Question

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

Answer 1

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:

$\frac{1}{4} (x-10)=-50$

$\frac{1}{4} (x-10)*4=-50*4$ 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.