1.

The HCF and LCM of two numbers are 31 and 2387 , respectively. If one of the numbers is 217, find the other.

Answer»

Given

\bold{HCF \ of \ two \ numbers} = 31

\bold{LCM \ of \ two \ numbers} = 2387

\bold{One \ of \ the  \ numbers } = 217

Let the other NUMBER be x.

SOMETHING YOU NEED TO KNOW

\boxed{\bold{{Product \ of \ 2 \ numbers = HCF \times LCM}}}

\implies 217x=31 \times 2387

\implies x=\dfrac{31 \times 2387}{217}

\implies x=\dfrac{73997}{217}

\implies x = 341

\boxed{\boxed{\bold{Therefore. \ the \ other \ number \ is \ 341}}}}}}}}

                                                                         



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