document.write( "Question 77874: Beth is 14 years older than Aria. Last Year Beth was three times as old as Aria. How Old is Aria? \n" ); document.write( "
Algebra.Com's Answer #55820 by ptaylor(2198)\"\" \"About 
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Let x=Aria's age now
\n" ); document.write( "Then x-1=Aria's age last year\r
\n" ); document.write( "\n" ); document.write( "And x+14=Beth's age now\r
\n" ); document.write( "\n" ); document.write( "And (x+14)-1=Beth's age last year\r
\n" ); document.write( "\n" ); document.write( "Now we are told that:\r
\n" ); document.write( "\n" ); document.write( "(x+14)-1=3(x-1) get rid of parens \r
\n" ); document.write( "\n" ); document.write( "x+14-1=3x-3 or
\n" ); document.write( "x+13=3x-3 subtract 13 and also 3x from both sides\r
\n" ); document.write( "\n" ); document.write( "x-3x+13-13=3x-3x-3-13 collect like terms\r
\n" ); document.write( "\n" ); document.write( "-2x=-16 divide both sides by -2\r
\n" ); document.write( "\n" ); document.write( "x=8----------------------Aria's age now---------ans\r
\n" ); document.write( "\n" ); document.write( "CK
\n" ); document.write( "x+14=8+14=22 Beths age now
\n" ); document.write( "x+14-1=x+13=8+13=21 Beths age last year
\n" ); document.write( "x-1=8-1=7------------------Aria's age last year\r
\n" ); document.write( "\n" ); document.write( "Last year Beth was three times as old as Aria
\n" ); document.write( "21=7*3
\n" ); document.write( "21=21
\n" ); document.write( "also
\n" ); document.write( "8+14=22
\n" ); document.write( "22=22\r
\n" ); document.write( "\n" ); document.write( "Hope this helps---ptaylor\r
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