document.write( "Question 455534: the dads age in months is the same as his sons age in weeks.the grandpas age is twice the dads age and 8 times the grandsons age plus four years.\r
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document.write( "Dad:______ Grandpa:______\r
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document.write( "Son:______ \n" );
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Algebra.Com's Answer #312753 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! g = grandpa's age in years \n" ); document.write( "d = dad's age in yrs \n" ); document.write( "s = grandson's age \n" ); document.write( ": \n" ); document.write( "Write an equation for each statement \n" ); document.write( ": \n" ); document.write( "the dads age in months is the same as his sons age in weeks. \n" ); document.write( "12d = 52s \n" ); document.write( "simplify, divide by 4 \n" ); document.write( "3d = 13s \n" ); document.write( "3d - 13s = 0; this form for elimination \n" ); document.write( ": \n" ); document.write( "the grandpas age is twice the dads age \n" ); document.write( "g = 2d \n" ); document.write( ": \n" ); document.write( "And 8 times the grandsons age plus four years. \n" ); document.write( "g = 8s + 4 \n" ); document.write( "replace g with 2d \n" ); document.write( "2d = 8s + 4 \n" ); document.write( "2d - 8s = 4 \n" ); document.write( ": \n" ); document.write( "Two equations \n" ); document.write( "3d - 13s = 0 \n" ); document.write( "2d - 8s = 4 \n" ); document.write( "multiply the 1st equation by 2, the 2nd equation by 3, results \n" ); document.write( "6d - 26s = 0 \n" ); document.write( "6d - 24s = 12 \n" ); document.write( "----------------subtraction eliminates d, find s \n" ); document.write( " -2s = -12 \n" ); document.write( " s = 6 yrs is grandsons age \n" ); document.write( "then \n" ); document.write( "12d = 52s \n" ); document.write( "12d = 52(6) \n" ); document.write( "12d = 312 \n" ); document.write( "d = \n" ); document.write( "d = 26 yrs is dad's age \n" ); document.write( "and \n" ); document.write( "g = 2(26) \n" ); document.write( "g = 52 yrs is grandpa's age \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution in the statement: \n" ); document.write( "'Grandpa is 8 times the grandsons age plus four years.\" \n" ); document.write( "52 = 8(6) + 4 \n" ); document.write( "52 = 48 + 4 \n" ); document.write( " |