document.write( "Question 401587: 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( "
Algebra.Com's Answer #284172 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+%2B+4\" = Ann's age in 4 years
\n" ); document.write( "\"b+%2B+4\" = Bill's age in 4 years
\n" ); document.write( "given:
\n" ); document.write( "(1) \"a+=+%287%2F10%29%2Ab\"
\n" ); document.write( "(2) \"a+%2B+4+=+%288%2F11%29%2A%28b+%2B+4%29\"
\n" ); document.write( "--------------------------------
\n" ); document.write( "(1) \"a+=+%287%2F10%29%2Ab\"
\n" ); document.write( "and,
\n" ); document.write( "(2) \"a+%2B+4+=+%288%2F11%29%2A%28b+%2B+4%29\"
\n" ); document.write( "Multiply both sides by \"11\"
\n" ); document.write( "(2) \"11a+%2B+44+=+8b+%2B+32\"
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) \"11%2A%287%2F10%29%2Ab+%2B+44+=+8b+%2B+32\"
\n" ); document.write( "(2) \"77b+%2B+440+=+80b+%2B+320\"
\n" ); document.write( "(2) \"3b+=+120\"
\n" ); document.write( "(2) \"b+=+40\"
\n" ); document.write( "Bill is 40 now
\n" ); document.write( "check answer:
\n" ); document.write( "From (1),
\n" ); document.write( "(1) \"a+=+%287%2F10%29%2A40\"
\n" ); document.write( "(1) \"a+=+28\"
\n" ); document.write( "And, frm (2),
\n" ); document.write( "(2) \"28+%2B+4+=+%288%2F11%29%2A%2840+%2B+4%29\"
\n" ); document.write( "(2) \"32+=+%288%2F11%29%2A%2840+%2B+4%29\"
\n" ); document.write( "(2) \"32+=+32\"
\n" ); document.write( "OK\r
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