Question

Please answer is it​

Answer 1

Here is your answer ❤.

Let the numerator be x

denominator will =2x−2

If 3 is added to both then fraction = 3/2

⇒ 2x−2+3

x+3

= 3/2

⇒3x+9=4x−4+6

⇒7=x

∴ Denominator =2x−2=12

Fraction =

2x−2/x

= 12/7

Answer 2

Step-by-step explanation:

$\large\bf\underline\red{Question ➡} \\ \\ \sf in \: a \: rational \: number \: twice \: the \: numerator \: \\ \sf \: is \: 2 \: more \: than \: the \: denominator \: . \\ \sf \: if \: 3 \: is \: added \: to \: the \: numerator \: and \: \\ \sf \: denominator \: the \: number \: becomes \: \frac{2}{3} \\ \sf \: find \: the \:n umber \: ? \\ \\ \large\bf\underline\red{solution➡} \\ \\ \sf \: let \: numerator \: = x \\ \sf \therefore \: denominator \: = 2x - 2 \\ \\ \large\bf\underline\red{A.T.Q} \\\\ \sf \: 3 \: is \: added \: in \: both \: numerator \\ \sf\: and \: denominator \\ \\ \sf \frac{x + 3}{2x - 2 + 3} = \frac{2}{3} \\ \\ \sf \underline{by \: cross \: multiplication} \\ \\\sf \: 3x + 9 = 4x + 2 \\ \\ \sf\fbox\red{ x = 7} \\ \\ \bf \: numerator \: = \fbox\red{ x = 7} \\ \\\sf \: denominator \: = 2x - 2 = 14 - 2 \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 12 \\ \\ \bf \: \: denominator = \fbox\red{ x = 12} \\ \\ \bf \: fraction \: = \: \large{\boxed{\mathfrak\red{\fcolorbox{magenta}{aqua}{7/12}}}}$.