Question

ratio of two numbers is 4:5 and hcf is 120. the numbers are​

Answer 1

Let the numbers be 4x and 5x

Obviously GCD is going to be x itself

LCM = 120

Product of LCM and GCD will be equal to product of two numbers

So 120x = (4x)(5x)

120x = 20x square

x = 120/20

x = 6

So the Numbers are

4x = 4×6 = 24

5x = 5×6 = 30

Thus the numbers are 24 and 30.