document.write( "Question 604573: A says to B, \"I am five times old as you were, when I was as old as you are\". The sum of their present ages is 64 years. Find their ages. \n" ); document.write( "
Algebra.Com's Answer #381367 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A says to B, \"I am five times old as you were, when I was as old as you are\". \n" ); document.write( " The sum of their present ages is 64 years. Find their ages. \n" ); document.write( ": \n" ); document.write( "Let a = A's present age \n" ); document.write( "Let b = B's present age \n" ); document.write( ": \n" ); document.write( "The sum of their present ages is 64 years.\" \n" ); document.write( "a + b = 64 \n" ); document.write( "b = (64-a) \n" ); document.write( ": \n" ); document.write( "\"A says to B, \"I am five times old as you were, when I was as old as you are\". \n" ); document.write( "a = 5(b - (a-b)) \n" ); document.write( "a = 5(b - a + b) \n" ); document.write( "a = 5(2b - a) \n" ); document.write( "a = 10b - 5a \n" ); document.write( "a + 5a = 10b \n" ); document.write( "6a = 10b \n" ); document.write( "replace b with (64-a) \n" ); document.write( "6a = 10(64-a) \n" ); document.write( "6a = 640 - 10a \n" ); document.write( "6a + 10a = 640 \n" ); document.write( "16a = 640 \n" ); document.write( "a = 640/16 \n" ); document.write( "a = 40 yrs is A's present age \n" ); document.write( "then \n" ); document.write( "64-40 = 24 yrs is B's present age \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check this out: age difference 40 - 24 = 16 yrs \n" ); document.write( " \"I am five times old as you were, when I was as old as you are\". \n" ); document.write( "40 = 5(24-16) \n" ); document.write( "40 = 5(8) \n" ); document.write( " \r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |