document.write( "Question 271627: Rita is twice as old as her cousin Lenny, who is 4 years older than their cousin Tony. The sum of all three of their ages is 72. How old is Rita? \n" ); document.write( "

Algebra.Com's Answer #198828 by mananth(16946) $\"\"$ $\"About$

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Rita is twice as old as her cousin Lenny, who is 4 years older than their cousin Tony. \r
\n" ); document.write( "\n" ); document.write( "The sum of all three of their ages is 72. How old is Rita?\r
\n" ); document.write( "\n" ); document.write( "Let Tony's age x\r
\n" ); document.write( "\n" ); document.write( "lenny's age will be x+4\r
\n" ); document.write( "\n" ); document.write( "rita'a age will be 2(x+4)\r
\n" ); document.write( "\n" ); document.write( "the sum of their ages = 72\r
\n" ); document.write( "\n" ); document.write( "x +x+4 +2(x+4) =72\r
\n" ); document.write( "\n" ); document.write( "x+x+4 + 2x +8 =72\r
\n" ); document.write( "\n" ); document.write( "4x+12=72\r
\n" ); document.write( "\n" ); document.write( "4x=72-12
\n" ); document.write( "4x=60
\n" ); document.write( "x=15 which is Tony's age
\n" ); document.write( "Lenny's age will be 15+4 = 19 years
\n" ); document.write( "Rita's age = 2*(15+4)= 38 years\r
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