document.write( "Question 246731: ann's age is seven-tenths of bill's age.In 4 years ann's age will be eight-elevenths of bill's age.How old is bill now?
\n" ); document.write( "28,33,40,or 68
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Algebra.Com's Answer #180121 by College Student(505)\"\" \"About 
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Ann's age is seven-tenths of bill's age.
\n" ); document.write( "Let Bill = x
\n" ); document.write( "Let Ann = 7/10 x
\n" ); document.write( ".
\n" ); document.write( "If in 4 years ann's age will be eight-elevenths of bill's age, our equation becomes:
\n" ); document.write( "\"%287x%2F10%29%2B4=%28x%2B4%29%288%2F11%29\"
\n" ); document.write( "Let's start finding common denominators to be able to add fractions. Then we will worry about solving for x.
\n" ); document.write( "\"%287x%2F10%29%2B%2840%2F10%29=%28x%2B4%29%288%2F11%29\"
\n" ); document.write( "\"%287x%2B40%29%2F10=%28%28x%2F1%29%288%2F11%29%29%2B%28%284%2F1%29%288%2F11%29%29\"
\n" ); document.write( "\"%287x%2B40%29%2F10=%288x%2F11%29%2B%2832%2F11%29\"
\n" ); document.write( "\"7x%2B40%29%2F10=%288x%2B32%29%2F11\"
\n" ); document.write( "\"%287x%2B40%29%2F10%29=%28%288x%2B32%29%2F11%29\"
\n" ); document.write( "\"%28%28%287x%2B40%29%2F10%29%2811%2F11%29%29=%28%28%288x%2B32%29%2F11%29%2810%2F10%29%29\"
\n" ); document.write( "\"%28%28%2811%287x%2B40%29%29%2F110%29%29=%28%28%2810%288x%2B32%29%29%2F110%29%29\"
\n" ); document.write( "\"%2877x%2B440%29%2F110=%2880x%2B320%29%2F110\"
\n" ); document.write( "If we multiply by 110 on both sides of the equation, we get:
\n" ); document.write( "\"77x%2B440=80x%2B320\"
\n" ); document.write( "Now solve for x:
\n" ); document.write( "\"440-320=80x-77x\"
\n" ); document.write( "\"120=3x\"
\n" ); document.write( "\"x=120%2F3\"
\n" ); document.write( "\"x=40\" <-- Bill's age.
\n" ); document.write( ".
\n" ); document.write( "Remember to check your answer by plugging this value in the original equation: \"%287x%2F10%29%2B4=%28x%2B4%29%288%2F11%29\" Both sides of the eqn must equal to each other.
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