Question

The product of H.C.F and L.C.M of two numbers is 192.If one number is 12,then the other number is _____

A)18 b)16 c)13 d)14

Answer 1

hey mate ,
here is ur answer
product of two no. = 192
one no. = 12
other no. = 192/12
=16

Answer 2

Given:

The product of H.C.F and L.C.M of two numbers is 192. Also, one number is 12.

To find:

The other number.

Solution:

First of all, we should know that the product of two numbers 'a' and 'b' is equal to the product of their HCF and LCM.

This means,

$a \times b = HCF \times LCM$

Now,

as given, we have,

one number = 12

product of LCM and HCF of two numbers = 192.

let the other number be b.

So,

$12 \times b = 192$

on solving the above, we get

$b = \frac{192}{12}$

$b = 16$

Hence, the other number is 16.

So, the correct option is (b) 16.