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

Solution:

Given, two thirds of a number reduced by 11 is equal to 4 more than the number.

Let the number be x.

The algebraic expression can be written as follows

Two thirds of a number = (2/3)x

Reduced by 11 = -11

4 more than the number = 4 + x

Now, (2/3)x - 11 = 4 + x

Multiplying by 3 on both sides,

2x - 33 = 12 + 3x

Grouping of common terms,

3x - 2x = -12 - 33

x = -45

Therefore, the number is -45.

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

Summary:

Two thirds of a number reduced by 11 is equal to 4 more than the number. The number is -45.