document.write( "Question 189098: Mr. Kim is 25 years older than his daughter. In ten years Mr. Kim will be twice as old as his daughter will be. How old is each now? I know that Mr. Kim is 40 years old and the daughter is 15, but I do not know how to show my work. I do not know how to find the equation. \n" ); document.write( "
Algebra.Com's Answer #141847 by Earlsdon(6294)![]() ![]() ![]() You can put this solution on YOUR website! Let K = Mr Kim's present age and D = his daughter's present age. \n" ); document.write( "From the problem you can write: \n" ); document.write( "1) K = D+25 \"Mr Kim is 25 years older than his daughter\" \n" ); document.write( "2) K+10 = 2(D+10) \"In 10 year, Mr Kim will be twice as old as his daughter will be.\" \n" ); document.write( "Substitute the K from equation 1) into equation 2) and solve for D. \n" ); document.write( "2b) (D+25)+10 = 2(D+10) Simplify. \n" ); document.write( "2c) D+35 = 2D+20 Subtract D from both sides. \n" ); document.write( "2d) 35 = D+20 Finally, subtract 20 from both sides. \n" ); document.write( "2c) 15 = D or D = 15 \n" ); document.write( "Mr Kim's daughter's age is 15 years. \n" ); document.write( "Mr Kim's age is D+25 \n" ); document.write( "15+25 = 40 years. \n" ); document.write( " |