document.write( "Question 1202870: The ratio of Kim's age to her daughter's age is 5 : 2. Four years ago, the ratio of their ages was 3 : 1. How old will Kim be in 6 years' time?\r
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Algebra.Com's Answer #838051 by greenestamps(13198)\"\" \"About 
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\n" ); document.write( "When the given information in a problem includes a ratio, the amount of work needed to solve the problem is nearly always less if you use that ratio to set up the problem. In this problem, given the ratio 5:2 of their current ages....

\n" ); document.write( "Let 5x = Kim's age
\n" ); document.write( "Let 2x = daughter's age

\n" ); document.write( "Then

\n" ); document.write( "5x-4 = Kim's age 4 years ago
\n" ); document.write( "2x-4 = daughter's age 4 years ago

\n" ); document.write( "The ratio of their ages 4 years ago was 3:1.

\n" ); document.write( "\"5x-4=3%282x-4%29\"
\n" ); document.write( "\"5x-4=6x-12\"
\n" ); document.write( "\"x=8\"

\n" ); document.write( "Kim's age now is 5x = 40; 6 years from now it will be 46.

\n" ); document.write( "ANSWER: 46

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