document.write( "Question 105711: Paula is 12 years older than brother Bob. In 4 years, Bob will be 2/3 as old as Paula. How old are they now? \n" ); document.write( "
Algebra.Com's Answer #76943 by jermz69(5)![]() ![]() ![]() You can put this solution on YOUR website! Paula is 12 years older than brother Bob. In 4 years, Bob will be 2/3 as old as Paula. How old are they now?\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let x: Bob's age \n" ); document.write( " x + 12: Paula's age\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "In four years:\r \n" ); document.write( "\n" ); document.write( "Bob's age: x + 4 \n" ); document.write( "Paula's age: x + 16\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Equation: x+4=(2/3)(x + 16) \n" ); document.write( " 3(x+4)=(3)(2/3)(x+16) \n" ); document.write( " 3x+12=2(x+16) \n" ); document.write( " 3x+12=2x+32 \n" ); document.write( " 3x-2x=32-12 \n" ); document.write( " x=20\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " 20+12=32\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Bob's age now: 20 \n" ); document.write( "Paula's age: 32\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Check: x+4=(2/3)(x + 16) \n" ); document.write( " 20+4=(2/3)(20+16) \n" ); document.write( " 24=(2/3)(36) \n" ); document.write( " 24=24\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "By the way, I'm jermz (my nickname). Hope I helped! \n" ); document.write( " |