JAMB Mathematics 2010 Question 24

Question 24

Algebraic Expressions

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

  1. A.q = 18
  2. B.p = 18
  3. C.p<1
  4. D.q<1
Show the answer and explanation

Answer: A (q = 18)

Explanation

18p + 18q = 18q + pq gives 18p = pq. Since p ≠ 0, q = 18.