Question

The difference between the values of a number when increased by 15% and when decreased by 30% is 90. What is the number?

Answer 1

The answer to your question is given above in the pic. I hope that it helps you!!!

Answer 2

Answer:

$= \frac{1791}{20}\\\\= 80\frac{191}{20}$

Step-by-step explanation:

$Let~the~number~be~'x'\\\\(x + \frac{15}{100}*x) - (x - \frac{30}{100}*x) = 90\\\\(x + \frac{3}{20}x) - (x - \frac{3}{10}x) = 90\\\\x + \frac{3}{20}x - x + \frac{3}{10}x = 90\\\\\frac{3}{20}x + \frac{3}{10}x = 90\\\\\frac{3}{20}x + \frac{6}{20}x = 90\\\\\frac{9}{20}x = 90\\\\x = \frac{90}{1} - \frac{9}{20}\\\\x = \frac{1800}{20} - \frac{9}{20}\\\\x = \frac{1800 - 9 }{20}\\\\x = \frac{1791}{20}\\\\x = 80\frac{191}{20}$

Hope It Helps You  :)