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Stand in Line

  You are waiting in a long line to get on a roller coaster(過山車). To make the time go faster you count the people ahead of you and find that you are the 38th in line. Then you look behind and feel pretty lucky because you count that you are the 56th from the end.

How many people are there in line?

Hints(提示):

1.Use smaller numbers in the problem a couple of times to see if you can find a pattern(列式).

2.Drawing a diagram(圖表) when using smaller numbers can help you find the pattern.

答案:
解析:

  There are 93 people in line.

  Using smaller numbers you can find a pattern: the number of people in line is 1 less than the sum(總數(shù)、和), of the numbers that give your position(位置).

  For example, if you are the 2nd from the front and the 3rd from the end, the number of people would be 1 less than the sun of 2 and 3:

  2+3=5;51=4. There would be four people in line.

  38+56=94,941=93.


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