Question

the sum of numerator and the denominator is 8 if 3 is added both to numerator denominator fraction 3/4 find the fraction​

Answer 1

Answer:

Step-by-step explanation:let numerator=x

Let denominator=y

So fraction=x/y

ATQ

x+y=8

x+3/y+3=3/4

4(x+3)=3(y+3). (Cross multiplying)

4x+12=3y+9

4x+12-3y-9=0

4x-3y+3=0

Two equations are

x+y-8=0. Eq1

4x-3y+3=0. Eq3

Multiple 4 on both sides of eq1

4(x+y-8)=0×4

4x+4y-32=0. eq2

Subtracting eq2-eq3

4x+4y-32-(4x-3y+3)=0

4x+4y-32-4x+3y-3=0

7y -35=0

7y=35

y=5

Putting value of x in eq 1

x+5=8

x=8-5

x=3

Hence fraction=x/y =3/5

Fraction=3/5

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