document.write( "Question 1126533: Sally is 3 years older than Helen. The product of their ages is 70. How old is Helen?
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Algebra.Com's Answer #742855 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Sally is 3 years older than Helen. \n" ); document.write( "s = h + 3 \n" ); document.write( " The product of their ages is 70. \n" ); document.write( "s * h = 70 \n" ); document.write( " How old is Helen? \n" ); document.write( "in the above equation, replace s with (h+3) \n" ); document.write( "(h+3)*h = 70 \n" ); document.write( "h^2 + 3h = 70 \n" ); document.write( "our old friend, the quadratic equation!! \n" ); document.write( "h^2 + 3h - 70 = 0 \n" ); document.write( "You can use the quadratic equation; a=1; b=3; c=-70, but this will factor to \n" ); document.write( "(h+10)(h-7) = 0 \n" ); document.write( "I'm sure Helen is a positive person, therefore \n" ); document.write( "h = 7 yrs \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Obviously Sally will be 10, it checks out; 10 * 7 = 70 \n" ); document.write( " |