Question

Three numbers are in the ratio 1 : 2 : 3 and their H.C.F is 12. The numbers are

A) 4, 8, 12 B) 5, 10, 15 C) 10, 20, 30 D) 12, 24, 36

Answer 1

Answer:

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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