the denominter of a fraction is 4 mor ine than twice its numerator.Donomimator becomes 12 times the numerator,if the both the numerator and the denominter are reduced by 6 find the fraction
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Answered by
2
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
Putting x=7 in equation (i), we get
14−y+4=0
⇒y=18
Hence, required fraction =
18
7
.
Answered by
0
Answer:
denominator is 6 numerator is 1
Step-by-step explanation:
let x be numerator and y be denominator
y=2x+4
12(y-6)=x-6
12y-72=x-6
12y-66=x sub this in first equation
y=24y-132+4
23y=128
y=6
x=1
I'm not sure
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