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
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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. \n" );
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Algebra.Com's Answer #411688 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! 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. \n" ); document.write( "** \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 \n" ); document.write( " |