I4.1 Given that $\frac{10 x-3 y}{x+2 y}=2$ and $p=\frac{y+x}{y-x}$, find the value of $p$.
I4.2 Given that $a \neq b$ and $a x=b x$. If $p+q=19(a-b)^{x}$, find the value of $q$.
I4.3 Given that the sum of $q$ consecutive numbers is 222 , and the largest of these consecutive numbers is $r$, find the value of $r$.

I4.4 If $\tan ^{2}(r+s)^{\circ}=3$ and $0 \leq r+s \leq 90$, find the value of $s$.
$$
\begin{array}{l}
10 x-3 y=2(x+2 y) \\
8 x=7 y \\
p=\frac{y+x}{y-x} \\
\quad=\frac{8 y+8 x}{8 y-8 x} \\
\quad=\frac{8 y+7 y}{8 y-7 y}=15 \\
a \neq b \text { and } a x=b x \Rightarrow x=0 \\
p+q=19(a-b)^{x} \\
\Rightarrow 15+q=19 \\
q=4
\end{array}
$$

The smallest integer is $r-q+1$
$$
\begin{array}{l}
\frac{q}{2}(r-q+1+r)=222 \\
\Rightarrow 2(2 r-3)=222 \\
r=57 \\
\tan ^{2}(57+s)^{\circ}=3 \\
57+s=60 \\
s=3
\end{array}
$$