9514 1404 393
Answer:
6 : 4
Step-by-step explanation:
The product of the ratio values is 3×2 = 6. This means the two numbers will have a GCF of 12/6 = 2. So, the two numbers are ...
3×2 : 2×2 = 6 : 4
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I think of GCF and LCM problems in terms of a "diagram" that looks like this:
(a [ b ) c ]
That is, the two numbers can be written in a form such that one is (a·b), the other is [b·c], their greatest common factor is b, and their least common multiple is a·b·c.
The ratio of the two numbers would be a : c. The product ac differs from the LCM by a factor of b, the GCF. Of course, b = abc/(ac), which is how we got the above answer.
