Problema Solution

the difference of triple a number and 1/2 is equal to the sum of the number and 2/3. find the number.

Answer provided by our tutors

Let's call the number X.

Translate the wordy problem into an equation.

3*X +1/2 = X + 2/3.

Solve the equation

2*X = 2/3-1/2

To combine fractions, put them over a common denominator.  i.e. times the top and the bottom of 2/3 by 2 and the top and the bottom of 1/2 by 3.

2*X = 4/6 - 3/6 = 1/6.

Therefore X=1/12.