document.write( "Question 1150731: The sum of the ages of Jake and Mariah is 82 years. 11 years ago, Jake's age was 3 times Mariah's age. How old is Jake now?
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\n" ); document.write( "The sum of the ages of Jake and Mariah is 82 years. 11 years ago, Jake's age was 3 times Mariah's age. How old is Jake now?
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Let Jake's age be J
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document.write( "Then Mariah's is 82 - J
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document.write( "Eleven years ago, Jake was 3 times Mariah's age, and so, we get: J - 11 = 3(82 - J - 11)
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document.write( "J - 11 = 3(71 - J)
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document.write( "J - 11 = 213 - 3J
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document.write( "J + 3J = 213 + 11
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document.write( "4J = 224
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document.write( "J, or Jake is:  \n" );
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