 of the numbers is 24 find the other.

Answer 1

Answer:

The other number is 36

Answer 2

$Let \: One \: number ( a ) = 24 , \\ Second \:number = b , \\HCF (a,b) = 12 \:and \: LCM (a,b) = 72$

/* We know that , */

$\boxed{\pink{ a \times b = HCF(a,b) \times LCM(a,b) }}$

$\implies 24 \times b = 12 \times 72$

$\implies b = \frac{ 12 \times 72}{24}$

$\implies b = 12 \times 3$

$\implies b = 36$

Therefore.,

$\red{ Required \: other \: number } \green { = 36 }$

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