book Maths Puzzle Numerical Ability

I am having problems setting up this problem. The sum of the digits in a two digit number is 8. When the digits are reversed, the new number is 8 less than the original number. What is the original number?

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Let x1 < x2 <.....<xm, For i = 1,......,m, define linear operators Ti: Pn(R)--> R^1 by TiP=P(Xi). If m<=n, show that (T1,....,Tm) is linearly independent. What happens if m> n? exp The length of a rectangle is three inches more than the width. The area of the rectangle is 270 inches. Find the width of the rectangle.