book Maths Puzzle Numerical Ability

one number is 5 times another number the sum of the two numbers is 270 what is the number

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Can you please help?

Two problems:

-x^2 -2x/x + 1 < 0

7x -1 / x^2 - 1 < 0
Rewrite this expression with a fraction as the coefficient. -5x over 11.