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)![]() ![]() 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( " |