document.write( "Question 129974: Ann's age is seven-tenths of Bills age. In 4 years Ann's age will be eight-elevenths of Bills age. how old is Bill now? \n" ); document.write( "
Algebra.Com's Answer #94929 by josmiceli(19441)\"\" \"About 
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Let \"a\"= Ann's age now
\n" ); document.write( "Let \"b\"= Bill's age now
\n" ); document.write( "\"a+=+%287%2F10%29%2Ab\"
\n" ); document.write( "In 4 years Ann will be \"a+%2B+4\"
\n" ); document.write( "In 4 years Bill will be \"b+%2B+4\"
\n" ); document.write( "\"a+%2B+4+=+%288%2F11%29%2A%28b+%2B+4%29\"
\n" ); document.write( "substitute \"a\" in the 1st equation for
\n" ); document.write( "\"a\" in the last equation
\n" ); document.write( "\"%287%2F10%29%2Ab+%2B+4+=+%288%2F11%29%2A%28b+%2B+4%29\"
\n" ); document.write( "\"%287%2F10%29%2Ab+%2B+4+=+%288%2F11%29%2Ab+%2B+%2832%2F11%29\"
\n" ); document.write( "multiply both sides by \"11%2A10\"
\n" ); document.write( "\"7%2A11%2Ab+%2B+4%2A11%2A10+=+8%2A10%2Ab+%2B+10%2A32\"
\n" ); document.write( "\"77b+%2B+440+=+80b+%2B+320\"
\n" ); document.write( "\"3b+=+120\"
\n" ); document.write( "\"b+=+40\"
\n" ); document.write( "Bill is 40 now
\n" ); document.write( "check:
\n" ); document.write( "\"a+=+%287%2F10%29%2Ab\"
\n" ); document.write( "\"a+=+%287%2F10%29%2A40\"
\n" ); document.write( "\"a+=+28\"
\n" ); document.write( "\"a+%2B+4+=+%288%2F11%29%2A%28b+%2B+4%29\"
\n" ); document.write( "\"28+%2B+4+=+%288%2F11%29%2A%2840+%2B+4%29\"
\n" ); document.write( "\"32+=+%288%2F11%29%2A44\"
\n" ); document.write( "\"32+=+32\"
\n" ); document.write( "OK
\n" ); document.write( "
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