document.write( "Question 1170959: Patrick is 4 years younger than Charlie. Samantha is three times as old as Charlie and Samantha is half the age of Donald. If Alex is 2 years older than Charlie and all five of their ages total 142, how old is Patrick?
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\n" ); document.write( "Patrick is 4 years younger than Charlie. Samantha is three times as old as Charlie and Samantha is half the age of Donald. If Alex is 2 years older than Charlie and all five of their ages total 142, how old is Patrick?
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Let Patrick's age be P
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document.write( "Then Charlie's is: P + 4, and Samantha's is: 3(P + 4) = 3P + 12
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document.write( "With Samantha being half Donald's age, Donald's is twice Samantha's or 2(3P + 12) = 6P + 24
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document.write( "Finally, Alex' is: P + 4 + 2 = P + 6
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document.write( "We then get: P + P + 4 + 3P + 12 + 6P + 24 + P + 6 = 142
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document.write( "12P + 46 = 142
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document.write( "12P = 96
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document.write( "Patrick, or  \n" );
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