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

Mathematics
WAEC 1998
If h(m+n) = m(h+r) find h in terms of m, n and r
  • A. \(h=\frac{mr}{2m+n}\)
  • B. \(h=\frac{mr}{n+m}\)
  • C. \(h=\frac{m+n}{n}\)
  • D. \(h=\frac{m+n}{m}\)
  • E. \(h=\frac{mr}{n}\)
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Correct Answer: Option E
Explanation
\(h(m+n) = m(h+r)\\
hm+hn=hm+mr\\
hn=mr\\
h=\frac{mr}{n}\)
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