Question

the numerator of a fraction is 1 less than denominator.if 2 is added to the numerator and 3 is added to denominator. the new fraction becomes 4/7. find the original fraction​

Answer 1

Answer:

let x-1 and X be the numerator and denominator respectively.

thn from question,

(x-1) +2/X+3=4/7

7(X+1)=4(X+3)

7x+7=4x+12

3x=5

x=5/3

x-1= 5/3-1= 2/3

thus denominator=5/3

and numerator=2/3

hope this help

Answer 2

Answer:

$\Large{\boxed{\underline{\overline{\mathfrak{\star \: Question :- \: \star}}}}}$

The numerator of a fraction is 7 less than the denominator.if 3 is added to the numerator and 2 is added to the denominator the value of the fraction becomes 2/3 .find the original fraction.

$\huge\underline{\overline{\mid{\bold{\pink{ANSWER-}}\mid}}}$

$\Large{\underline{\underline{\bf{GiVen:-}}}}$

Numerator of a fraction is 2 less than the denominator.

If 1 is added to the numerator and 3 to the denominator then the becomes ⅔ .

$\Large{\underline{\underline{\bf{Find:-}}}}$

Find the Original fraction :-

$\Large{\underline{\underline{\bf{SoLuTion:-}}}}$

Let the denominator of fraction is 'x' then Numerator be

(x - 2) .

X - 2 / x

Now ,

As per the question :-

$\implies \sf \: \frac{x + 3}{y + 2} = \frac{2}{3}$

x - 1 / x + 3 = 2/3

3 ( x - 1 ) = 2 ( x + 3 )

3x - 3 = 2x + 6

3x - 2x = 3 + 6

x = 3 + 6

x = 9

$\huge\pink{\mathbb{hence}}}}$]

Original Fraction = 9 - 2 / 9

Original Fraction = 7/9 .

✧･ﾟ: *✧･ﾟ:*✧･ﾟ: *✧･ﾟ:*✧･ﾟ: *✧･ﾟ:*✧･ﾟ: *✧･ﾟ:*