The dinominator of a fraction is 4 more than the numerator. If the dinominator is increased by 1 and the numerator dicreased by 1, then fraction becomes 4/7. Find the fraction.
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x = 9
Step-by-step explanation:
Let the numerator be 'x' and Denominator be 'y'.
Then the fraction = x/y.
Let the denominator is 4 more than numerator. Then the fraction =x/x+4
If Denominator is increased by 1 and numerator is decreased by 1, The fraction is equal to x-1/x+(4+1) = x-1/x+5
Given that the fraction is equal to 4/7.
This Implies,
x-1/x+5 = 4/7
By Cross Multiplication, We get
7(x-1) = 4(x+5)
Finally, We get x=9.
Therefore, The fraction = 9/13
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