document.write( "Question 469397: The sum of the ages of a gold coin and a silver coin is 65 years. The age of the gold coin 10 years from now will be 10 years less than the age of the silver coin 5 years ago. Find the present ages of the two coins. Gold coin --- yr. Silver coin--- yr. I got 1996 for the gold coin and 1971 for the silver coin. \n" ); document.write( "
Algebra.Com's Answer #322106 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
The sum of the ages of a gold coin and a silver coin is 65 years.
\n" ); document.write( " The age of the gold coin 10 years from now will be 10 years less than the age of the silver coin 5 years ago.
\n" ); document.write( " Find the present ages of the two coins. Gold coin --- yr. Silver coin--- yr.
\n" ); document.write( ":
\n" ); document.write( "Let g = age of the gold coin
\n" ); document.write( "Let s = age of the silver
\n" ); document.write( ":
\n" ); document.write( "Write an equation for each statement:
\n" ); document.write( ":
\n" ); document.write( "\"The sum of the ages of a gold coin and a silver coin is 65 years.\"
\n" ); document.write( "g + s = 65
\n" ); document.write( ":
\n" ); document.write( "\"The age of the gold coin 10 years from now will be 10 years less than the age of the silver coin 5 years ago.\"
\n" ); document.write( "g + 10 = (s-5) - 10
\n" ); document.write( "g + 10 = s - 15
\n" ); document.write( "g = s - 15 - 10
\n" ); document.write( "g = s - 25
\n" ); document.write( "Put equation into the standard form, add to the 1st equation
\n" ); document.write( "g - s = -25
\n" ); document.write( "g + s = 65
\n" ); document.write( "---------------addition eliminates s, find g
\n" ); document.write( "2g = 40
\n" ); document.write( "g = 20 yrs, age of the gold
\n" ); document.write( "then
\n" ); document.write( "20 + s = 65
\n" ); document.write( "s = 65 - 20
\n" ); document.write( "s = 45 yrs age of the silver
\n" ); document.write( ";
\n" ); document.write( ":
\n" ); document.write( "See if that works in the statement
\n" ); document.write( "\" The age of the gold coin 10 years from now will be 10 years less than the age of the silver coin 5 years ago. \"
\n" ); document.write( "20 + 10 = (45 - 5) - 10
\n" ); document.write( "30 = 40 - 10
\n" ); document.write( ":\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );