Question

Three numbers are in the ratio 1:2:3 and their hcf is 12 then their sum is

Answer 1

12 , 24 , 36

Since, the numbers are given in the form of ratio that means their common factors have been cancelled.

Each one's common factor is HCF.

And here HCF = 12,

hence, the numbers are 12, 24 and 36.

Alternatively, 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.

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