Question

9. There are two floors to a mall – first and second. If 10 people go from first to
second floor, then the number of people on each floor will be the same. If 20
people go from second floor to first, then the number of people on first floor will
be double the number of people on second floor. The original number of people
on first floor is:
20
O 100
O 80
O 200​

Answer 1

Answer:

80

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Answer 2

Answer:

The original number of people on the first floor = 100

Step-by-step explanation:

Let 'x' be the number of people on the first floor originally and 'y' be the number of people on the second floor originally

Required to find the value of 'x'

If 10 people go from the first floor to the second floor, then the number of people on each floor will be the same.

That is, x -10 = y +10

y = x - 20 ----------------(1)

If 20 people go from the second floor to the first, then the number of people on the first will be doubled the number of people on the second floor.

2(y - 20) = x+20

2y - 40 = x + 20

2y = x+60 ------------(2)

Substituting the value of 'y' from equation(1) in equation(2) we get

2(x-20) = x+60

2x - 40 = x+60

2x - x = 100

x = 100

∴The original number of people on the first floor = 100

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