Question

the sum of the numerator and denominator of a fraction is 4 more thsn twice the numerator. if the numerator and denominator are increased by 3, they are in the ratio 2:3. determine the fraction​

Answer 1

Step-by-step explanation:

ANSWER

Let numerator =x and denominator=y

∴Fraction=yx

According to the first condition

⇒x+y=2x+4

⇒y=x+4.....eq1

According to the second condition

⇒y+3x+3=32

⇒3x+9=2y+6⇒3x−2y=−3....eq2

Substitute   the   value   of   y   from   eq1     to   eq2

⇒3x−2(x+4)=−3⇒3x−2x+8=−3⇒x=5

Put   x=5   in   eq1

⇒y=5+4⇒y=9

Hence,fraction=95