document.write( "Question 103876: Bob is 24 years younger than his father. In 2 years he will be half as old as his father. How old is each now? \n" ); document.write( "
Algebra.Com's Answer #75559 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Write an equation for each statement \n" ); document.write( ": \n" ); document.write( "\"Bob is 24 years younger than his father.\" \n" ); document.write( " B = F - 24 \n" ); document.write( ": \n" ); document.write( "\"In 2 years he will be half as old as his father.\" \n" ); document.write( " B + 2 = .5(F + 2) \n" ); document.write( " B + 2 = .5F + 1 \n" ); document.write( " B = .5F + 1 - 2 \n" ); document.write( " B = .5F - 1 \n" ); document.write( ": \n" ); document.write( "How old is each now? \n" ); document.write( "Substitute (F-24) for B in the above equation \n" ); document.write( "F - 24 = .5F - 1 \n" ); document.write( ": \n" ); document.write( "F = .5F - 1 + 24 \n" ); document.write( ": \n" ); document.write( "F -.5F = 23 \n" ); document.write( ": \n" ); document.write( ".5F = 23 \n" ); document.write( ": \n" ); document.write( "F = 23/.5 \n" ); document.write( ": \n" ); document.write( "F = 46 yrs is Father's ate now \n" ); document.write( "Then \n" ); document.write( "46 - 24 = 22 yrs is Bob's age now \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution in the statement: \n" ); document.write( "\"In 2 years he will be half as old as his father.\" \n" ); document.write( " 22 + 2 = .5(46+2) \n" ); document.write( " 24 = 24; confirms our solution \n" ); document.write( " |