When 5 oranges were given to each member of a group, one orange was left. When each one was given 8 oranges, one person did not get any. The number of people in the group was ________.

Question


When 5 oranges were given to each member of a group, one orange was left. When each one was given 8 oranges, one person did not get any. The number of people in the group was __.


A. 3
B. 4
C. 5
D. 6


Answer: A. 3


Solution:

According to question,

Let us assume there are x persons in the group,

5x + 1 = 8(x – 1)

=> 5x + 1 = 8x – 8

=> 3x = 9

=> x = 3

So, there are 3 persons in the group.

Hence, ‘3’ is the correct answer.

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