Question

I have a similar problem The LCM of two numbers is 36. The GCF is 6. One number is 6 more than the other. The numbers are ------- and ------. If someone could show me how to do this one, I could figure out the other 5 I have to do (maybe) Thank you very much.

Answer 1

LCM(a,b) = a*b/GCF(a,b)
so,

36 = a(a+6)/6
a^2 + 6a - 216 = 0
(a+18)(a-12) = 0
a = 12

So, the two numbers are 12 and 18

Answer 2

Put 42/48 in simplest form.