The product of two numbers is 2160 and their HCF is 12. The numbers are:Question 20Answera.36, 60b.72, 30c.96, 25d.48, 24

The product of two numbers is given as 2160 and their Highest Common Factor (HCF) is 12.

Step 1: We know that the product of two numbers is equal to the product of their HCF and LCM (Lowest Common Multiple).

So, LCM = (Product of numbers) / HCF

Step 2: Substitute the given values into the formula:

LCM = 2160 / 12 = 180

Step 3: Now we need to find the pair of numbers which have 12 as their HCF and 180 as their LCM.

Option a: HCF of 36 and 60 is 12 and LCM is 180 Option b: HCF of 72 and 30 is 6 and LCM is 360 Option c: HCF of 96 and 25 is 1 and LCM is 2400 Option d: HCF of 48 and 24 is 24 and LCM is 48

So, the correct answer is option a: 36 and 60.