Question

the LCM of two numbers is 24 and the GCF is 12 what are the 2 numbers

Answer 1

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Answer: 12 and 24

Lets say that a and b are the numbers and z is their hcf

a=xz

b=yz

ab=lcm×z => xz×yz=lcm×z => xyz=lcm => xy=lcm/z => xy=24/12 => xy=2

The only pair we have is (1, 2)

a=12×1=12

b=12×2=24

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