document.write( "Question 328468: Missing ages. Molly’s age is twice Anita’s. If the sum of
\n" );
document.write( "the squares of their ages is 80, then what are their ages? \n" );
document.write( "
Algebra.Com's Answer #235261 by nyc_function(2741)![]() ![]() You can put this solution on YOUR website! Molly's age = 2x\r \n" ); document.write( "\n" ); document.write( "Anita's age = x\r \n" ); document.write( "\n" ); document.write( "Sum of the square of their ages = (2x)^2 + x^2\r \n" ); document.write( "\n" ); document.write( "Equate to 80 and solve for x.\r \n" ); document.write( "\n" ); document.write( "(2x)^2 + x^2 = 80\r \n" ); document.write( "\n" ); document.write( "4x^2 + x^2 = 80\r \n" ); document.write( "\n" ); document.write( "5x^2 = 80\r \n" ); document.write( "\n" ); document.write( "x^2 = 80/5\r \n" ); document.write( "\n" ); document.write( "x^2 = 16\r \n" ); document.write( "\n" ); document.write( "Let sqrt = square root for short\r \n" ); document.write( "\n" ); document.write( "sqrt[x^2] = sqrt[16]\r \n" ); document.write( "\n" ); document.write( "x = 4\r \n" ); document.write( "\n" ); document.write( "Anita is 4 years old.\r \n" ); document.write( "\n" ); document.write( "Molly is 2*4 years old or 8.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |