document.write( "Question 1093674: Jack and Harry think of the same number.
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document.write( "Jack adds 2 to his number, and then multiplies by 5.
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document.write( "Harry multiplies his number by 7 and then subtracts 6.
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document.write( "They both get the same answer.
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document.write( "What number did they both think of?
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Algebra.Com's Answer #708368 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! let n = the number \n" ); document.write( ": \n" ); document.write( " Jack and Harry think of the same number. \n" ); document.write( " Jack adds 2 to his number, and then multiplies by 5. \n" ); document.write( "5(n+2) \n" ); document.write( " Harry multiplies his number by 7 and then subtracts 6. \n" ); document.write( "7n - 6 \n" ); document.write( " They both get the same answer. \n" ); document.write( " therefore: \n" ); document.write( "7n - 6 = 5(n + 2) \n" ); document.write( "7n - 6 = 5n + 10 \n" ); document.write( "7n - 5n = 10 + 6 \n" ); document.write( "2n = 16 \n" ); document.write( " n = 16/2 \n" ); document.write( " n = 8 is the number \n" ); document.write( ": \n" ); document.write( "You can confirm this yourself in both statements by replacing n with 8 \n" ); document.write( " |