Denominator of a fraction is 1 less than the three times of numerator if 13 is added to the numerator and 8 is added to the denominator then the fraction becomes 1 find the original fraction
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denominator of a fraction is less than 3 times means it is added to the denominator and becomes fine and original fraction thank you
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let fraction is = x / y
Denominator of fraction is 1 less than the three time of numerator :-
y - 1 = 3x --------eq(1)
Now 13 is added to the numerator and 8 is added to the denominator then the fraction becomes 1 :-
=> (x + 13) / (y + 8)= 1
=> x+13 = y+8
=> y - x = 5 ----------eq(2)
On solving eq (1) and eq (2) and we get the values 2 and 7 of x and y respectively.
Finally fraction is 2/7.
Step-by-step explanation:
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