Question

three numbers are in the ratio 1 :2 :3 and their HCF is 12 the numbers are​

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

Answer 2

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three numbers are in the ratio 1 :2 :3 and their HCF is 12 the numbers are​

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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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hope it helps u