document.write( "Question 160921: Obie told Beth I am twice as old as you were when I was as old as you are. Their ages told 49. How old is each. \n" ); document.write( "
Algebra.Com's Answer #118634 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Obie told Beth I am twice as old as you were when I was as old as you are. Their ages told 49. How old is each. \n" ); document.write( ": \n" ); document.write( "Let A = O's age now \n" ); document.write( "Let B = Beth's age now \n" ); document.write( ": \n" ); document.write( "A + B = 49 \n" ); document.write( "B = (49-A) \n" ); document.write( ": \n" ); document.write( "Write an equation for this statement: \n" ); document.write( "\"Obie told Beth I am twice as old as you were when I was as old as you are.\" \n" ); document.write( "A = 2(B - (A-B)) \n" ); document.write( "A = 2(B - A + B \n" ); document.write( "A = 2(2B-A) \n" ); document.write( "A = 4B - 2A \n" ); document.write( "A + 2A = 4B \n" ); document.write( "3A = 4B \n" ); document.write( "Substitute (49-A) for B \n" ); document.write( "3A = 4(49-A) \n" ); document.write( "3A = 196 - 4A \n" ); document.write( "3A + 4A = 196 \n" ); document.write( "A = \n" ); document.write( "A = 28 yrs old is O's age \n" ); document.write( "Then \n" ); document.write( "49 - 28 = 21 yrs is B's age \n" ); document.write( ": \n" ); document.write( "See if that fits the statement: \n" ); document.write( "Obie told Beth I am twice as old as you were when I was as old as you are. \n" ); document.write( "28 = 2(21 - 7) \n" ); document.write( "28 = 2(14) \n" ); document.write( " |