## 36. San Salvador Embankment

Would you come to have dinner with me tonight? I live in one of the eleven houses on San Salvador Embankment; however, to find out which one, you will have to think.

When, from my home, I look at the sea and multiply the number of houses to my left by the number of houses to my right, I get a number that is 5 more than the similar number obtained by my left neighbor when he does the same.
36. Let $d$ be the number of houses to the right of my house when I look at the sea, and $g$ be the number of houses to the left of it. Then

$$
d+g=10,
$$

and

$$
d g-(d+1)(g-1)=5
$$

or

$$
d+g=10, \quad d-g=4 .
$$

From this, $2 d=14, d=7$ and, therefore, $g=3$.

Thus, my house is the fourth from the left when looking at the sea, or the fourth from the right if you turn your back to the sea.