document.write( "Question 1090755: Tim and Jeff have some money. If Jeff gives $5 to Tim, then they will have the same amount of money.
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Algebra.Com's Answer #705194 by ikleyn(52778) $\"\"$ $\"About$

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document.write( "Let Tim has T dollars, and let Jeff has J dollars.\r\n" );
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document.write( "If Jeff gives $5 to Tim, Jeff will have (J-5) dollars, while Tim will have (T+5) dollars.\r\n" );
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document.write( "According to the condition, these amounts are identical, which gives you an equation\r\n" );
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document.write( "J - 5 = T + 5.       (1)\r\n" );
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document.write( "If in opposite, Tim gives $5 to Jeff, Tim will have (T-5) dollars, while Jeff will have (J+5) dollars.\r\n" );
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document.write( "According to the condition, in this case you obtain this equation\r\n" );
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document.write( "J + 5 = 2*(T-5).     (2)\r\n" );
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document.write( "The equations (1) and (2) form the system of two equations for two unknowns.\r\n" );
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document.write( "From (2), express J = T + 5 + 5 = T + 10 and substitute it into (2), replacing J:\r\n" );
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document.write( "(T+10) + 5 = 2*(T-5),\r\n" );
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document.write( "T + 15 = 2T - 10,\r\n" );
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document.write( "10 + 15 = T  ====>  T = 25.\r\n" );
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document.write( "Answer.  Tim has $25.   Jeff has T+10 = 25 + 10 = 35 dollars.\r\n" );
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