document.write( "Question 1107109: A grandparent is eight times the age of a child. One year from now the grandparent will be seven times the age the child will be then. Find the present age of each\r
\n" ); document.write( "\n" ); document.write( "(I posted another problem that I put under the wrong word problem topic. I am sorry about that) \n" ); document.write( "

Algebra.Com's Answer #722156 by ikleyn(52810) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "

\r\n" );
document.write( "G     = 8*C        (1)    (\"A grandparent is eight times the age of a child.\")\r\n" );
document.write( "\r\n" );
document.write( "G + 1 = 7*(C+1)    (2)    (\"One year from now the grandparent will be seven times the age the child will be then.\")\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "From (1), substitute the expression of G into equation (2).  You will get\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "8C + 1 = 7*(C+1),\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "8C + 1 = 7C + 7  ====>  8C - 7C = 7 - 1  ====>  C = 6.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Answer.  The child is 6 years old.  The grandfather/grandmother is 6*8 = 48 years old.\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );