Evaluate ((3)/(7) - (5)/(8)) x (2)/(3)3 + (1)/(7) of (2)/(3)

First, calculate the difference inside the parenthesis:

Next, multiply the result by $\frac{2}{3}$:

So, the numerator is $\frac{-11}{84}$.

First, calculate $\frac{1}{7} \text{ of } \frac{2}{3}$:

Next, add 3 to the result:

So, the denominator is $\frac{65}{21}$.

Simplify by dividing 84 by 21 ($84 \div 21 = 4$):

The evaluated expression is $\boxed{\frac{-11}{260}}$.

2. A two-digit number is such that when the digits are reversed, the value of the number increases by 36. If the sum of the unit digit and twice the tens digit is 16, find the number.

Let the tens digit be $t$ and the unit digit be $u$.
The original number can be represented as $10t + u$.
The number with digits reversed is $10u + t$.

Condition 1: When the digits are reversed, the value of the number increases by 36.

Divide by 9:

Condition 2: The sum of the unit digit and twice the tens digit is 16.

From Equation 1, express $u$ in terms of $t$:

Substitute this expression for $u$ into Equation 2:

Now substitute the value of $t$ back into $u = t + 4$:

The tens digit is $t=4$ and the unit digit is $u=8$.
The number is $1