Question

Three numbers are in the ratio of 1:2:3 and their hcf is 12.no are:

Answer 1

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 and other two no are 24 and 36