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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

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Q: 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?
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