A basket of 1430 apples is divided equally among a group of apple lovers. If 45 people join the group, each apple lover would receive 9 apples less. How many apples did each person get before 45 people joined the feast?

A. 20.
B. 21.
C. 22.
D. 23.
E. 24.
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Since I didn't know what equation to make, I used the answer choices.

First I wanted to see if 1430 is divisible by anyone of the answer choices. (If non of the answer choices divided the number 1430, I would have simply guessed and moved to another question in actual test.)

A.1430/20 = 143/2
B 1430/21 = 1430/21
C 1430/22 = 65 (I checked this number first.)

If 1430 apple was divided among 65 people, each would have received 22. After addition of 45 people the answer should be 13. 1430/110 = 13.

C is the answer.

Hi please tell me what is wrong with this approach

let a -> average ( initial )
and n -> number of people ( initial)

(1430) / n - (1430)/ (n+45) = 9


but by solving i am getting very bad value of n.

kindly help