Just remember it is useful not to confuse you on this thing:
there are 4 more heads than tails
Number of heads=x
Number of tails=y

4 more heads...take an example if there are 12 tails, how many heads do you have? 12+4=16

16=12+4
x=y+4

The bigger one must not have +4, otherwise it is much bigger than what the reality is.

beater wrote: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.

Guys,
If x - heads and y - tails, based on the information provided in the question, the equation should be: 4+x=y. that is, 4 more heads than y. However, the equation is listed the other way around in OG. x=4+y. I'm not thinking straight for some reason. Could one of you please explain the reason as to why x=4+y is the correct approach . Thanks!

I go with D..

here it is ..

we know from the statement 1 that
h+t =24...........................................1

more more heads than tails from question stem
h = T +4 ............................................2

solve this to get t= 10. thus sufficient...
statement 2 can be written as

3h + t = 52..........................................3

solve 1 and 3 to get t =10 hence sufficient..

As far ur question on why " h= t +4" here what i undestand from it .. hope it helps you as well..

question says " 4 More heads resulted than tails "

assume u can flip the coin a only 6 times..

first flip u get a tail..

ur conditions is ur number of heads shud be 4 more than tails..

hence if theres 1 tails ur heads shud be 5 ( 1 + 4 more than tails)

thus ur heads are 5 and tails are 1

Now ur heads can also be written as 1 + 4

5 = 1 + 4 which is nothing but
H= t+4....

Hope it helps.. do let me know if u have any doubts

pepeprepa - thanks for the wonderful explanation. One quick clarification..

We should be able to solve this problem using this equation, correct? H+4=T? if tails is 1 then heads is 5. It is basically the reverse of what you had proposed. What say? Damn, i cant believe that I'm pulling my hair over this simple equation..

I am sorry I don't really understand your triple negative question
Do you say that we can solve the question with H+4=T ? Because the right one is H=T+4

If you need, tell us what you don't follow in Sudhir's explanation.

beater wrote:pepeprepa - thanks for the wonderful explanation. One quick clarification..

We should be able to solve this problem using this equation, correct? H+4=T? if tails is 1 then heads is 5. It is basically the reverse of what you had proposed. What say? Damn, i cant believe that I'm pulling my hair over this simple equation..

I believe that you mean H-4=T. You can't use H+4=T because the problem clearly states that there are 4 more heads than tails.

Thanks!