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2 years ago

I WANT SOLUTION AND EXPLANATION ANSWER IS GIVEN AT LAST!!!

Mathematics

1 answer:

Pavel [41]2 years ago

3 0

<h3><u>Question:</u></h3>

The present ages of Ram and Rehman are in the ratio 8:9. After 5 years, the ratio of their ages will be 9:10. Find their present ages.

<h3><u>Statement:</u></h3>

The present ages of Ram and Rehman are in the ratio 8:9. After 5 years, the ratio of their ages will be 9:10.

<h3><u>Solution:</u></h3>

Let the present age of Ram and Rehman be 8x years and 9x years respectively.
After 5 years, their ages will be 9x years and 10 years respectively.
Therefore, by the problem

$\frac{8x + 5}{9x + 5} = \frac{9}{10} \\ = > 10(8x + 5) = 9(9x + 5) \\ = > 80x + 50 = 81x + 45 \\ = > 50 - 45 = 81x - 80x \\ = > x = 5$

So, the present age of Ram = 8x years = (8×5) years = 40 years
The present age of Rehman = 9x years = (9×5) years = 45 years

<h3><u>Answer:</u></h3>

The present ages of Ram and Rehman are 40 years and 45 years respectively.

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