Question

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

Answer 1

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

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

$\implies 217x=31 \times 2387$

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

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

$\implies x = 341$

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

                                                                         

Answer 2

Answer:

❥︎ Given :

HCF of the number☞︎︎︎ 31

LCM of the number ☞︎︎︎ 2387

One of the given number☞︎︎︎ 217

❥︎ To Find :

Another number

Let another number be x

❥︎ Solution :

$\boxed{\orange{HCF \times LCM = Product\;of\;both\;numbers}}$

$</strong><strong>\</strong><strong>i</strong><strong>m</strong><strong>p</strong><strong>l</strong><strong>i</strong><strong>e</strong><strong>s</strong><strong> </strong><strong>31 \times 2387 = 217 \times x$

$</strong><strong>\</strong><strong>i</strong><strong>m</strong><strong>p</strong><strong>l</strong><strong>i</strong><strong>e</strong><strong>s</strong><strong> </strong><strong>73997 = 217 \times x$

$</strong><strong>\</strong><strong>i</strong><strong>m</strong><strong>p</strong><strong>l</strong><strong>i</strong><strong>e</strong><strong>s</strong><strong> </strong><strong>x = \frac{73997}{217}$

➪ x = 341