Question

Two numbers have these properties. * Both numbers are greater than 6 * Their highest common factor (HCF) is 6 * Their lowest common multiple (LCM) IS 60 Find the two numbers

Answer 1

The two numbers are 12 and 30

Explanation:

It is given that both the numbers are greater than 6

Let the two numbers be X and Y

As we know

X * Y = LCM * HCF

XY = 360

Let us list down some combinations of X and Y and test above conditions

There can be following pairs

a) 6,60

b) 18,20

c) 24,15

d) 12,30

LCM of the two numbers is 60 and both the numbers are greater than 6

So only 12, 30 satisfy the set condition.