Moses and Leillah are still playing the game "Guess My Numbers." It is Leillah's turn.

Leillah: I am thinking of two numbers. Their greatest common factor is 3, and their least common multiple is 90.

Moses: There are exactly three possible pairs of numbers that you could be thinking of.

Is Moses right? If you agree with Moses, explain how you know that there are exactly three possible pairs of numbers. If you disagree, find all possible pairs of numbers that Leillah might be thinking of.

Moses is correct. The possible pairs of numbers that Leillah might be thinking of are (6, 15) or (15, 6). ;

Answered by sakshiprajapati688 | 2024-06-18

Moses is correct. There are exactly three possible pairs of numbers that Leillah could be thinking of. ;

Answered by ToddBoyce | 2024-06-24

Moses is correct; there are exactly three pairs of numbers Leillah could be thinking of: (3, 90), (6, 45), and (9, 30). These pairs have a greatest common factor of 3 and a least common multiple of 90. The calculations confirm that these pairs meet both criteria.
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Answered by ToddBoyce | 2024-10-31