document.write( "Question 1079508: Al is ten years older than Jerry. At one point Al was three times Jerry's age. How old was Jerry when Al three times older than him?
\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #693833 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Al is ten years older than Jerry. \n" ); document.write( "a = j + 10 \n" ); document.write( " At one point Al was three times Jerry's age. \n" ); document.write( "let y = \"the point\" \n" ); document.write( "a - y = 3(j-y) \n" ); document.write( "a = 3j - 3y + y \n" ); document.write( "a = 3j - 2y \n" ); document.write( "replace a with (j+10) \n" ); document.write( "j + 10 = 3j - 2y \n" ); document.write( "10 = 3j - j - 2y \n" ); document.write( "10 = 2j - 2y \n" ); document.write( "simplify, divide by 2 \n" ); document.write( "5 = j - y \n" ); document.write( "We can write it: \n" ); document.write( "y = j - 5 \n" ); document.write( " : \n" ); document.write( "The problem with this problem is there are many solutions: \n" ); document.write( "let a = 40 yrs old, then we know j = 30 yrs, find y \n" ); document.write( "y = 30 - 5 \n" ); document.write( "y = 25 yrs ago Al(40) was 3 times Jerry (30) \n" ); document.write( "check this \n" ); document.write( "40 - 25 = 3(30-25) \n" ); document.write( "15 = 3(5) \n" ); document.write( ": \n" ); document.write( "If a = 20, then j = 10, find y \n" ); document.write( "y = 10 - 5 \n" ); document.write( "y = 5 \n" ); document.write( "20 - 5 = 3(10 - 5) \n" ); document.write( ": \n" ); document.write( "How about a = 27, then j = 17 and y = 12 \n" ); document.write( "27 - 12 = 3(17 - 12)\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |