document.write( "Question 126289: 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 #92544 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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\n" ); document.write( "Ann's age is seven-tenths of Bill's age.
\n" ); document.write( "a = .7b
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\n" ); document.write( "In 4 years Ann's age will be eight-elevenths of bill's age.
\n" ); document.write( "(a + 4) = $\"8%2F11\"$ (b+4)
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\n" ); document.write( "Multiply equation by 11:
\n" ); document.write( "11(a+4) = 8(b+4)
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\n" ); document.write( "11a + 44 = 8b + 32
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\n" ); document.write( "11a = 8b + 32 - 44
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\n" ); document.write( "11a = 8b - 12
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\n" ); document.write( "How old is Bill now.
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\n" ); document.write( "Substitute .7b for a in the above equation
\n" ); document.write( "11(.7b) = 8b - 12
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\n" ); document.write( "7.7b = 8b - 12
\n" ); document.write( "7.7b - 8b = -12
\n" ); document.write( "-.3b = - .12
\n" ); document.write( "b = $\"%28-12%29%2F%28-.3%29\"$
\n" ); document.write( "b = +40 yrs is Bill's age
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\n" ); document.write( "To check solution find Ann's age .7(40) = 28 yrs
\n" ); document.write( "Check solution in the statement:
\n" ); document.write( "\"In 4 years Ann's age will be eight-elevenths of bill's age.\"
\n" ); document.write( "(28+4) = $\"8%2F11\"$ (40+4)
\n" ); document.write( "32 = $\"8%2F11\"$ *44; confirms our solution \n" ); document.write( "

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