Verified answer

 Let x be the number of people on the train.

 x - 19 + 17 = 63

 x = 65

 There were 65 people on the train.

63-17+19 = 65 <<<

To check: 65-19 = 46

46 + 17 = 63

At start, x were on the train. Then 19 got of leaving x-19 on the train. Then 17

got on, leaving x-2 = 63 on the train. So x = 65.

If 19 people got off but then 17 people got on, that's the same as if only 2 people got off.

Add back the 2 people and you have 65 that were on the train to begin with.

Answer:

65

There were some people on a train..................x

19 people get off the train at the first stop.........x-19

17 people get on the train.................................x-19+17

Now there are 63 people on the train...............x-19+17 = 63

How many people were on the train to begin with?

..........x-19+17 = 63

..........x-2 = 63

..........x = 63+2

..........x = 65..................ANS

63+19-17=65 people were on the train.

N +19 – 17 = 63

N = 63 + 17 – 19 = 63 – 2 = 61