Question

if 5 is added to both the numerator and the denominator of afraction the result is 4/7 . if 1 is added to both numenator and deniminator the resuit is 2/5. find the fraction

Answer 1

Answer:

ANSWER

Let the numerator and denominator of the fraction be x and y respectively. Then,

Fraction =

y

x

It is given that

Denominator =2 (Numerator) +4

⇒y=2x+4

⇒2x−y+4=0

According to the given condition, we have

y−6=12(x−6)

⇒y−6=12x−72

⇒12x−y−66=0

Thus, we have the following system of equations

2x−y+4=0 .(i)

12x−y−66=0 ..(ii)

Subtracting equation (i) from equation (ii), we get

10x−70=0

⇒x=7