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WAEC Mathematics 1998 Question 15

Question 15

Algebraic Expressions

If h(m + n) = m(h + r) find h in terms of m, n and r

  1. A.h = mr/(2m + n)
  2. B.h = mr/(n + m)
  3. C.h = (m + r)/n
  4. D.h = (m + n)/m
  5. E.h = mr/n
Show the answer and explanation

Answer: E (h = mr/n)

Explanation

Expand: hm + hn = hm + mr. The hm terms cancel, leaving hn = mr, so h = mr/n.