document.write( "Question 1061083: Jack is 4 times as old as Lucy. 9 years from now the sum of their age will be 53. How old are they?
\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #676012 by Cromlix(4381)![]() ![]() You can put this solution on YOUR website! Hi there, \n" ); document.write( "Jack is 4 times as old as Lucy. \n" ); document.write( "J = 4L .........Eq(1) \n" ); document.write( "9 years from now the sum of their age will be 53. \n" ); document.write( "(J + 9) + (L + 9) = 53........Eq(2) \n" ); document.write( "Substitute 4L from Eq(1) for J in Eq(2) \n" ); document.write( "4L + 9 + L + 9 = 53 \n" ); document.write( "Collect like terms \n" ); document.write( "4L + L = 53 - 18 \n" ); document.write( "5L = 35 \n" ); document.write( "L = 7 \n" ); document.write( "Lucy is 7 years old \n" ); document.write( "Jack is 28 years old. \n" ); document.write( "Hope this helps :-) \n" ); document.write( " |