COMPOSE THE SALUTATIONS THAT YOU WOULD LOVE TO USE WHILE WRITING A LETTER TO YOUR MOTHER TELLING YOUR PROGRESS IN STUDIES. Plz it's urgent
Answers
Answer:
Given :
The numerator of a fraction is 4 less than the denominator .
If 1 is subtracted from numerator and 3 is added to the denominator the fraction becomes 1/5 .
To Find :
Original Fraction .
Solution :
\longmapsto\tt{Let\:Denominator\:be=x}
As Given that The numerator of a fraction is 4 less than the denominator . So ,
\longmapsto\tt{Numerator=x-4}
Now ,
If 1 is subtracted from numerator and 3 is added to the denominator the fraction becomes 1/5 .
\longmapsto\tt{Numerator=x-4-1=x-5}⟼Numerator=x−4−1=x−5
\longmapsto\tt{Denominator=x+3}⟼Denominator=x+3
A.T.Q :
\longmapsto\tt{\dfrac{x-5}{x+3}=\dfrac{1}{5}}⟼x+3x−5=51
\longmapsto\tt{5(x-5)=1(x+3)}⟼5(x−5)=1(x+3)
\longmapsto\tt{5x-25=x+3}⟼5x−25=x+3
\longmapsto\tt{5x-x=3+25}⟼5x−x=3+25
\longmapsto\tt{4x=28}⟼4x=28
\longmapsto\tt{x=\cancel\dfrac{28}{4}}⟼x=428
\longmapsto\tt\bf{x=7}⟼x=7
Value of x is 7 .
Therefore :
\longmapsto\tt{Numerator=7-4}
\longmapsto\tt\bf{3}
\longmapsto\tt{Denominator=x}
\longmapsto\tt\bf{7}
So , The Fraction is 3/7 .
Answer:
MPOSE THE SALUTATIONS THAT YOU WOULD LOVE TO USE WHILE WRITING A LETTER TO YOUR MOTHER TELLING YOUR PROGRESS IN STUDIES. Plz it's urgent