Need help with some math questions

I'm having trouble with these word problems and they will be on my final.

Can someone help and explain? My teacher doesn't explain it that well.

1. The perimeter of a rectangle is 116. The length is 16 cm greater than the width. Find the width and length.

2. At a club, 225 tickets were sold. Adult tickets = $6 Children tickets = 5.25. In all, $1264.50 was made. How many of each kind of ticket sold?

3. One number is 2 more than three time another. Their sum is 26. Find the numbers.

4. The sum of a two digit number is 7. When the digits are reversed the number is increased by 27. Find the number.

I get the basic concepts for some of these but I just don't get how it works.

Thanks, I will choose best answer!

1) Considering x the width and y the length, then 2x+2y = 116 ==> x+ y = 58

And y = x+ 16 .... then x + x+ 16 = 58 ==> x = 21 and y = 37 ... width = 21cm and length = 37cm. OK!

2) Considering x the adult ticket and y the children ticket , then x+ y = 225

And 6x + 5.25y = 1,264.50... from the first equation y = 225 -x

The put in the second equation 6x +5.25(225 -x) = 1,264.50 ==> x = 111 and y = 114 OK!

3) Considering the numbers x and y we have... x+y = 26 and y = 3x +2

Put it in the first equation... x+ 3x + 2 = 26 ==> x =6 and y = 20 OK!

4) Considering x and y the digits we have x+ y = 7 .... Considering the number xy = 10x + y

The reversed is yx = 10y + x .... then 10y + x = 10x +y + 27 .... from the first equation y = 7-x

Then 10(7-x) + x = 10x + 7-x + 27 ==> x= 2 and y =5 OK!