<PRE><B>Question 401917</B>
The key is that when they both hit the same weight, they both
will have been gaining and losing for the same number of weeks
Let {{{w}}} = that number of weeks
given:
{{{180 + 2*w = 250 - 1*w}}}
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{{{3w = 70}}}
{{{w = 23.333}}}
1/3 of the way through the 24th week they will weigh the same
check answer:
In 23.333 weeks, Martia will weigh {{{180 + 2*23.333 = 226.67}}}
In 23.333 weeks, Peggy will weigh {{{250 - 1*23.333 =  226.67}}}
OK</PRE>