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JAMB 2011 · UTME · Q5

If the numbers MM, NN, QQ are in the ratio 5:4:35 : 4 : 3, find the value of 2N−QM\dfrac{2N - Q}{M}.

Worked solution (try it first)
  1. Write the numbers in terms of one part kk: M=5kM = 5k, N=4kN = 4k, Q=3kQ = 3k.
  2. Then 2N−Q=8k−3k=5k2N - Q = 8k - 3k = 5k.
  3. So 2N−QM=5k5k=1\dfrac{2N - Q}{M} = \dfrac{5k}{5k} = 1, option C.

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