## 217. Math Puzzle $6 / 83$

In an electrical circuit, the sum of two resistances is $35 \Omega$. The quotient of $2: 5$ is equal to the quotient of $R_{1}$ and $R_{2}$.

How large is each individual resistance?
$R_{1}+R_{2}=35 \Omega ; R_{1}: R_{2}=2: 5$

The individual resistances are therefore $R_{1}=10 \Omega$ and $R_{2}=25 \Omega$.