document.write( "Question 252437: two years ago, Anton was three times as old as his sister, Nathalie. In 4 years, he will be only twice his sister's age. Find their present ages? \n" ); document.write( "
Algebra.Com's Answer #184340 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Let their present ages by a & n
\n" ); document.write( ":
\n" ); document.write( "Write an equation for each statement:
\n" ); document.write( ":
\n" ); document.write( "two years ago, Anton was three times as old as his sister, Nathalie.
\n" ); document.write( "a - 2 = 3(n-2)
\n" ); document.write( "a - 2 = 3n - 6
\n" ); document.write( "a = 3n - 6 + 2
\n" ); document.write( "a = 3n - 4
\n" ); document.write( ":
\n" ); document.write( "In 4 years, he will be only twice his sister's age.
\n" ); document.write( "a + 4 = 2(n + 4)
\n" ); document.write( "a + 4 = 2n + 8
\n" ); document.write( "a = 2n + 8 - 4
\n" ); document.write( "a = 2n + 4
\n" ); document.write( ":
\n" ); document.write( "Find their present ages?
\n" ); document.write( "Replace a with the 1st equation, find n
\n" ); document.write( "3n - 4 = 2n + 4
\n" ); document.write( "3n - 2n = 4 + 4
\n" ); document.write( "n = 8
\n" ); document.write( ":
\n" ); document.write( "I'll let you find a
\n" ); document.write( "
\n" );