Question

The H.C.F of the two numbers is 16 and their LCM is 48. one number is 16 then the other number is​

Answer 1

♀Question :-

• The H.C.F of the two numbers is 16 and their L.C.M is 48. One number is 16 then the other number is _____.

♀Solution :-

Given :-

• H.C.F of the two numbers = 16
• L.C.M of the two numbers = 48
• One number = 16

To Find :

• The other number .

$\boxed {\tt {Other \: number = \dfrac{H.C.F \times L.C.M}{One \: number}}}$

$\implies { \sf{Other \: number = \dfrac{H.C.F \times LCM}{One \: number}}} \\ \\\implies { \sf{Other \: number = \dfrac{16\times 48}{16}}} \\ \\ \implies { \sf{Other \: number = 48}}$

∴ The other number is 48.

$\rule {107}{1}$

Some important formule :

$\boxed {\tt {One\: number = \dfrac{H.C.F \times L.C.M}{Other \: number}}}$

$\boxed {\tt {H.C.F = \dfrac{One\:number \times Other\: number}{L.C.M}}}$

$\boxed {\tt {L.C.M = \dfrac{One\:number \times Other\: number}{H.C.F}}}$

$\rule {307}{2}$

Answer 2

Given,

• H.C.F. of the two numbers = 16
• L.C.M. of the two numbers = 48
• One number  = 16

To find,

• We have to find the other number.

Solution,

We can simply find the other number by using the following formula:

         H.C.F. * L.C.M. = one number * other number    (*)

H.C.F. of the two numbers = 16

L.C.M. of the two numbers = 48

One number  = 16

Let the other number be 'x'

Using (*) , we get

        16 * 48 = 16 * x

Shifting 16 from RHS to LHS, we get

  16 * 48/16 = x

              48 = x

The H.C.F of the two numbers is 16 and their LCM is 48. one number is 16 then the other number is​ 48.