Question

a fraction becomes 1 by 2 if 5 is subtracted from its numerator and 3 subtracted from its denominator if the denominator of this fraction is 5 more than its numerator find the fraction

Answer 1

Let x be the numerator and y be the denominator.
So the fraction be x/y.
x-5/y-3 =1/2.
2(x-5)=y-3.
2x-10=y-3.
2x-y=-3+10
2x-y=7.....eqn1

y=5+x....eqn2.

Substitute value of y in eqn1.
we get:
2x-(5+x)=7.
2x-5-x=7.
x-5=7.
x=7+5
x=12.

Put value of x=12 in eqn2
We get,
y=5+12
y=17.

Hence the required fraction is 12/17.

Hope it helps u..

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