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You can put this solution on YOUR website!
there are 3 males A,B,C and 3 females X,Y,W. they played 18 games of
\n" ); document.write( "golf altogether.
\n" ); document.write( "1. A scored 94
\n" ); document.write( "2. X scored 106
\n" ); document.write( "3. Y scored 102.
\n" ); document.write( "4. Z scored 100.
\n" ); document.write( "5. B and C scored 96 and 98 and don't no who's score what??
\n" ); document.write( "6. A's wife beats C's wife.
\n" ); document.write( "7. there are two couples whose sum of scores is same.
\n" ); document.write( "Determine who's wife is who and scores of B and C.
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\n" ); document.write( "\n" ); document.write( "From Clue #6, we know that A's wife is not Z and C's wife is not X.
\n" ); document.write( "From Clue #7, we see that the choices for pairs that have the same sum are:
\n" ); document.write( "{100,96}and{102,94} OR {102,98}and{106,94}. Both of these contain A (94).
\n" ); document.write( "We know that A scored 94 (from Clue #1). Therefore A's wife could be Y, who scored 102, or she could be X, who scored 106. Use a grid like a tic-tac-toe board to set this up for exclusions (I don't know how to do that on this forum).
\n" ); document.write( "Let's look at each scenario, the pair {100,96}and{102(Y),94(A)} first.
\n" ); document.write( "If A's wife is Y, then one of the other pairs is {100,96}.
\n" ); document.write( "We already know that C's wife is not X. Therefore, with this pair, B's wife must be X. If that is so, then C's wife must be Z.
\n" ); document.write( "This gives us the pairs {94(A),102(Y)}, {98(B),106(X)}, and {96(C),100(Z)}.
\n" ); document.write( "Does this fit with all the clues? If so, we don't need to look at the other scenario.
\n" ); document.write( "6. A's wife beats C's wife. Yes, A's wife scored 102 and C's wife scored 100.
\n" ); document.write( "7. there are two couples whose sum of scores is same. Yes, A+Y=196 and C+Z=196.
\n" ); document.write( "(You can look at the other possibility, just for fun, to see whether there is more than one solution.) \n" ); document.write( "