document.write( "Question 761836: If I give my sister 17 dollars, then we will have the same amount of money. If instead she gives me 23 dollars, then I'll have three times as much money as she has. How much money does she currently have (in dollars)? \n" ); document.write( "
Algebra.Com's Answer #463526 by ankor@dixie-net.com(22740)\"\" \"About 
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If I give my sister 17 dollars, then we will have the same amount
\n" ); document.write( " of money.
\n" ); document.write( "f instead she gives me 23 dollars, then I'll have three times as
\n" ); document.write( " much money as she has.
\n" ); document.write( "How much money does she currently have (in dollars)?
\n" ); document.write( ":
\n" ); document.write( "Let a = amt you have
\n" ); document.write( "Let b = amt sister has
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\n" ); document.write( "\"If I give my sister 17 dollars, then we will have the same amount\"
\n" ); document.write( "a - 17 = b + 17
\n" ); document.write( "a = b + 17 + 17
\n" ); document.write( "a = b + 34
\n" ); document.write( ":
\n" ); document.write( "\"she gives me 23 dollars, then I'll have three times as much money\"
\n" ); document.write( "3(b - 23) = a + 23
\n" ); document.write( "3b - 69 = a + 23
\n" ); document.write( "3b = a + 23 + 69
\n" ); document.write( "3b = a + 92
\n" ); document.write( "replace a with (b+34)
\n" ); document.write( "3b = b + 34 + 92
\n" ); document.write( "3b - b = 126
\n" ); document.write( "2b = 126
\n" ); document.write( "b = 126/2
\n" ); document.write( "b = $63 original amt of your sister
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\n" ); document.write( "Check this; find your amt
\n" ); document.write( "a = 63 + 34
\n" ); document.write( "a = $97 your original amt
\n" ); document.write( "Your sister give you 23, you have 120
\n" ); document.write( "She has 63 - 23 = 40 which is 1/3 of 120 \n" ); document.write( "
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