The denominator of a fraction is 3 more than twice the numerator. If both numerator and
denominator are reduced by 1, the denominator becomes three times the numerator. Find
the fraction.
class 10th question
denominator are reduced by 1, the denominator becomes three times the numerator. Find
the fraction.
class 10th question
Answers & Comments
Answer:
Let the numerator and denominator of the fraction be x and y respectively. Then,
Fraction = x/y
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 =7/18