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shusha [124]
2 years ago
12

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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