Question

The product of the HCF and the LCM of two number is 1152 if one number is 48 find the another one

Answer 1

Answer:

hope this answer helps u

Answer 2

$\bf{\underline{\underline \blue{Solution:-}}}$

$\sf\underline{\red{\:\:\: AnswEr:-\:\:\:}}$

• The another required number = 24

$\sf\underline{\red{\:\:\: Given:-\:\:\:}}$

• The product of the HCF and the LCM of two number is 1152.
• One of the number is 48

$\sf\underline{\red{\:\:\: Need\:To\:Find:-\:\:\:}}$

• The another required number = ?

$\bf{\underline{\underline \blue{Explanation:-}}}$

Let the another number = Y

$\sf\underline{\red{\:\:\: Formula\:Used\:Here:-\:\:\:}}$

$\bigstar \: \boxed{ \sf \: L.C.M \times H.C.F = Product\:of\:two\: numbers}$

$\sf\underline{\green{\:\:\:Now, Putting\:the\: values:-\:\:\:}}$

$\dashrightarrow \sf {1152 = 48 \times y}$

$\dashrightarrow \sf {1152 = 48y}$

$\dashrightarrow \sf {y = \dfrac{\cancel{1152}}{\cancel{48}}\:}$

$\dashrightarrow \sf {y = 24}$

$\sf\underline{\green{\:\:\: ThereFore:-\:\:\:}}$

• The another required number is 24.

$\rule{200}{2}$