Question

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The sum of two natural numbers is 12, if the sum of their reciprocal is 4\9 find the numbers

Answer 1

3 and 9

plz mark as bra

Answer 2

Given:

The sum of two natural numbers=12

The sum of their reciprocals=4/9

To find:

The two natural numbers

Solution:

We can find the solution by following the steps given below-

Let the two numbers be A and B.

We know that the sum of A and B is 12.

Also, the sum of their reciprocals is 4/9

1/A+1/B=4/9

On taking the LCM,

B+A/AB=4/9

Since A+B= 12, we get

12/AB=4/9

AB=3×9

AB=27

Now, we need to figure out the values of A and B such that their sum is 12 and the product is 27.

So, A can be 3 or 9 and B can be 9 or 3.

Therefore, the two natural numbers are 3 and 9.