document.write( "Question 29328: A wife and husband, Linda and Mark, have ages that total 80 years. Two years ago, 2 times Mark's age was 2 years more than 3 times Linda's age. How old is each now? \n" ); document.write( "
Algebra.Com's Answer #16119 by Paul(988)![]() ![]() ![]() You can put this solution on YOUR website! Let Linda's age be x \n" ); document.write( "Let Mark's age be y \n" ); document.write( "x+y=80 (solve for y) \n" ); document.write( "y=80-x (subitution)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Two years ago Mark's age = y-2 \n" ); document.write( "Two years ago Linda's age = x-2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Equation: \n" ); document.write( "3(x-2)+2=2(y-2) \n" ); document.write( "3x-6+2=2y-4 \n" ); document.write( "Subsitue for y \n" ); document.write( "3x-4=2(80-x)-4 \n" ); document.write( "3x-4=160-2x-4 \n" ); document.write( "5x=160 \n" ); document.write( "x=32\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y=80-32 \n" ); document.write( "y=48\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Hence, Linda is 32 years old and Mark is 48 years old. \n" ); document.write( "PAul. \n" ); document.write( " \n" ); document.write( " |