Let n represent the number.

The word “less” represents subtraction and the symbol is .

Two-thirds of a number indicates .

The word “is” indicates the symbol “=”.

Let n = number.          

Rewrite the sentence into equation, \ \

The equation is 29 = 13 + 4n. \ \

According to subtraction property of equality: If a = b then a – c = b – c.

29–13 = 13 + 4n–13           (Subtract 13 from both sides)

29–13 = 4n                          (Additive inverse property: 13–13 = 0)

16 = 4n                                (Subtract: 29–13 = 26) \ \

                           (Divide each side by 4 )

                               (Cancel common terms)

n = 4                                     (Divide: )

Check:

To check the solution, substitute n = 4 in original equation.   

  29 = 13 + 4(4) \ \

29 = 13 + 16                          (Multiply: 4(4) = 16)

29 = 29                                  (Add:13 + 16 = 29)

Compare the values, the equation is true.

The value of n = 4.