book Maths Puzzle Numerical Ability

Use a system of equations to solve the following:

The sum of two numbers is 54. The difference of the two numbers is 18. Find the two numbers.

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book Other Question

why the distributive property for addition over multiplication is true for fractions with the common denominators? 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?