The product of the LCM and HCF of two positive numbers is 36. The difference of the two numbers is 5. Find the numbers.

Correct option is C

Given:

The product of the LCM and HCF of two positive numbers is 36

Difference of number = 5.
Formula Used:
We know that the product of the LCM and HCF of two numbers is equal to the product of the numbers themselves.

Solution:

Let two number = x,y
x $$\times$$​ y = 36-------eq(1)
x - y = 5---------eq(2)
y $$\times$$​ (5+y)= 36
​$$y^2 +5y -36=0$$​​

Value of y =4,-9

So, value of x = 36/4 =9

Thus, the two numbers are 9 and 4.