document.write( "Question 1203735: The sum of Jess, Sam and Mindy’s ages is 42. Jess is younger than Sam, but older than Mindy. Sam
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document.write( "is twice as old as Mindy, who is the youngest out of the three by 6 years. If Jess is 15 years old, how
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document.write( "old are Sam and Mindy? \n" );
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Algebra.Com's Answer #839704 by MathTherapy(10553)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "The sum of Jess, Sam and Mindy’s ages is 42. Jess is younger than Sam, but older than Mindy. Sam\r\n" ); document.write( "is twice as old as Mindy, who is the youngest out of the three by 6 years. If Jess is 15 years old, how\r\n" ); document.write( "old are Sam and Mindy\r\n" ); document.write( "\r\n" ); document.write( "Jess: J\r\n" ); document.write( "Sam: S\r\n" ); document.write( "Mindy: M\r\n" ); document.write( "\r\n" ); document.write( "Jess is younger than Sam, so: J < S\r\n" ); document.write( "Jess in older than Mindy, so: J > M\r\n" ); document.write( "Sam is twice Mindy's age, so S = 2M ----- eq (i)\r\n" ); document.write( "Mindy is the youngest of the 3 by 6 years. Because Jess is the 2nd youngest, Jess is 6 years older than Mindy.\r\n" ); document.write( "Hence, J = M + 6 ----- eq (ii)\r\n" ); document.write( " 15 = M + 6 ---- Substituting 15 (given) for Jess, in eq (ii)\r\n" ); document.write( " 15 - 6 = M\r\n" ); document.write( " 9 = M (Mindy's age)\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "S = 2(9) ------ Substituting 9 for M in eq (i)\r\n" ); document.write( "Sam's age, or S = 18\n" ); document.write( " |