Question 214774
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Let <font color=blue>x</font>= no. of years old of Southern State


Then, <font color=blue>18 + x </font> = no. of years of Western State compared to Southern ( 18 yrs older ), {{{condtn1}}}


Also, Western is <font color=blue>2.5(x)</font> as old as Southern State, {{{condtn2}}}.


We equate the 2 conditions:
{{{condtn1=condtn2}}}
{{{18+x=2.5(x)}}}
{{{18=2.5x-x}}}
{{{18=1.5x}}} ------> {{{cross(18)12/cross(1.5)=cross(1.5)x/cross(1.5)}}}
{{{red(x=12yrs)}}}, no. of years old of Southern State


Via {{{condtn1}}}: {{{18+highlight(12yrs)=red(30yrs)}}}, no. of years old of Western State.

Or, via {{{condtn2}}}: {{{2.5(highlight(12yrs))=red(30yrs)}}}


Thank you,
Jojo</font>