# Three numbers are in ratio 1 : 2 : 3 and HCF is 12. The numbers are:

A. 12, 24, 36

B. 11, 22, 33

C. 12, 24, 32

D. 5, 10, 15

**Answer: Option A **

__Solution(By Examveda Team)__

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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Related Questions on Number System

**Three numbers are in ratio 1 : 2 : 3 and HCF is 12. The numbers are:
**

A. 12, 24, 36

B. 11, 22, 33

C. 12, 24, 32

D. 5, 10, 15

HFC mean?