Question

When x is added to both numerator and denominator to the fraction 2/3 and 20/23.if the resultant fraction are equal.then what is the fraction of x

Answer 1

(X+2)/(x+3)=(x+20)/(x+23)
(x+2)(x+23)=(x+3)(x+20)
x^+23x+2x+46=x^+2x+3x+60
25x+46=23x+60
25x-23x=60-46
2x=14
x=14/2=7

Answer 2

Answer:

The fraction of x is 7

Step-by-step explanation:

Given Data:

Numerator: X + 2

Denominator: X + 3.

Same like

Numerator: X + 20

Denominator: X + 23

We need to find the fraction of x.

Follow the below steps to find the value.

Step 1:

(X + 2) / (x +3) = (x + 20) / (x + 23)

As per given data.

Step 2:

Simplified form:

(x + 2) (x + 23) = (x + 3)(x + 20)

Step 3:

$x^2$ + 23x + 2x+ 46=$x^2$+ 2x +3x + 60

Step 4:

25x + 46 = 23x + 60

Step 5:

Simplify in order to find the x value.

25x- 23x = 60 - 46

2x = 14

x = 14 / 2 = 7.