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Product of Two Numbers = HCF X LCM of the Two Numbers

If H.C.F and ...

Question

If H.C.F and L.C.M of two numbers is x and y respectively, if one of the numbers is b then the other number is?

A

$\frac{b x}{y}$

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B

$\frac{b y}{x}$

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C

$\frac{x}{y b}$

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D

$\frac{x y}{b}$

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Solution

The correct option is D
$\frac{x y}{b}$

LCM $\times$ HCF of two numbers = Product of the two numbers
Let the other number be E
x $\times$ y = E $\times$ b
E = $\frac{x y}{b}$

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