If 3/5 of a number exceeds 1/2 of the same number by 2, find the number. Ikiwa 3/5 ya namba inazidi 1/2 ya namba hiyo kwa 2, tafuta namba hiyo.

Let the unknown number be $x$.
"$\frac{3}{5}$ of a number" can be written as $\frac{3}{5}x$.
"$\frac{1}{2}$ of the same number" can be written as $\frac{1}{2}x$.
The phrase "exceeds ... by 2" means that the first quantity is 2 more than the second quantity.
So, the equation is:

$$\frac{3}{5}x = \frac{1}{2}x + 2$$

Subtract $\frac{1}{2}x$ from both sides of the equation:

$$\frac{3}{5}x - \frac{1}{2}x = 2$$

The least common multiple of 5 and 2 is 10.
Convert the fractions to have a denominator of 10:

$$\frac{3 \times 2}{5 \times 2}x - \frac{1 \times 5}{2 \times 5}x = 2$$ $$\frac{6}{10}x - \frac{5}{10}x = 2$$

Combine the terms:

$$\left(\frac{6 - 5}{10}\right)x = 2$$ $$\frac{1}{10}x = 2$$

Multiply both sides of the equation by 10:

$$x = 2 \times 10$$ $$x = 20$$

The number is 20.

The final answer is $\text{B) 20}$.