Answer
$325\ \Omega$ and $ 975\ \Omega$
Work Step by Step
Let the smaller resistance be $x$. Then the larger one will be $3x$. We add them and solve for $x$ as follows:
$$
x+3x=1300 \Longrightarrow 4x=1300 \Longrightarrow x=\frac{1300}{4}=325
.$$
Thus, the smaller resistance is $325\ \Omega$ and the larger resistance is $3\times 325=975\ \Omega$
