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Relation between HCF and LCM

the ratio of ...

Question

the ratio of three numbers is 1:2:3 and HCF is 12 find the numbers

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Solution

Dear student
Let the numbers be x, 2x and 3x.
The HCF in x, 2x and 3x is x because 1, 2, 3 are prime.
Hence,
x = 12; then the other numbers are 24 and 36.
Regards

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