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Q: There are two numbers with a GCF of 12 and a LCM of 180 Their sum is 96 What are the two numbers?

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This doesn't work. The LCM of a pair of numbers has to be equal to or larger than the largest number of the pair. If one of the numbers is 60, the other is 120. 60 and 120 have a GCF of 60, not an LCM.

40 and 50

40 and 50

40 and 50

The GCF of 6 and 10 is 2.

40 and 50

They are: GCF = 5 and LCM = 325 and the sum is 5+325 = 330

You cannot. LCM{2,6,12} = 12 and GCF{2,6,12} = 2 LCM{4,6,12} = 12 and GCF{4,6,12} = 2 The two sets have the same LCM and GCF but, clearly, their sums are different.

The GCF of 9 and 15 is 3. The LCM is 45.

How about: 12, 16 and 24

The sum is 335.

Let the two numbers be x and y. Let suppose that the average of two numbers is 20. Then,x + y = 40 and 40/GCF = 5, where GCF = 40/5 = 8Since LCM is 48 and GCF is 8, the numbers are 16 and 24, whose average is 20 is true.

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