A motor boat of a fraction is 3 less than its denominator . if 2 is added to both the numerator and the denominator then the sum of the new fraction and the original fraction is 29/20
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Let the denominator be x Numerator is x-3 The fraction is (x-3)/x when 2 is added to numerator and denominator we have fraction as (x-1)/(x+2) ATQ (x-3)/x +(x-1)/(x+2)= 29/20 ⇒ (x-3)((x+2) +x(x-1)=x(x+2)*29/20 ⇒ (x²-6-x + x²-x)20= 29x²+58x ⇒ 40x²-120-40x=29x²+58x ⇒ 11x²-98x- 120=0 ⇒ 11x² - 110x +12x -120=0 ⇒ (11x+12)(x-10)=0 Canceling the negative fraction value of x we have x=10 Then the fraction (x-3)/x=7/10 #hope it helps..
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