If the HCF of two numbers is 55 and the LCM is 110, then what are the two numbers?

Given: 

If the HCF of two numbers is 55 and the LCM is 110.

HCF $$\times$$ LCM = Product of the two numbers

55 $$\times$$ 110 = 6050

Let’s check each option to see which pair gives a product of 6050 and has the correct HCF and LCM.

Now, we check each options.

Option (a): 11, 110

11 $$\times$$ 110 $$\neq$$ 6050​

Option (b): 10, 55

10 $$\times$$​ 55 $$\neq$$​ 6050

Option (c): 55, 110

55 $$\times$$​ 110 = 6050

Option (d): 11, 55

11 $$\times$$​ 55 $$\neq$$​ 6050

Thus, correct option is (c).