One fourth of a number, decreased by 10, is -50. find the number.

Let's assume the number be x.

One fourth of a number, decreased by 10, is -50 can be converted into an algebraic equation as following:

Multiply each sides by 4.

x-10=-200 (By simplifying)

x=-200+10 (Add 10 to each sides)

x=-190

So, the number is -190.

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