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4 more heads than tails

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4 more heads than tails

by sanju09 » Sat Feb 21, 2009 4:39 am
When a player in a certain game tossed a coin a number of times, 4 more heads than tails resulted. Heads or tails resulted each time the player tossed the coin. How many times did heads result?

(1) The player tossed the coin 24 times

(2) The player received 3 points each time heads resulted and 1 point each time tails resulted, for a total of 52 points.
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by sureshbala » Sat Feb 21, 2009 6:18 am
Each statement alone is sufficient.

If x is the number of tails, it is given that (x+4) is the number of heads.

From I : x+x+4 = 24. So x = 10 and hence heads must be 14

From II: 3(x+4) + x = 52. So x = 10 and hence heads must be 14.

So D is the answer
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