Question

Find the hcf of two numbers whose sum is 220 and lcm is 99

Answer 1

11 is the right answer

Answer 2

Thanks for asking this question:

Let two numbers be x and y.

Sum of two numbers: x+y = 220

= > y = 220-x

L.C.M of x,y = 99

Relation between HCF and LCM of two numbers is:

HCF * LCM = Product of two numbers

Therefore HCF = x*y / 99

HCF = x (220-x)/99

In order to find the value of HCF we need to know value of one number at least.