Question

The sum of two number is 45. Their difference is 1/9 of their sum.Their lcm is?

Answer 1

Let the numbers be x and y

x + y =45

x-y = 5 (1/9    * 45)

=> x = 5+y

Substuting x=5+y in eq. x+y = 45

5+y+y = 45

2y + 5 = 45

2y = 40

y = 20

=> x = 25

The LCM of 25 and 20 is 100