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 #838045 by Theo(13342)\"\" \"About 
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k = kim''s age
\n" ); document.write( "d = kim's dauaghter's age.
\n" ); document.write( "you get:
\n" ); document.write( "k/d = 5/2
\n" ); document.write( "(k-4)/(d-4) = 3/1
\n" ); document.write( "from k/d = 5/2, you get k = 5d/2
\n" ); document.write( "from (k-4)/(d-4) = 3/1, you get:
\n" ); document.write( "k = 3*(d-4) + 4 which becomes k = 3d-8.
\n" ); document.write( "this means that 5d/2 = 3d-8 because they are both equal to k.
\n" ); document.write( "multiply both sides of this equation by 2 to get 5d = 6d-16
\n" ); document.write( "solve for d to get d = 16
\n" ); document.write( "since k = 5d/2, you get k = 40
\n" ); document.write( "you now know that k = 40 and d = 16
\n" ); document.write( "k/d becomes 40/16 which is equal to 5/2.
\n" ); document.write( "(k-4)/(d-4) becomes 36/12 which is equal to 3/1.
\n" ); document.write( "all the ratios work out indicating the value of k and d are good.
\n" ); document.write( "since k = 40, then k + 6 = 46.
\n" ); document.write( "that's your answer.
\n" ); document.write( "kay will be 46 years old in 6 years.
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