document.write( "Question 1014815: Matt, Rosa, and Kathy are cousins. If you combine their ages, they would be 40 years old. Matt is one-third of rosa's age. Kathy is five years older than rosa. How old are the three cousins ? \r
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Algebra.Com's Answer #631181 by robertb(5830)![]() ![]() You can put this solution on YOUR website! m+r+k=40\r \n" ); document.write( "\n" ); document.write( "m = r/3\r \n" ); document.write( "\n" ); document.write( "k=r+5\r \n" ); document.write( "\n" ); document.write( "The three equations imply, by direct substitution, \r \n" ); document.write( "\n" ); document.write( "r/3 + r + (r+5) = 40\r \n" ); document.write( "\n" ); document.write( "7r/3 = 35 after adding like terms and transposing the constant...\r \n" ); document.write( "\n" ); document.write( "7r = 105 after cross-multiplication\r \n" ); document.write( "\n" ); document.write( "r = 15\r \n" ); document.write( "\n" ); document.write( "Meaning, Matt is 15/3 = 5 five years old, and Kathy is 15+5 = 20 years old. \n" ); document.write( " |