The least common multiple of two numbers is 90 and their greatest common factors is three If one number is three more than the other what are the two numbers?

Let's call G the gcd and L the LCM of two numbers W and A ( for Wiki Answers)

We know LG=WA

and we are told L=90 and G=3So we have LG=270

Now, we are also told W=A+3 So let's substitute,

270=WA=A(A+3)so we have A^2+3A-270=0Now factor this (x-15)(x+18)=0 so x= 15 is one answer and x=15+3=18 is the other number.

Let's check and see if it works.

1. 18=15+3 so that condition is satisfied2. GCD is 3 and the LCM is 90 as desired.So we are done and the answer is:

15 and 18