document.write( "Question 100766: Katy is 5 years younger than Marg. In 4 years, four times Marg's age will equal 6 times Katy's age. How old is Katy now?\r
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Algebra.Com's Answer #73445 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Write an algebra expression for each statement:
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\n" ); document.write( "Katy is 5 years younger than Marg.
\n" ); document.write( "K = M - 5
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\n" ); document.write( "In 4 years,
\n" ); document.write( "K + 4
\n" ); document.write( "and
\n" ); document.write( "M + 4
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\n" ); document.write( "four times Marg's age will equal 6 times Katy's age.
\n" ); document.write( "4(M+4) = 6(K+4)
\n" ); document.write( "4M + 16 = 6K + 24
\n" ); document.write( "4M = 6K + 24 - 16
\n" ); document.write( "4M = 6K + 8
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\n" ); document.write( "How old is Katy now?
\n" ); document.write( "Substitute (M-5) for K (From the 1st equation), find M
\n" ); document.write( "4M = 6(M-5) + 8
\n" ); document.write( "4M = 6M - 30 + 8
\n" ); document.write( "4M - 6M = -22
\n" ); document.write( "-2M = -22
\n" ); document.write( "M = 11 yrs old now
\n" ); document.write( "Then
\n" ); document.write( "K = M - 5
\n" ); document.write( "K = 11 - 5
\n" ); document.write( "K = 6 yrs is Katy now
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\n" ); document.write( "Check solution using the statement:
\n" ); document.write( "\"In 4 years, four times Marg's age will equal 6 times Katy's age.\"
\n" ); document.write( "4(15) = 6(10); confirms our solutions
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\n" ); document.write( "Did this make sense to you? Any questions?
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