Multiple choice

The LCM of two numbers is 108 and their HCF is 3. If the sum of the numbers is 39, then find the ratio of the two numbers.

  1. 4 : 9

  2. 2 : 3

  3. 5 : 4

  4. 3 : 4

  5. 5 : 6
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A Correct answer
Explanation

Let the required numbers be 3a and 3b.

So, LCM of 3a and 3b is 108.

3ab = 108

ab = 36       --------------------(1)

Now, 3a + 3b = 39

a + b = 13

On solving (1) and (2), we get

a = 4 and b = 9

So, the required ratio is 4 : 9.

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