The sum of two numbers is 45. Their difference is ¹/₉ of their sum. Their LCM is = ?

Explanation:-

Let the two numbers be a and b
Then, a + b = 45.......(i)
And a - b = 5......(ii)
Adding (i) and (ii) we get 2a = 50 or a = 25
Putting a = 125 in (i) we get b = 20

5	20	-	25
	4	-	5

LCM = 5 × 4 × 5 = 100