Question

Three numbers are in the ratio 1:2:3 and their hcf isc12

Answer 1

Let the numbers be x, 2x and 3x.

As the HCF is the highest factor common in all the three, so the common number in x, 2x and 3x is x.

Therefore, x = 12.

=> 2x = 24

=> 3x = 36

So the numbers are 12, 24 and 36.

Answer 2

The correct answer is 12, 24, 36.

Given: Ratio of number = 1:2:3.

HCF of all the three numbers = 12.

To Find: All the numbers.

Solution:

Ratio of number = 1:2:3.

Let the first number = x.

Let the second number = 2x.

Let the third number = 3x.

Now as common factor of all three is x. So it will be equal to HCF, as it is the highest common factor.

So x = 12.

2x = 2*12 = 24

3x = 3*12 = 36

Hence, the numbers are 12, 24 and 36.

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