book Maths Puzzle Numerical Ability

Harold camped out in the desert one evening. In the morning, he jumped into his car to go home. He drove at 30 mph headed for the nearest highway, which was 6 miles away. Just a

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please help me to find the value of "a" in the equation (5)/(a+3)=(3)/(a-2) 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?