Answer:
12 and 30 are two such given numbers.
Step-by-step explanation:
Here, given the LCM of both the numbers = 60
The HCF of both the number = 6
Both number are greater then 6.
Now, as we know LCM x HCF = Product of Two Numbers
⇒ 60 x 6 = 360 = Product of both numbers
Now, by the prime factorization of 360, we get:
360 = 2 x 2 x 2 x 3 x 3 x 5 = 12 x 30
Here, checking for the conditions:
(a) Both numbers 12 , 30 are greater than 6
(b) HCF of 12 and 30 = 6
(c) LCM of 12 and 30 = 60
Hence, 12 and 30 are two such given numbers.
