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
\n" ); document.write( "\n" ); document.write( "Dad:______ Grandpa:______\r
\n" ); document.write( "\n" ); document.write( "Son:______
\n" ); document.write( "

Algebra.Com's Answer #312753 by ankor@dixie-net.com(22740)\"\" \"About 
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 = \"312%2F12\"
\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( "
\n" );