document.write( "Question 661570: Kurt is 12 years younger than Mark. When Mark's age is increased by 20% and Kurt's age is increased by 25%, the sum of their ages is 83. Find Kurt's age.\r
\n" ); document.write( "\n" ); document.write( "I am having a hard time coming up with the equation to solve. I think the answer is 28, but I need an algebraic equation to solve.
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Algebra.Com's Answer #411688 by lwsshak3(11628)\"\" \"About 
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Kurt is 12 years younger than Mark. When Mark's age is increased by 20% and Kurt's age is increased by 25%, the sum of their ages is 83. Find Kurt's age.
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\n" ); document.write( "let x=Kurt's age
\n" ); document.write( "x+12=Mark's age
\n" ); document.write( "25% increase in Kurt's age=25%x=.25x
\n" ); document.write( "20% increase in Mark's age=20%(x+12)=.2x+2.4
\n" ); document.write( "..
\n" ); document.write( "[x+.25x]+[(x+12)+(.2x+2.4)]=83
\n" ); document.write( "x+.25x+x+12+.2x+2.4=83
\n" ); document.write( "2.45x+14.4=83
\n" ); document.write( "2.45x=68.6
\n" ); document.write( "x=28
\n" ); document.write( "Kurt's age=28
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