Question

if lcm of two numbers is 180 ,hcf is 15 and sum of them is 105 ,what is the difference between those two numbres ?

Answer 1

hope it's clear..............

Answer 2

The least of the numbers must not be less than 15

These two numbers are all multiples of 180.

We can list down multiples of 180 from 15 that are divisible by 15.

We have :

1) 15

2) 30

3) 45

4) 60

5) 90

The two possible sums are :

90 + 15 = 105

60 + 45 = 105

We have two possible pairs

90 - 15 = 75

60 - 45 = 15

The difference can either be 75 or 15