document.write( "Question 817284: A grandfather has lived as many years as his grandson has lived months. His son has lived as many weeks as his grandson has lived days. If you added their ages, you would get 120 years. How old is the grandfather? \n" ); document.write( "
Algebra.Com's Answer #492056 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A grandfather has lived as many years as his grandson has lived months. \n" ); document.write( " His son has lived as many weeks as his grandson has lived days. \n" ); document.write( " If you added their ages, you would get 120 years. How old is the grandfather? \n" ); document.write( ": \n" ); document.write( "let x = grandfather's age \n" ); document.write( "let y = son's age \n" ); document.write( "let z = grandson's age \n" ); document.write( ": \n" ); document.write( "\"A grandfather has lived as many years as his grandson has lived months.\" \n" ); document.write( "x = 12z \n" ); document.write( ": \n" ); document.write( "\"His son has lived as many weeks as his grandson has lived days.\" \n" ); document.write( "52y = 365z \n" ); document.write( "y = \n" ); document.write( "y ~ 7z \n" ); document.write( ": \n" ); document.write( "\"If you added their ages, you would get 120 years.\" \n" ); document.write( "x + y + z = 120 \n" ); document.write( "replace x with 12z; replace y with 7z \n" ); document.write( "12z + 7z + z = 120 \n" ); document.write( "20z = 120 \n" ); document.write( "z = 120/20 \n" ); document.write( "z = 6 yrs is grandson's age \n" ); document.write( "the \n" ); document.write( "12(6) = 72 yrs is grandfathers age \n" ); document.write( "and \n" ); document.write( "7(6) = 42 yrs is son's age\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " How old is the grandfather? 72 \n" ); document.write( " |