document.write( "Question 696515: one grandpa, one dad, one grandson. total age of these three is 140yrs. grandsons age in months is eqaul to the age of grandpa n years and grandsons age in days is eqaul to the age of the dad in weeks. so what is the age of these three persons? \n" ); document.write( "
Algebra.Com's Answer #429067 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! one grandpa, one dad, one grandson. total age of these three is 140yrs. \n" ); document.write( " grandsons age in months is equal to the age of grandpa n years, \n" ); document.write( " and grandsons age in days is equal to the age of the dad in weeks. \n" ); document.write( " so what is the age of these three persons? \n" ); document.write( ": \n" ); document.write( "let a = grandpa's age (yrs) \n" ); document.write( "let b = dad's age \n" ); document.write( "let c = grandson's age \n" ); document.write( ": \n" ); document.write( "Write an equation for each statement: \n" ); document.write( ": \n" ); document.write( "\"one grandpa, one dad, one grandson. total age of these three is 140yrs.\" \n" ); document.write( "a + b + c = 140 \n" ); document.write( ": \n" ); document.write( "\" grandsons age in months is eqaul to the age of grandpa n years\" \n" ); document.write( "a = 12c \n" ); document.write( ": \n" ); document.write( "\"and grandsons age in days is eqaul to the age of the dad in weeks.\" \n" ); document.write( "52b = 365c \n" ); document.write( "b = \n" ); document.write( ": \n" ); document.write( "Substitue for a and b in the 1st equation \n" ); document.write( "12c + \n" ); document.write( "13c + \n" ); document.write( "mult by 52 \n" ); document.write( "52(13c) + 365c = 52(140) \n" ); document.write( "676c + 365c = 7280 \n" ); document.write( "1041c = 7280 \n" ); document.write( "c = 7280/1041 \n" ); document.write( "c ~ 7 yrs old the grandson \n" ); document.write( "How about grandpa? \n" ); document.write( "12 * 7 = 84 yrs old is grandpa \n" ); document.write( "and \n" ); document.write( "Find Dad's age, using the total yrs equation \n" ); document.write( "140 - 7 - 84 = 49 is dad's age \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check this \n" ); document.write( "52(49) = 365(7) \n" ); document.write( "divide both sides by 7 \n" ); document.write( "52*7 = 365 \n" ); document.write( "364 ~ 365, close enough? \n" ); document.write( ":\r \n" ); document.write( "\n" ); document.write( "so what is the age of these three persons? 84, 49, 7 \n" ); document.write( " |