book Maths Puzzle Numerical Ability

the sum of two numbers is 8. their difference is 12. find the numbers.

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book Other Question

Idk how to solve and check this problem,

The sum of a number and its reciprocal is 10/3. What is the number?
Solve the system.

6y + w = -10

x + y + 3z - w = 13

6x + z + 3w = 14

x + y + 5z = 13