Question

the product of hcf and lcm of two numbers is 119.find the two numbers if any of the number is not one.

Answer 1

"The two numbers are 17 and 7.

Given:

The products of HCF and LCM of two numbers are 119.

To find:

Two numbers

Solution:

The Formula for finding the two numbers can be,

Product of two numbers$= H.C.F\quad \times \quad L.C.M\quad =\quad 119$

There are only two possibilities of multiplication of the two numbers

So, 119 can be written as $119\quad \times \quad 1\quad =\quad 119\quad and\quad 17\quad \times \quad 7\quad =\quad 119$

Since, the case is, any one of the two numbers cannot be 1, so two numbers are 17 and 7."