Question

Two numbers have these properties:

Answer 1

Answer:

$12\ and\ 30$

Step-by-step explanation:

Given both numbers are greater than 6

Their HCF is 6

Their LCM is 60

The product of the HCF and LCM of two numbers is the same as the product of the numbers themselves.

Let us say those number are $a$ and $b$

$a\times b=6\times 60\\a\times b=360$

So, the product of those number is $360$

Let us factorize $360$

$360=1\times 2\times 2\times 3\times 5\times 6$

It is given that number should be greater than 6

The possible pairs of number are $(10,36)\ and\ (12,30)$

But only $(12,30)$ has LCM as 60.

So those numbers are $12\ and\ 30$