ACT Handbook, 2019 Edition

Section 6.1.12
Question 1: The sum of real numbers p and q is 20, with q > p. Their difference is 4. What is the value of
\frac{p}{q} ?

Section 6.2.1
Question 8: If p > q > r > 1 are positive integers, with the greatest common factor of \ldots

Section 7.1.12
Question 1: p+q = 20 and q-p = 4. Adding the 2 equations gives 2q = 24 \Rightarrow q = 12 \Rightarrow p = 20-q = 20-12 = 8 \Rightarrow \frac{p}{q} = \frac{8}{12} =\frac{2}{3}.