JAMB - Mathematics (2010 - No. 8)

If p and q are two non zero numbers and 18(p+q) = (18+p)q, which of the following must be true?

q = 18

p <1

p = 18

q < 1

If 18(p + q) = (18 + p)q

then 18p + 18q = 18q + pq

18p = pq \(\implies\) q = 18.