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We will assume the friends to be x and the contribution they are going to make be y

so, 

xy = (x-2)(y+1) 

= xy - 2y + x - 2

x = 2(y+1)

Here are the possible values of y,x and yx:

y = 21,22,23,24

x = 44,46,48,50

xy = 920, 1012,1104,1200

1000 < xy < 1100 (y,x) 

= (22,46)

which will be x = 46

So the number of friends would be x -2 = 44

Some friends planned to contribute equally to jointly buy a CD player. However, two of them decided to withdraw at the last minute. As a result, each of the others had to shell out one rupee more than what they had planned for. If the price (in Rs.) of the CD player is an integer between 1000 and 1100, find the number of friends who actually contributed?





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