document.write( "Question 1171129: Paul's age is three years older than Ruth's age. If Emma's age is twice that of Paul's age, find out Paul's age if the total of them two years ago was 51 years. \n" ); document.write( "
Algebra.Com's Answer #796034 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! let p = Paul's present age \n" ); document.write( "let r = Ruth's \n" ); document.write( "let e = Emma's \n" ); document.write( ": \n" ); document.write( "Write an equation for each statement \n" ); document.write( ": \n" ); document.write( "Paul's age is three years older than Ruth's age. \n" ); document.write( " p = r + 3 \n" ); document.write( "or we can write it \n" ); document.write( " r = p - 3 \n" ); document.write( "If Emma's age is twice that of Paul's age, find out Paul's age \n" ); document.write( " e = 2p \n" ); document.write( "if the total of them two years ago was 51 years. \n" ); document.write( " (p-2) + (r-2) + (e-2) = 51 \n" ); document.write( "Replace r with (p-3) and replace e with 2p \n" ); document.write( "p-2 + p-3-2 + 2p-2 = 51 \n" ); document.write( "combine like terms \n" ); document.write( "4p - 9 = 51 \n" ); document.write( "4p = 51 + 9 \n" ); document.write( "4p = 60 \n" ); document.write( "p = 60/4 \n" ); document.write( "p = 15 yrs is Paul's age \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check in the last equation; r = 12, e = 30 \n" ); document.write( "15-2 + 12-2 + 30-2 = \n" ); document.write( "13 + 10 + 28 = 51 \n" ); document.write( " |