SOLUTION: The denominator of a fraction is 5 more than the numerator. If both the numerator and denominator are decreased by 2, the resulting fraction is equivalent to 7/12. Find the fractio
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Question 666968: The denominator of a fraction is 5 more than the numerator. If both the numerator and denominator are decreased by 2, the resulting fraction is equivalent to 7/12. Find the fraction.
Answer by ReadingBoosters(3246) (Show Source): You can put this solution on YOUR website!
Establish variables
x = numerator
y = denominator
...
Given
y = x+5
...
Substitute y into the second equation
...
Cross multiply
12(x-2) = 7((x+5)-2)
12x - 24 = 7x + 35 - 14
...
Combine like terms
12x - 7x = 35 - 14 + 24
5x = 45
x = 9
...
y = x+5 = 9+5 = 14
...
Which was the long way of seeing that
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