Question 1062772
Peachy is x years old.

Patty is therefore  2x-3 years old.  

{{{ (2x-3)+x = 39 }}}   (sum of their ages is 39)
{{{  3x-3 = 39 }}}
{{{  3x = 42 }}}
{{{   x = 14 }}}    —>   {{{ 2x-3 = 28-3 = 25 }}}


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Ans:  Peachy is {{{ highlight(14) }}} and Patty is {{{highlight(25) }}}
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Check:
                25+14 = 39 (ok)
              2(14)-3 = 28-3 = 25 = Patty's age (ok, because we used this relationship to find Patty's age, this only double-checks our math)