document.write( "Question 149563: the four oldest people in Golden City have lived 384 years. the difference in ages for the youngest and the next oldest is 14. the next youngest is 3 years older than the youngest. the oldest is 20 years older than the average of the next oldest and youngest. How old is each? \n" ); document.write( "
Algebra.Com's Answer #109748 by ankor@dixie-net.com(22740)\"\" \"About 
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the four oldest people in Golden City have lived 384 years. the difference in ages for the youngest and the next oldest is 14. the next youngest is 3 years older than the youngest. the oldest is 20 years older than the average of the next oldest and youngest. How old is each?
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\n" ); document.write( "Let the 4 people be w,x,y,& z (youngest to oldest)
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\n" ); document.write( "Write an equation for each statement
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\n" ); document.write( "\"the four oldest people in Golden City have lived 384 years.\"
\n" ); document.write( "w + x + y + z = 384
\n" ); document.write( ":
\n" ); document.write( "\"the difference in ages for the youngest and the next oldest is 14.\"
\n" ); document.write( "y - w = 14
\n" ); document.write( "y = w + 14
\n" ); document.write( ":
\n" ); document.write( "\"the next youngest is 3 years older than the youngest.
\n" ); document.write( "x = w + 3
\n" ); document.write( ":
\n" ); document.write( "the oldest is 20 years older than the average of the next oldest and youngest.
\n" ); document.write( " z = \"%28%28w%2By%29%29%2F2\" + 20
\n" ); document.write( "multiply equation by 2 to get rid of the denominator
\n" ); document.write( " 2z = w + y + 2(20)
\n" ); document.write( " 2z = w + y + 40
\n" ); document.write( "Replace y with (w+14)
\n" ); document.write( "2z = w + (w+14) + 40
\n" ); document.write( "2z = 2w + 54
\n" ); document.write( "Divide equation by 2:
\n" ); document.write( "z = w + 27
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\n" ); document.write( "How old is each?
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\n" ); document.write( "Replace x, y, and z in the total equation with the above equations:
\n" ); document.write( "w + (w+3) + (w+14) + (w+27) = 384
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\n" ); document.write( "4w + 44 = 384
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\n" ); document.write( "4w = 384 - 44
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\n" ); document.write( "4w = 340
\n" ); document.write( "w = \"340%2F4\"
\n" ); document.write( "w = 85 yrs is the youngest oldie
\n" ); document.write( "then
\n" ); document.write( "x = 85 +3
\n" ); document.write( "x = 88 yrs is the next oldie
\n" ); document.write( "and
\n" ); document.write( "y = 85 + 14
\n" ); document.write( "y = 99 yrs
\n" ); document.write( "and
\n" ); document.write( "z = 85 + 27
\n" ); document.write( "z = 112 yrs is real old guy
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\n" ); document.write( "Check solution by finding the total
\n" ); document.write( "85 + 88 + 99 + 112 = 84 \n" ); document.write( "
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