Question 257482: the antecedent and consequent of a ratio differ by 40 and is equal to 2/7. find the ratio.
Answer by drk(1908)   (Show Source):
You can put this solution on YOUR website! We have a fraction of the following type
N/D, where D NOT = 0.
Based on the given information,
D - N = 40
and
N/D = 2/7.
This is a reduced number.
D = 40 + N
by substitution, we get
N / (40+N) = 2/7
cross multiply to get
7N = 80 + 2N
solve for N to get
5N = 80
N = 16
Since N = 16, D = 56
Our fraction is 16/56.
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