Question

A fraction becomes 1/2 if 5 is subtracted from its numerator and 3 is subtracted from its denominator . If the denominator of this fraction is 5 more than its numerator. Find the fraction.

Answer 1

Answer:

Step-by-step explanation:

Let the fraction be X/y

Atq

X-5/y-3=1/2. EQ 1

Y=X+5. EQ 2

2×(x-5) = y-3

Putting value of y from EQ 2 we get,

2x-10= X+5-3

2x-10=x-2

Therefore, X=8 and y=13

Therefore fraction is 8/13

Answer 2

Step-by-step explanation:

Fraction = 1/2

Numerator = x - 5

Denominator = y - 3

x-5/x-3 = 1/2

2(x-5) = y - 3

2x - 10 = y - 3

2x - y = 7

y = 2x - 7

Also, y = 5 + x

2x - 7 = 5 + x

x = 12

y = 24 - 7

y = 17

Fraction = 12/17