document.write( "Question 378241: The ratio between the ages of the two suspects is 6:5 and the sum of their ages is 55 years. After how many years will the ratio be 8:7.? \n" ); document.write( "

Algebra.Com's Answer #268780 by ewatrrr(24785) $\"\"$ $\"About$

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document.write( "Hi,
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document.write( "the sum of their ages is 55 years
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document.write( "Let x and (55-x) represent their ages now
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document.write( "cross multiply to solve for x
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document.write( "6(55-x) = 5x
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document.write( "6*55  -6x = 5x
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document.write( "6*55 = 11x
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document.write( "30 = x  Two suspects are 30 and 25 years old now.\r
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document.write( "Let y represent the number of years from now the ratio will be 8:7
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document.write( "(30+y)/(25+y) = 8/7  cross multiplying to solve for y
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document.write( "8(25+y) = 7(30+y)
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document.write( "8*25 + 8y = 7*30 + 7y
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document.write( "y = 210 - 200 = 10, the years from now the ratio will be 8:7 \n" );
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