Question 1200952
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Two consecutive numbers are represented by x and x + 1 if 6 is added to the first number 
and 2 is subtracted from the second number, the quotient of the new number is 9/2. 
determine the numbers algebraically.
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<pre>
First number becomes (x+6).

Second number becomes ((x+1)-2) = (x-1).


The ratio of the two new numbers is  {{{(x+6)/(x-1)}}}.

This ratio equals {{{9/2}}}:  

    {{{(x+6)/(x-1)}}} = {{{9/2}}}.


To solve this equation, cross multiply

    2(x+6) = 9*(x-1).


Simplify and find x

    2x + 12 = 9x - 9

    12 + 9 = 9x - 2x

      21   =   7x

       x   =   21/7 = 3,


<U>ANSWER</U>.  The two original numbers are 3 and 4.
</pre>

Solved algebraically.