document.write( "Question 304911: A says to be,\"I am 5 times as old as you were, when i was as old as you are.\" if the sum of their present age is 64. Find their present ages. \n" ); document.write( "
Algebra.Com's Answer #218436 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A says to be,\"I am 5 times as old as you were, when i was as old as you are.\" \n" ); document.write( ": \n" ); document.write( "(a-b) = the difference between their ages \n" ); document.write( "therefore \n" ); document.write( "5(b - (a-b)) = a \n" ); document.write( "Remove the inner bracket \n" ); document.write( "5(b - a + b) = a \n" ); document.write( "5(2b-a) = a \n" ); document.write( "10b - 5a = a \n" ); document.write( "10b = a + 5a \n" ); document.write( "10b = 6a \n" ); document.write( "b = \n" ); document.write( "b = .6a \n" ); document.write( ": \n" ); document.write( "if the sum of their present age is 64. Find their present ages. \n" ); document.write( "a + b = 64 \n" ); document.write( "replace b with .6a \n" ); document.write( "a + .6a = 64 \n" ); document.write( "1.6a = 64 \n" ); document.write( "a = \n" ); document.write( "a = 40 yrs is a's age \n" ); document.write( "then \n" ); document.write( ".6(40) = 24 yrs is b's age \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check this in the statement: \n" ); document.write( "\"I am 5 times as old as you were, when i was as old as you are.\" \n" ); document.write( "(Difference in their ages = 16 hrs) \n" ); document.write( "5(24 - 16) = 40 \n" ); document.write( "5(8) = 40; confirms our solution \n" ); document.write( " |