book Maths Puzzle Numerical Ability

A ten-gallon aquarium is 3 inches higher than it is wide. Its length is 21 inches., and its volume is 2730 inches cubed. What are the height and width of the aquarium?

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I need help with a question, Find the value of a in the equation

5
--- =
a+3

3
---
a-2


I think the answer is a= 2 3/8

Am I right, Can someone let me know?
The vector v has an initial point P and terminal point Q. Write v in the form ai+bj; that is, find its positive vector.
P=(-2,-1);Q=(6,-2)