The numerator of a fraction is 4 less than the denominator. If the numerator is decreased by 2 and denominator is increased by 1, then the denominator is eight times the numerator. Find the fraction.
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Answer:
3/7 is the answer hope this helps like if helped...
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Fraction = 3/7
Step-by-step explanation:
Let x be the numerator and y the denominator.
Given:
x + 4 = y
x - y = -4 -------------(1)
8(x - 2) = (y + 1)
8x - y = 17 -------------(2)
Subtracting (2) from (1), we get: -7x = -21
Therefore x = -21/-7 = +3
Substituting in x = 3 equation 1, we get 3 - y = -4
Therefore y = 7
Hence solved. x = 3, y = 7
So the fraction will be x/y = 3/7.
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