Question 1147435
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The setup


    {{{system(p=g+10,p+7=10+(g+7)/2)}}}


in the post by @josgarithmetic is INCORRECT.


The correct setup is THIS system of two equations


    {{{system(p=g-10,p+7=10+(g+7)/2)}}}


To solve the system, substitute my first equation to the second equation to get


    (g-10) + 7 = 10 + {{{(g+7)/2}}}.


Next, multiply both sides  by 2 and simplify, step by step


     2*(g-10) + 14 = 20 + (g+7)

     2g - 20 + 14  = 20 + g + 7

     2g - 6        = g + 27

     2g - g        = 27 + 6

      g            = 33.


Thus Greg is 33 years old.              <U>ANSWER</U>


Then Paula is 33-10 = 23 years old.     <U>ANSWER</U>
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