Question

Two thirds of a number reduced by 11 is equal to 4 more than the number. Find the number.

Answer 1

Assume that the number is x:

2/3 of x take off 11 = 4x

Transform into numerical / algebraic form:

2/3 * x - 11 = 4x

Next multiply both sides by 3 to get rid of the fraction:

2 * x - 33 = 12x

Simplify:

2x - 33 = 12x

Isolate 2x by adding 33 to both sides:

2x = 12x + 33

Isolate 33 by taking 12x off both sides:

-10x = 33

Divide both sides by -10 to get the value of x:

x = 33/-10 (or x = -3.3)

Therefore the number is -3.3