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
Explication
If 18(p + q) = (18 + p)q
then 18p + 18q = 18q + pq
18p = pq \(\implies\) q = 18.
If 18(p + q) = (18 + p)q
then 18p + 18q = 18q + pq
18p = pq \(\implies\) q = 18.